Publications
- C. Aistleitner. Convergence
of \sum c_k f(kx) and the Lip \alpha class. Proc. Amer. Math. Soc. To appear.
- C. Aistleitner. Covering
numbers, dyadic chaining and discrepancy. J. Complexity. To appear.
- C. Aistleitner. Diophantine
equations and the LIL for the discrepancy of sublacunary sequences.
Illinois J. Math., 53, (2009), 785–815.
- C. Aistleitner. Irregular
discrepancy behavior of lacunary series. Monatsh. Math., 160, (2010),
1–29.
- C. Aistleitner. Irregular
discrepancy behavior of lacunary series II. Monatsh. Math., 161,
(2010), 255–270.
- C. Aistleitner.
On modifying normal numbers. Unif. Distrib. Theory. To appear.
- C. Aistleitner. On
the class of limits of lacunary trigonometric series. Acta Math.
Hungar., 129, (2010), 1–23.
- C. Aistleitner. On
the law of the iterated logarithm for the discrepancy of lacunary
sequences. Trans. Amer. Math. Soc., 362, (2010), 5967-5982.
- C. Aistleitner. On the law of
the iterated logarithm for the discrepancy of sequences (n_k x) with
multidimensional indices. Unif. Distrib. Theory, 2, (2007),
89–104.
- C. Aistleitner. The
law of the iterated logarithm for \sum c_ kf(nkx). In I. Berkes,
R. Bradley, H. Dehling, M. Peligrad, and R. Tichy, eds.,
Dependence in probability, analysis and number theory. Kendrick Press (2010),
pp. 21–34.
- C. Aistleitner and I. Berkes. Metric
discrepancy theory and Kolmogorov's distribution. Submitted.
- C. Aistleitner and I. Berkes. On
the central limit theorem for f(nkx). Prob. Theory Rel. Fields, 146,
(2010), 267–289.
- C. Aistleitner and I. Berkes. On
the law of the iterated logarithm for the discrepancy of (n_k x).
Monatsh. Math., 156, (2009), 103–121.
- C. Aistleitner and I. Berkes. Probability
and metric discrepancy theory. Stoch. Dyn., 11(1), (2011), 183–207.
- C. Aistleitner, I. Berkes, and R. Tichy. Lacunary
sequences and permutations. In I. Berkes, R. Bradley,
H. Dehling, M. Peligrad, and R. Tichy, eds., Dependence in
probability, analysis and number theory. Kendrick Press (2010), pp.
35–49.
- C. Aistleitner, I. Berkes, and R. Tichy. On permutations
of lacunary series. RIMS Kôkyűroku Bessatsu. To appear.
- C. Aistleitner, I. Berkes, and R. Tichy. On permutations
of the Hardy-Littlewood-Pólya sequences. Trans. Amer. Math. Soc. To
appear.
- C. Aistleitner, I. Berkes, and R. Tichy. On the
asymptotic behavior of weakly lacunary sequences. Proc. Amer. Math.
Soc. To appear.
- C. Aistleitner, I. Berkes, and R. Tichy. On the
discrepancy of permuted lacunary series. In A. N. Parshin,
ed., Festschrift for A. A. Karatsuba. Steklov Mathematical Institute (2011).
- C. Aistleitner and C. Elsholtz. The
central limit theorem for subsequences in probabilistic number theory.
Canad. J. Math. To appear.
- C. Aistleitner and K. Fukuyama. On
the law of the iterated logarithm for trigonometric series with bounded
gaps. Submitted.
- C. Aistleitner and M. Hofer. Probabilistic
error bounds for the discrepancy of mixed sequences. Submitted.
- C. Aistleitner, M. Hofer, and R. Tichy. A central limit
theorem for Latin hypercube sampling with dependence and application to exotic
basket option pricing. Submitted.
- C. Aistleitner and S. Hörmann. Upper
and lower class separating sequences for Brownian motion with random
argument. Probab. Math. Statist. To appear.
- C. Aistleitner, P. Mayer, and W. Ziegler. Metric
discrepancy theory, functions of bounded variation and GCD sums. Unif.
Distrib. Theory, 5, (2010), 95–109.
-
S. Akiyama, G. Barat, V. Berthe,
A. Siegel, Boundary of
central tiles associated with Pisot beta-numeration and
purely periodic expansions, Monatsh. Math, 155 (2008), 377-419.
- S. Akiyama, H. Brunotte, A. Petho, and
J. M. Thuswaldner. Generalized
radix representations and dynamical systems III. Osaka J. Math.,
45(2), (2008), 347–374.
- S. Akiyama, H. Brunotte, A. Petho, and
J. M. Thuswaldner. Generalized
radix representations and dynamical systems IV. Indag. Math. (N.S.),
19(3), (2008), 333–348.
- S. Akiyama, G. Dorfer, J. M. Thuswaldner, and
R. Winkler. On
the fundamental group of the Sierpinski Gasket. Topology Appl.,
156(9), (2009), 1655–1672.
- S. Akiyama, J. Luo, R. Okazaki, W. Steiner, and
J. Thuswaldner. Similar
dissection of sets. Geom. Dedicata, 150, (2011), 233–247.
- M. Archibald, V. Brattka and C. Heuberger, Randomness
with respect to the Signed-Digit Representation,
Fund. Inform. 83 (2008), 1–19.
-
D. Armstrong and C. Krattenthaler, Euler characteristic of the truncated order complex of generalized noncrossing partitions,
Electronic J. Combin. 16(1) (2009), Article #R143, 10 pp.
- A. Aue, I. Berkes, and L. Horváth. A note on the
existence of solutions of stochastic recurrence equations. Acta Sci.
Szeged, 73, (2007), 767–779.
- A. Aue, I. Berkes, and L. Horváth. Selection from
a stable box. Bernoulli, 14, (2008), 125–139.
- A. Aue, I. Berkes, and L. Horváth. Strong
approximation for the sums of squares of augmented GARCH sequences.
Bernoulli, 12, (2006), 583–608.
- R. Avanzi and C. Heuberger, Faster and Lower Memory Scalar
Multiplication on Supersingular Curves in Characteristic Three,
in: Public Key Cryptography — PKC 2011. 14th International
Conference on Practice and Theory in Public Key Cryptography,
Taormina, Italy, March 6–9, 2011. Proceedings. Lecture Notes in
Comput. Sci. 6571 (2011), 109–127.
- R. Avanzi, C. Heuberger and H. Prodinger, On
Redundant τ-adic Expansions and Non-Adjacent Digit
Sets, Selected Areas in Cryptography: 13th International
Workshop, SAC 2006, Montreal, Canada, August 2006, Revised Selected
Papers (E. Biham and A. M. Youssef, eds), Lecture Notes in
Comput. Sci. 4356 (2007), 285–301.
- R. Avanzi, C. Heuberger and H. Prodinger, Arithmetic
of Supersingular Koblitz Curves in Characteristic Three,
Tech. Rep. 2010-8, Graz University of Technology (2010).
- R. Avanzi, C. Heuberger and H. Prodinger, Redundant
τ-adic Expansions I: Non-Adjacent Digit Sets and their
Applications to Scalar Multiplication, Des. Codes Cryptogr. 58
(2011), 173–202, DOI
10.1007/s10623-010-9396-6.
-
R. Bacher and C. Krattenthaler, Chromatic statistics for Catalan and
Fuß-Catalan numbers,
Electronic J. Combin. 18(1) (2011) Article P152, 16 pp.
-
M. Balazard and B. Martin,
Comportement
local moyen de la fonction de Brjuno
(2011).
Submitted.
-
J. Baldeaux, J. Dick and F. Pillichshammer
A characterization of higher order nets using Weyl sums and its applications
,
Unif. Distrib. Theory 5: 133--155, 2009.
-
J. Baldeaux, J. Dick and F. Pillichshammer
Duality theory and propagation rules for higher order nets
,
Discrete Math. 311: 362--386, 2011.
-
J. Baldeaux, J. Dick, J. Greslehner and F. Pillichshammer
Construction algorithms for higher order polynomial lattice rules
,
J. Complexity 27: 281--299, 2011.
-
J. Baldeaux, J. Dick, G. Leobacher, D. Nuyens and F. Pillichshammer
Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules
,
Numer. Algorithms (to appear), 2011.
-
C. Banderier and B. Gittenberger.
Analytic combinatorics of lattice paths:
enumeration and asymptotics for the average area.
In Proceedings of the 4th Colloquium of Mathematics and Computer
Science, Discrete Math. Theor. Comput. Sci. Proc., AG, pages 345-355.
Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2006.
[pdf].
-
C. Banderier, M. Kuba and A. Panholzer,
Analysis of three graph parameters for random trees
,
Random Structures & Algorithms, 35, 42-69, 2009.
- G. Barat and P. J. Grabner, Limit
distribution of q-additive functions from an ergodic point of view .
Ann. Univ. Sci. Budapest. Sect. Comput., 28,
(2008), 55-78.
-
G. Barat, V. Berth'e, P.Liardet, and J. Thuswaldner,
Dynamical directions in numeration,
Ann. Inst. Fourier (Grenoble), 56 (2006), pp. 1987-2092.
- F. Barroero, C. Frei, and R. Tichy. Additive
unit representations in global fields - A survey. Submitted.
-
J. Bastian and T. Prellberg and M. Rubey and C. Stump,
Counting the number of elements in the mutation classes of quivers of
type A,
Electron. J. Combin. 18(1) (2011), Article P98, 23 pp.
-
T. Beck, H. Brunotte, K. Scheicher and J. Thuswaldner,
Number systems and tilings over Laurent series, Mathematical Proceedings of the Cambridge Philosophical Society, to appear.
-
Mathias Beiglböck,
Strong characterizing sequences of countable groups
,
J. Number Theory 127 (2007), no. 2, 145-152
-
Mathias Beiglböck,
A varaiant of the Hales-Jewett theorem
,
Bull. Lond. Math. Soc. 40 (2008), no. 2, 210-216.
-
Mathias Beiglböck,
Arithmetic progressions in abundance by combinatorial tools
,
submitted.
-
Mathias Beiglböck, Vitaly Bergelson, Tomasz Downarowicz, Alexander Fish,
Solvability of Rado Systems in D-sets
,
to appear in J. Topology Appl.
-
Mathias Beiglböck, Vitaly Bergelson, Alexander Fish,
Sumset phenomenon for countable amenable groups,
preprint.
-
Mathias Beiglböck, Vitaly Bergelson, Neil Hindman, Dona Strauss,
Some new results in multiplicative and additive Ramsey theory
,
Trans. Amer. Math. Soc. 360 (2008), no. 2, 819-847.
-
M. Beiglböck, M. Goldstern, L. Heindorf and M. Pinsker
Clones from Ideals
,
Internat. J. Algebra Comput. 19, 397-421, 2009.
-
M. Beiglböck, M. Goldstern, G. Maresch and W. Schachermayer
Optimal and Better Transport
,
J. Funct. Anal. 256, 1907-1927, 2009.
-
Mathias Beiglböck, Walter Schachermayer
Duality for Borel measurable cost functions
,
submitted.
- T. Beck, H. Brunotte, K. Scheicher, and
J. M. Thuswaldner. Number
systems and tilings over Laurent series. Math. Proc. Cambridge Philos.
Soc., 147(1), (2009), 9–29.
- I. Berkes and H. Dehling. The
mathematical work of Walter Philipp. In I. Berkes,
R. Bradley, H. Dehling, M. Peligrad, and R. Tichy, eds.,
Dependence in probability, analysis and number theory. Kendrick Press (2010),
pp. 1–19.
- I. Berkes, R. Gabrys, L. Horváth, and P. Kokoszka. Detecting for
changes in the mean of functional observations. J. Royal Stat. Soc.,
Ser B., 71, (2009), 927–946.
- I. Berkes, R. Gabrys, L. Horváth, and P. Kokoszka. Estimation in
nonstationary random coefficient autoregressive models. J. Time Series
Anal., 30, (2009), 395–416.
- I. Berkes, S. Hörmann, and L. Horváth. The functional
central limit theorem for a family of GARCH observations with
applications. Stat. Probab. Letters, 78, (2008), 2725–2730.
- I. Berkes, S. Hörmann, and J. Schauer. Asymptotic
results for the empirical process of stationary sequences. Stochastic
Process. Appl., 119, (2009), 1298–1324.
- I. Berkes, S. Hörmann, and J. Schauer. Split
invariance principles for stationary processes. Annals of Probability.
To appear.
- I. Berkes, S. Hörmann, and M. Weber. Upper-lower
class tests for weighted i.i.d. sequences and martingales. J.
Theor. Prob., 23, (2010), 428–446.
- I. Berkes and L. Horváth. Convergence of
integral functionals of stochastic processes, Econometric Theory 22
(2006), 304–322.
- I. Berkes, L. Horváth, and S. Hörmann. On functional
versions of the arc sine law. J. Theor. Probab., 23, (2010), 109–126.
- I. Berkes, L. Horváth, P. Kokoszka, and Q. Shao. On
discriminating between long-range dependence and changes in mean,
Annals of Statistics 34 (2006), 1140–1165.
- I. Berkes, L. Horváth, S. Ling, and J. Schauer. Testing for
structural change of AR model to threshold AR models. J. Time Ser.
Analysis, 32, (2011), 547–565.
- I. Berkes, L. Horváth, and J. Schauer. Asymptotic
behavior of trimmed sums. Proc. Amer. Math. Soc. To appear.
- I. Berkes, L. Horváth, and J. Schauer. Asymptotics of
trimmed CUSUM statistics. Bernoulli. To appear.
- I. Berkes, L. Horváth, and J. Schauer. Noncentral
limit theorems for random selections. Prob. Theory Rel. Fields,
147, (2010), 449–479.
- I. Berkes, L. Horváth, and J. Schauer. Permutation and
bootstrap statistics under infinite variance. In Dependence in
Probability and Statistics, vol. 200 of Lecture Notes in Statistics. Springer
(2010), pp. 1–20.
- I. Berkes, W. Müller, and M. Weber. On the strong
law of large numbers and additive functions. Periodica Math. Hung.,
62, (2011), 1–12.
- I. Berkes, W. Philipp, and R. Tichy. Empirical
processes in probabilistic number theory: the LIL for the discrepancy of (nk?)
mod 1, Illinois J. Math. 50 (2006), 107–145.
- I. Berkes, W. Philipp, and R. Tichy. Entropy
conditions for subsequences of random variables with applications to empirical
processes. Monatshefte Math., 153, (2008), 183–204.
- I. Berkes, W. Philipp, and R. Tichy. Metric
discrepancy results for sequences {nkx} and diophantine equations, In
R. F. Tichy, H. P. Schlickewei, and K. Schmidt, eds.,
Diophantine Approximation: Festschrift for Wolfgang Schmidt, Springer (2008),
pp. 95–105.
- I. Berkes, W. Philipp, and R. Tichy. Pseudorandom
numbers and entropy conditions. J. of Complexity, 23, (2007), 516–527.
- I. Berkes and M. Weber. Almost sure
versions of the Darling-Erdos theorem, Stat. Probab. Letters 76
(2006), 280–290.
- I. Berkes and M. Weber. Moment
convergence and the law of the iterated logarithm for additive
functions. Acta Arithmetica, 123, (2006), 43–55.
- I. Berkes and M. Weber. On complete
convergence of triangular arrays of independent random variables.
Stat. Probab. Letters, 77, (2007), 952–963.
- I. Berkes and M. Weber. On the
convergence of ? ckf(nkx). Memoirs of the AMS, 943, (2009), 1–72.
- I. Berkes and M. Weber. On the law of
the iterated logarithm for arithmetic functions. Proc. Amer. Math.
Soc., 135, (2007), 1223–1232.
- J. Bernat, B. Loridant, and J. Thuswaldner. Interior
components of a tile associated to a quadratic canonical number system—Part
II. Fractals, 18(3), (2010), 385–397.
- V. Berthé, A. Siegel, W. Steiner, P. Surer, and
J. M. Thuswaldner. Fractal tiles associated with shift
radix systems. Adv. Math., 226(1), (2011), 139–175.
- V. Berthé, A. Siegel, and J. M. Thuswaldner.
Substitutions, Rauzy
fractals, and tilings. In Combinatorics, Automata, and Number Theory
(V. Berthé and M. Rigo, eds.), vol. 135 of Encyclopedia of Mathematics and its
Applications. Cambridge University Press, Cambridge (2010), pp. 248–323.
-
O. Bodini, D. Gardy, and B. Gittenberger.
Lambda terms of bounded unary height.
In Proceedings of the Eighth Workshop on Analytic Algorithmics and
Combinatorics, pages 23-32, 2011.
-
I.M.Bomze, F. Frommelt and M. Rubey, Improving SDP bounds for minimizing quadratic functions over the l1-ball
, Optim. Lett. 1 (2007), no. 1, 49–59.
- N. Brandstätter, G. Pirsic and A. Winterhof,
Correlation of the two-prime Sidel'nikov sequence , Des. Codes Cryptography 59,
No. 1-3, 59-68, 2011.
- C. Brennan, A. Knopfmacher and S. Wagner,
The
distribution of ascents of size d or more in partitions of n,
Combinatorics, Probability and Computing 17/4 (2008), 495-509.
- H. Brunotte, P. Kirschenhofer, and J. Thuswaldner. Contractivity
of three dimensional shift radix systems with finiteness property. J. Differ. Equations Appl. To appear.
- H. Brunotte, P. Kirschenhofer, and J. Thuswaldner. Shift radix systems
for Gaussian integers and Petho's Loudspeaker. Publ. Math. Debrecen. To appear.
-
W. Bruns, C. Krattenthaler and J. Uliczka, Stanley
decompositions and Hilbert depth in the Koszul complex,
J. Commut. Algebra 2 (2010), 327-357.
-
W. Bruns, C. Krattenthaler and J. Uliczka, Hilbert depth of powers of the maximal ideal,
in: "Commutative Algebra and its Connections to Geometry (PASI 2009)," A. Corso, C. Polini (eds.), Contemporary Mathematics, Amer. Math. Soc. (to appear).
-
Y. Bugeaud, M. Drmota and B. de Mathan, On a mixed Littlewood conjecture in Diophantine approximation
[pdf], Acta Arith. 128, 107-124, 2007.
-
Y. Bugeaud, M. Drmota, and W. Szpankowski, On the Construction of (Explicit) Khodak's Code and Its Analysis
[pdf], IEEE Trans. Inf. Th. 54, 5073-5086, 2008.
-
P. J. Cameron, C. Krattenthaler and T. W. Müller, ,
Séminaire Lotharingien Combin. 61A (2011), Article 61Am, 38 pages.
-
P. J. Cameron, C. Krattenthaler and T. W. Müller, ,
Austral. J. Combin. 50 (2011), 205-215.
-
I. Chajda, G. Dorfer, G. Eigenthaler, R. Halas, J. Kühr and W.B. Müller (eds.)
Contributions to General Algebra 19, Proceedings of the Olomouc Workshop 2010
,
Verlag Johannes Heyn, Klagenfurt, 2010.
-
H. H. Chan and A. Kontogeorgis and C. Krattenthaler and R. Osburn, ,
Ann. Sci. Math. Québec 34 (2010), 25-36.
-
F. Chyzak, M. Drmota, T. Klausner, and G. Kok,
The Distribution of
Patterns in Random Trees
[pdf]
Comb. Prob. Computing 17, 21-59, 2008.
-
A. Conflitti and M. Schlosser, Noncommutative hypergeometric and basic hypergeometric equations
, J. Nonlinear Math. Phys. 17 (4) (2010), 429-443.
-
M. Ciucu and C. Krattenthaler, A factorization theorem for classical group characters, with applications to plane partitions and rhombus tilings, in: Advances in Combinatorial Mathematics: Proceedings of the Waterloo Workshop in Computer Algebra 2008, I. Kotsireas, E. Zima (eds.), Springer-Verlag, 2010, pp. 39-60.
-
M. Ciucu and C. Krattenthaler, The interaction of a gap with a free boundary in a two dimensional dimer system,
Commun. Math. Phys. 302 (2011), 253-289.
-
S. Corteel and M. Josuat-Vergès and T. Prellberg und M. Rubey,
Matrix ansatz, lattice paths and rook placements, Proceedings of the 21st Int. Conf. on "Formal Power Series and
Algebraic Combinatorics, C. Krattenthaler, V. Strehl, M. Kauers (eds.),
Discrete Math. Theoret. Computer Science (Proceedings), 2009, pp. 313-324.
-
L.L. Cristea, J. Dick and F. Pillichshammer, On the mean square weighted L_2 discrepancy of randomized digital nets in prime base,
J. Complexity, 22: 605-629, 2006.
-
L.L. Cristea, J. Dick, G. Leobacher, and F. Pillichshammer, The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets ,
Numer. Math., 105: 413-455, 2007.
-
L.L. Cristea and H. Prodinger, Order statistics for the Cantor-Fibonacci distribution,
Aequationes Math. 73 (2007), no. 1-2, 78-91.
-
L.L. Cristea and H. Prodinger, q-Enumeration of up-down words by number of rises,
submitted.
- L.L. Cristea and F. Pillichshammer,
A lower bound for the $b$-adic diaphony, Rend. Mat. Appl., 27: 147-153, 2007.
-
L.L. Cristea. Geometric and topological properties of net sets, Fractals, to appear.
- G. Derfel, P. J. Grabner, and F. Vogl, Asymptotics
of the Poincaré functions . In Probability and
Mathematical Physics: A Volume in Honor of Stanislav Molchanov (edited
by D. Dawson, V. Jaksic, and B. Vainberg), vol. 42 of
CRM Proceedings and Lecture Notes . Centre de
Recherches Mathématiques, Montreal, pp. 113-130.
- G. Derfel, P. J. Grabner, and F. Vogl, Complex
asymptotics of Poincaré functions and properties of Julia sets .
Math. Proc. Cambridge Philos. Soc., 145, (2008),
699-718.
- G. Derfel, P. J. Grabner, and F. Vogl, The Zeta
function of the Laplacian on certain fractals . Trans. Amer. Math.
Soc., 360, (2008), 881-897.
-
J. Dick and F. Pillichshammer, Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules,
J. Complexity, 23: 436-453, 2007.
-
J. Dick, F. Pillichshammer, and B. Waterhouse, The construction of good extensible rank-1 lattices,
Math. Comp., 77: 2345-2373, 2008.
-
J. Dick, F. Pillichshammer, and B. Waterhouse,
The construction of good extensible Korobov rules,
Computing, 79: 79-91, 2007.
-
J. Dick and F. Pillichshammer
Digital nets and sequences--Discrepancy theory and quasi-Monte Carlo integration
,
Cambridge University Press, Cambridge, 2010, xviii+600.
-
J. Dick, G. Larcher, F. Pillichshammer and H. Wozniakowski
Exponential convergence and tractability of multivariate integration for Korobov spaces
,
Math. Comp. 80: 905--930, 2011.
-
J. Dick, G. Leobarcher, and F. Pillichshammer, Randomized Smolyak algorithms based on digital sequences for multivariate integration.,
IMA J. Numer. Anal., 27: 655-674, 2007.
-
J. Dick, P. Kritzer, G. Leobacher and F. Pillichshammer, Constructions of general polynomial lattice rules based on the weighted star discrepancy,
Finite Fields Appl., 13: 1045-1070, 2007.
- J. Dick, P. Kritzer, F. Pillichshammer, W. Ch. Schmid, On the existence of higher order polynomial lattices with large figure of merit, J. Complexity, 23: 581-593, 2007.
- J. Dick, P. Kritzer, and F.Y. Kuo, Approximation of functions using digital nets, In: MCQMC 2006 (Heinrich S., Keller A., Niederreiter H., eds.), pp. 275-297, Springer, Berlin Heidelberg New York, 2007.
- J. Dick, P. Kritzer, F.Y. Kuo, and I.H. Sloan,
Lattice-Nystrom Method for Fredholm Integral Equations of the Second Kind, J. Complexity 23 (2007), no. 4-6, 752-772.
-
J. Dick and F. Pillichshammer, Periodic functions with bounded remainder,
Arch. Math., 87: 554-563, 2006.
-
B. Doerr, M. Gnewuch, P. Kritzer and F. Pillichshammer,
Component-by-component construction of low-discrepancy point sets of small size, Monte Carlo Methods Appl., 14: 129-150, 2008.
-
G. Dorfer, D. Dorninger, H. Länger
On algebras of multidimensional probabilities
,
Mathematica Slovaca 50, 571-582, 2010.
-
G. Dorfer, D. Dorninger, H. Länger
On the structure of numerical event spaces
,
Kybernetika 46, 971-981, 2010.
-
G. Dorfer, G. Eigenthaler, M. Goldstern, W.B. Müller and R. Winkler (eds.)
Contributions to General Algebra 17, Proceedings of the 70th Workshop on General Algebra (AAA 70) held at Vienna University of Technology, Vienna, May 26--29, 2005
,
Verlag Johannes Heyn, Klagenfurt, 2006.
-
G. Dorfer, G. Eigenthaler, H. Kautschitsch, W. More and W.B. Müller (eds.)
Contributions to General Algebra 18, Proceedings of the 73th Workshop on General Algebra (AAA 73) held at Alps-Adriatic University of Klagenfurt, Klagenfurt, February 1--4, 2007
,
Verlag Johannes Heyn, Klagenfurt, 2008.
-
G. Dorfer, J. Thuswaldner and R. Winkler
Fundamental groups of one-dimensional spaces
,
submitted.
-
M. Drmota
The height of increasing trees
,
Annals Combinatorics 12, 373-402, 2009.
-
M. Drmota, Concentration Properties of
Extremal Parameters in Random Discrete Structures , DMTCS, proc. AG, 1-30, 2006.
M. Drmota and B. Gittenberger, The Shape of Unlabeled Rooted Random
Trees
->
-
M. Drmota, S. Janson and R. Neininger,
A Functional Limit
Theorem for The Profile of Search Trees
Ann.
Appl. Prob. 18, 288-333, 2008.
-
M. Drmota, A. Iksanov, M. Moehle, and U. Roesler,
A limiting distribution for the number
of cuts needed to isolate the root of a random recursive tree
Random Struc. Algorithms, to appear.
-
M. Drmota, Y. Reznik, S. A. Savari, and W. Szpankowski,
Precise Asymptotic Analysis of the Tunstall Code
[pdf] ,
IEEE Intern. Symposium on Information Theory, 2334-2337, Seattle, 2006.
-
M. Drmota, A. Iksanov, M. Moehle, and U. Roesler,
Asymptotic Results About the Total Branch Length
of the Bolthausen-Sznitman Coalescent
Stoch. Proc. Appl. 117, 1404-1421, 2007.
-
M. Drmota and W. Szpankowski,
On the
exit time of a random walk with
positive drift , DMTCS proc AH, 2007, 291-302.
-
M. Drmota and W. Szpankowski,(Un)Expected Behavior of Digital Search Tree Profile, Proceedings of the Twentieth Annual ACM-SIAM Symposium
on Discrete Algorithms (Claire Mathieu ed.), 130-138, 2009.
- M. Drmota, Omer Gimenez and Marc Noy, Degree distribution in random planar graphs, Proceedings of "Mathematics and Computer Science 2008", DMTCS proc AI, 163-178, 2008.
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M. Drmota, B. Gittenberger and A. Panholzer, The
degree distribution of thickened trees, In Proceedings of the 5th Colloquium of Mathematics and Computer Science, Discrete Math. Theor. Comput. Sci. Proc., AG, pages 153-166. Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2008.
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M. Drmota, P. Grabner and P. Liardet, Block additive functions on the
Gaussian integers, Acta Arith.
135, 299-332, 2008.
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M. Drmota, J. Rivat and T. Stoll, The sum of digits of primes
in Z[i], Monatsh. Math. 155, 317-347, 2008.
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M. Drmota and T. Stoll, Newman's phenomenon for generalized Thue-Morse sequences
[pdf], Discrete Math. 308, 1191-1208, 2008.
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M. Drmota, B. Gittenberger, A. Panholzer, H. Prodinger,
and M.D. Ward, On the Shape of the Fringe of Various
Types of Random Trees, Mathematical Methods in the Applied Sciences 32, 1207-1245, 2009.
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M. Drmota, C. Mauduit and J. Rivat, Primes with an Average Sum of Digits, Compositio Math. 145, 271-292, 2009.
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M. Drmota, B. Gittenberger, and R. Kutzelnigg, Combinatorial models for cooperations networks,
IWOCA 2009, LNCS 5874, Springer, Berlin, 2009,pp 206-217.
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M. Drmota, Embedded trees and the support of the ISE IWOCA 2009, LNCS 5874, Springer, Berlin, 2009,pp 194-205.
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M. Drmota,
Random Trees,
Springer, Wien-New York, 2009.
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M. Drmota and B. Gittenberger,
Chapter: Analytic Combinatorics on Random Graphs , in Analysis of Complex Networks, Matthias Dehmer and Frank Emmert-Streib eds, Wiley-Blackwell, 2009.
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M. Drmota and P. Grabner,
Chapter: Analysis of digital functions and applications , in Combinatorics, Automata and Number Theory, Valerie Berthe and Michel Rigo eds, Cambridge University Press, 2010.
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M. Drmota, O. Gimenez and M. Noy, Vertices of given degree in
series-paralles graphs, Random Structures Algorithms 36, 273-314, 2010.
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M. Drmota and C. Mauduit, Weyl sums over integers with digit restrictions, Journal of Number Theory 130, 2404-2427, 2010.
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M. Drmota and B. Gittenberger, The shape
of unlabeled rooted random trees, Europ. J. Combinat. 3, 2028-2063, 2010.
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M. Drmota, Y. Reznik, and W. Szpankowski, Tunstall Code, Khodak Variations, and Random Walks, IEEE Trans. Inf. Th. 56 (June 2010), 2928-2937.
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M. Drmota, Omer Gimenez and Marc Noy,
Degree distribution in random planar graphs, JCTA 118, 2102-2130, 2011.
-
M. Drmota and W. Szpankowski,
Analsis of block arithmetic coding: discrete divide and conquer recurrences,
Proceedings of 2011 International Symposium on Information Theory, Saint Petersburg, 2011.
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M. Drmota, C. Mauduit, and J. Rivat, The Sum of Digits Function
of Polynomial Sequences,
J. London Math. Soc., 2011.
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M. Drmota and W. Szpankowski,
A General Discrete Divide and Conquer Recurrence and Its Applications, Proceedings SODA 2011.
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M. Drmota, O. Gimenez, M. Noy, K. Panagiotou, and A. Steger.
The Maximum Degree of Random Planar Graphs, Proceedings SODA 2012, submitted.
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M. Drmota and W. Szpankowski,
A Master Theorem for Discrete Divide and Conquer
Recurrences , submitted.
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M. Drmota and M. Noy,
Universal exponents and tail estimates in the
enumeration of planar maps, submitted.
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M. Drmota and M. Infusino, On the discrepancy of some
generalized Kakutani's sequences of partitions, submitted.
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M. Drmota, O. Gimenez, M. Noy,
The maximum degree of series-parallel graphs, CPC, to appear.
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M. Drmota, E. Fusy, M. Kang, V. Kraus, J. Rue,
Asymptotic study of subcritical graph classes, SIAM J. Dicrete Math., to appear.
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M. Drmota and R. Nedela,
Asymptotic Enumeration of Maps Regardless of Genus, Ars Mathematica Contemporanea, submitted.
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M. Drmota and J. Morgenbesser Generalized Thue-Morse Sequences of Squares, Israel J., to appear.
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M. Drmota and W. Szpankowski, The Expected Behavior of Digital Search
Tree Profile, JCTA, to appear.
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M. Drmota, Embedded trees and the
support of the ISE Europ. J. Combinat, to appear.
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M. Drmota and R. Kutzelnigg, A precise analysis of Cuckoo hashing,
ACM Trans. Algorithms, to appear.
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of the D(-1)-quadruple conjecture. Acta Arith., 128, (2007), 319–338.
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compact trees, and sums of unit fractions, submitted.
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H. Faure and F. Pillichshammer
L_p discrepancy of generalized Hammersley point sets
,
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H. Faure and F. Pillichshammer
L_2 discrepancy of two-dimensional digitally shifted
Hammersley point sets in base b
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H. Faure, F. Pillichshammer, G. Pirsic and W.Ch. Schmid
L_2 discrepancy of generalized two-dimensional Hammersley point sets scrambled with arbitrary permutations
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discrepancy of linearly digit scrambled Zaremba point sets , Uniform Distribution Theory, To appear.
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L_2 discrepancy of generalized {Z}aremba point sets
,
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T. Feierl, The height and range of watermelons without wall , Proceedings of the IWOCA 2009,
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Q. Feng, H. Mahmoud and A. Panholzer, Phase changes in subtree varieties in random recursive and binary search trees,
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Q.-Q. Feng, H. Mahmoud and A. Panholzer,
Limit laws for the Randic' index of random binary tree models
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On a constant arising in the analysis of
bit comparisons in quickselect
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Secant and cosecant sums and Bernoulli-N"orlund
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Greslehner J.,
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J. Greslehner and F. Pillichshammer
Discrepancy of higher rank polynomial lattice point sets
,
submitted, 2011.
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G. Greschonig
Real extensions of distal minimal flows and continuous topological ergodic decompositions
,
submitted.
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G. Greschonig
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Discrete Contin. Dynam. Syst. A, to appear.
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Curious extensions of Ramanujan's _1 psi_1 summation formula, J. Math. Anal. Appl. 334 (1) (2007), 393-403.
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V. J. W. Guo , M. Rubey and J. Zeng Combinatorial Interpretations of the q-Faulhaber and q-Salie Coefficients
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U. Haböck and V. Kulagin
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G. Hanrot, B. Martin, and G. Tenenbaum
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G. Hetyei and C. Krattenthaler, The poset of bipartitions, Europ. J. Combin. 32 (2011), 1253-1281.
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- C. Heuberger, Redundant τ-adic Expansions II:
Non-Optimality and Chaotic Behaviour, Math. Comput. Sci. 3
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- C. Heuberger and D. Krenn, Analysis of
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- C. Heuberger and J. A. Muir, Minimal
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- C. Heuberger, A. Pethö and R. F. Tichy, Thomas'
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- C. Heuberger and H. Prodinger, On
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- C. Heuberger and H. Prodinger, The
Hamming Weight of the Non-Adjacent-Form under Various Input
Statistics, Period. Math. Hungar 55 (2007), 81–96.
- C. Heuberger and H. Prodinger, Analysis of Complements in
Multi-Exponentiation Algorithms Using Signed Digit
Representations, Internat. J. Found. Comput. Sci. 20 (2009),
443–453, DOI
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- C. Heuberger and H. Prodinger, A precise description of the
p-adic valuation of the number of alternating sign matrices,
Int. J. Number Theory 7 (2011), 57–69, DOI
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- C. Heuberger, H. Prodinger and S. G. Wagner, Positional Number
Systems with Digits Forming an Arithmetic Progression,
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- C. Heuberger and S. G. Wagner, Maximizing the number of
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- C. Heuberger and S. G. Wagner, Chemical trees minimizing energy
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- C. Heuberger and S. G. Wagner, On a Class
of Extremal Trees for Various Indices, MATCH
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- C. Heuberger and S. G. Wagner, Asymptotics
of the extremal values of certain graph parameters in trees with
bounded degree, Publ. Math. Debrecen. 77 (2010),
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- C. Heuberger and S. G. Wagner, The Number of Maximum Matchings
in a Tree, Discrete Math. 311 (2011), 2512–2542DOI:
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F.J. Hickernell, P. Kritzer, F.Y. Kuo, and D. Nuyens,
Weighted compound integration rules with higher order convergence for all N,
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A. Hinrichs, F. Pillichshammer, and W. Ch. Schmid, Tractability properties of the weighted star discrepancy,, J. Complexity, 24: 134-143, 2008.
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R. Hofer, G. Larcher and F. Pillichshammer,
Average growth-behavior and distribution properties of generalized weighted digit-block-counting functions, Monatsh. Math., 154: 199-230, 2008.
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R. Hofer, P. Kritzer, G. Larcher and F. Pillichshammer
Distribution properties of generalized van der Corput-Halton sequences and their subsequences
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R. Hofer, F. Pillichshammer and G. Pirsic
Distribution properties of sequences generated by Q-additive functions with respect to Cantor representation of integers
,
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- R. Hofer and G. Pirsic, An explicit
construction of finite-row digital (0,s)-sequences Uniform Distribution Theory 6,
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A. Hofinger and F. Pillichshammer
Learning a function from noisy samples at a finite sparse set of points
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A. Huszti, K. Scheicher, P. Surer, and J.M. Thuswaldner,
Three-Dimensional Symmetric Shift Radix Systems, Acta Arithmetica, 129 (2007) 147-166.
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H.-K. Hwang, M. Kuba and A. Panholzer, Analysis of some exactly solvable diminishing urn models ,
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C. Krattenthaler, Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes,
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The F-triangle of the generalised cluster complex,
in: "Topics in Discrete Mathematics," dedicated to Jarik Nesetril on the occasion of his 60th birthday, M. Klazar, J. Kratochvil, M. Loebl, J. Matousek, R. Thomas and P. Valtr, eds., Springer-Verlag, Berlin, New York, 2006, pp. 93-126.
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The M-triangle of generalised non-crossing partitions for the types E7 and E8,
Séminaire Lotharingien Combin. 54 (2006), Article B54l, 34 pages.
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C. Krattenthaler and T. Rivoal, Multivariate p-adic formal congruences and integrality of Taylor coefficients of mirror maps , in: "Théories galoisiennes et arithmétiques des équations différentielles," L. Di Vizio and T. Rivoal (eds.), Seminaires et Congres, Soc. Math. France, Paris, (to appear).
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-
P. Kritzer and F. Pillichshammer,
An exact formula for the L_2 discrepancy of the shifted Hammersley point set, Uniform Distribution Theory, 1: 1-13, 2006.
-
P. Kritzer and F. Pillichshammer,
The weighted dyadic diaphony of digital sequences, In: MCQMC 2006 (Heinrich S., Keller A., Niederreiter H., eds.), pp. 549-560, Springer, Berlin Heidelberg New York, 2007.
-
P. Kritzer and F. Pillichshammer,
Constructions of general polynomial lattices for multivariate integration, Bull. Austral. Math. Soc., 76: 93-110, 2007.
-
P. Kritzer and F. Pillichshammer
On the component by component construction of polynomial lattice point sets for numerical integration in weighted Sobolev spaces
,
Unif. Distrib. Theory 6: 79--100, 2011.
-
P. Kritzer and F. Pillichshammer
A lower bound on a quantity related to the quality of polynomial lattices
,
Funct. Approx. Comment. Math. (to appear), 2011.
-
P. Kritzer and F. Pillichshammer
Low discrepancy polynomial lattice point sets
,
submitted, 2011.
-
P. Kritzer,
A note on the extreme discrepancy of the Hammersley net in base 2,
,
Uniform Distribution Theory, 6 (1), 9-19, 2011.
-
M. Kuba and A. Panholzer, Descendants in increasing trees,
Electronic Journal of Combinatorics/, 13(1): R8, 2006. (14 pages)
-
M. Kuba and A. Panholzer,
On the area under lattice paths associated with triangular diminishing urn models
,
Advances in Applied Mathematics, 44, 329-358, 2010.
-
M. Kuba and A. Panholzer, Enumeration results for alternating tree families ,
submitted, 2008.
-
M. Kuba, A. Panholzer and H. Prodinger,
Lattice paths, sampling without replacement, and limiting distributions
,
Electronic Journal of Combinatorics, 16(1), paper R67, 2009.
-
M. Kuba and A. Panholzer,
A combinatorial approach for analyzing the number of descendants in increasing trees and related parameters
,
Quaestiones Mathematicae, 32, 91-114, 2009.
-
M. Kuba and A. Panholzer, Limiting distributions for a class of diminishing urn models,
submitted, 2007.
-
M. Kuba and A. Panholzer,
A combinatorial approach to the analysis of bucket recursive trees and variants
,
Theoretical Computer Science, 411, 3255-3273, 2010.
-
M. Kuba and A. Panholzer,
On the distribution of distances between specified nodes in increasing trees
,
Discrete Applied Mathematics, 158, 489-506, 2010.
-
M. Kuba and A. Panholzer,
Enumerating alternating tree families
,
Discrete Mathematics and Theoretical Computer Science,
in: "Proceedings of the 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)", Proceedings AJ, 105-116, 2008.
-
M. Kuba and A. Panholzer,
Isolating nodes in recursive trees
,
Aequationes Mathematicae, 76, 258-280, 2008.
-
M. Kuba and A. Panholzer,
Isolating a leaf in rooted trees via random cuttings
,
Annals of Combinatorics, 12, 81-99, 2008.
-
M. Kuba and A. Panholzer, On edge-weighted recursive trees and inversions in random permutations,
Discrete Mathematics, 308:529-540, 2008.
-
M. Kuba and A. Panholzer, On weighted path lengths and distances in increasing trees,
Probability in the Engineering and Informational Sciences, 21:419-433, 2007.
-
M. Kuba and A. Panholzer, On the degree distribution of the nodes in increasing trees,
Journal of Combinatorial Theory, Series A, 114:597-618, 2007.
-
M. Kuba and A. Panholzer, The left-right-imbalance of binary search trees,
Theoretical Computer Science, 370:265-278, 2007.
-
M. Kuba and A. Panholzer, Descendants in increasing trees,
Electronic Journal of Combinatorics, 13(1):\#8, 2006.
-
M. Kuba and A. Panholzer, Analysis of the total costs for variants of the Union-Find algorithm,
Discrete Mathematics and Theoretical Computer Science,
in: "2007 International Conference on the Analysis of Algorithms", Proceedings AH, 259-268, 2007.
-
M. Kuba and A. Panholzer, Limit laws for a class of diminishing urn models,
Discrete Mathematics and Theoretical Computer Science,
in: "2007 International Conference on the Analysis of Algorithms", Proceedings AH, 341-352, 2007.
-
M. Kuba and A. Panholzer, Analysis of insertion costs in priority trees,
in: "Proceedings of the Ninth ALENEX workshop and the Fourth ANALCO workshop", 175-182, SIAM, Philadelphia, 2007.
-
M. Kuba and A. Panholzer, Analysis of label-based parameters in increasing trees,
Discrete Mathematics and Theoretical Computer Science,
in: "Proceedings of the Fourth Colloquium on Mathematics and Computer Science", Proceedings AG, 321-330, 2006.
-
M. Kuba and A. Panholzer,
Enumeration results for alternating tree families
,
European Journal of Combinatorics, 31, 1751-1780, 2010.
-
M. Kuba and A. Panholzer,
Analysis of statistics for generalized Stirling permutations
,
accepted for publication in Combinatorics, Probability and Computing.
-
M. Kuba and A. Panholzer,
Bilabelled increasing trees and hook-length formulas
,
accepted for publication in European Journal of Combinatorics.
-
M. Kuba and A. Panholzer,
A unifying approach for proving hook-length formulas for weighted trees
,
submitted.
-
M. Kuba and A. Panholzer,
Enumeration formulae for pattern restricted Stirling permutations
,
submitted.
-
M. Kuba and A. Panholzer,
Limiting distributions for a class of diminishing urn models
,
submitted.
-
M. Kuba, H. Mahmoud and A. Panholzer,
Analysis of a generalized Friedman's urn with multiple drawings
,
submitted.
-
M. Kuba and S. Wagner,
Perfect matchings and k-decomposability of increasing trees
,
Séminaire Lotharingien de Combinatoire, vol. 57, Art. B57a, 2008.
-
M. Kuba and H. Prodinger and C. Schneider, Generalized reciprocity laws for sums of harmonic numbers,
INTEGERS - Electronic journal of Combinatorial number theory, 8, A17, 2008.
-
M. Kuba and H. Prodinger,
On a reciprocity law for finite multiple zeta values
,
International Journal of Combinatorics, Article ID 153621, 13 pages, 2010.
-
M. Kuba and H. Prodinger,
A note on Stirling series
,
Integers - Electronic journal of Combinatorial number theory, 10, article A34, 393-406, 2010.
-
M. Kuba, On evaluations of infinite double sums and Tornheim's double series,
Seminaire Lotharingien de Combinatoire, vol. 58, 2008.
-
M. Kuba,
A note on naturally embedded ternary trees
,
Electronic Journal of Combinatorics, Volume 18 (1), paper P142, 2011.
-
M. Kuba and A. Varvak,
On Path diagrams and Stirling permutations
,
submitted.
-
M. Kuba and S. Wagner,
Deterministic edge-weights in increasing tree families
,
Combinatorics, Probability and Computing, 19, 99-119, 2010.
- M. Kuba and S. Wagner, Perfect
matchings and k-decomposability of increasing trees, Séminaire Lotharingien de Combinatoire.
-
M. Kuba,
On functions of Arakawa and Kaneko and Multiple zeta functions
,
Applicable Analysis and Discrete Mathematics, 4, 45-53, 2010.
-
M. Kuba,
Analysis of a class of Cannibal urns
,
accepted for publication in Electronic Notes in Probability.
-
M. Kuba,
On embedded trees and lattice paths
,
accepted for publication in Fundamenta Informaticae.
-
M. Kuba,
On Sampling without replacement and OK-Corral urn models
,
submitted.
-
M.-R. Chen and M. Kuba,
On generalized Polya urn models
,
submitted.
-
R. Kutzelnigg, Bipartie Random Graphs and Cuckoo Hashing ,
Proceedings of the Fourth Colloquium on Mathematics and Computer Science, 403-406, 2006.
-
R. Kutzelnigg, An Improved Version of Cuckoo Hashing: Average Case Analysis of Construction Cost and Search Operations,
Proceedings of the 19th IWOCA, 253-266, 2008.
-
R. Kutzelnigg, Random Biparite Graphs and their Application to Cuckoo Hashing ,
Ph. D. Thesis, Vienna University of Technology, 2008.
-
C. Lampl, P. Kirschenhofer and J. Thuswaldner, On a parameterized family of relative Thue equations, Publ. Math. Debrecen, to appear.
-
R. Langer, M. Schlosser and S. O. Warnaar, Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture ,
SIGMA 5 (2009), 055, 20 pp.
-
L. Lapointe and Y. Le Borgne and P. Nadeau, A normalization formula for the Jack polynomials in superspace and an identity on partitions ,
Electron. J. Combin. 16(1) (2008), Art. R70.
-
G. Larcher and F. Pillichshammer,
A note on optimal point distributions in [0,1)^s, J. Comput. Appl. Math., 206: 977-985, 2007.
-
M. Lassalle and M. Schlosser, Inversion of the Pieri formula for Macdonald polynomials, Adv. Math. 202 (2) (2006), 289-325.
-
M. Lassalle and M. Schlosser, Recurrence formulas for Macdonald polynomials of type A,
J. Algebraic Combin. 32 (1) (2010), 113-131.
-
D. Lind, K. Schmidt and E. Verbitskiy
Entropy and growth rate of periodic points of algebraic $\mathbb{Z}^d$-actions
Dynamical Numbers: Interplay between Dynamical Systems and Number Theory , Eds. S. Kolyada, Yu. Manin, M. Moeller, P. Moree and T. Ward, Contemp. Math., American Mathematical Society, Providence, R.I., 2010, pp. 195--211
-
D. Lind, K. Schmidt and E. Verbitskiy
Homoclinic points, atoral polynomials, and periodic points of alebraic $\mathbf{Z}^d$-actions
Preprint, 2011
- B. Loridant. Fundamental group of tiles associated to quadratic
canonical number systems. Math. Slovaca, 58(2), (2008), 241–251.
- B. Loridant and J. Luo. On a theorem of Bandt and Wang and
its extension to p2-tiles. Discrete Comput. Geom., 41(4), (2009), 616–642.
- B. Loridant. Fundamental
group of tiles associated to quadratic canonical number systems. Math. Slovaca, 58(2), (2008), 241–251.
- B. Loridant and J. Luo. On
a theorem of Bandt and Wang and its extension to p2-tiles. Discrete Comput. Geom., 41(4), (2009), 616–642.
- B. Loridant, J. Luo, and J. Thuswaldner. A
new criterion for disk-like crystallographic reptiles. 31(2), (2007),
593–610.
- B. Loridant, J. Luo, and J. Thuswaldner. Topology
of crystallographic tiles. Geom. Dedicata, 128, (2007), 113–144.
- B. Loridant and J. Thuswaldner. Interior
components of a tile associated to a quadratic canonical number
system. Topology Appl., 155(7), (2008), 667–695.
- M. G. Madritsch. Additive
functions on pseudo-polynomial sequences. Journal de Théorie des
Nombres de Bordeaux. To appear.
- M. G. Madritsch. A note on
normal numbers in matrix number systems. Math. Pannon., 18(2), (2007),
219–227.
- M. G. Madritsch. Asymptotic
normality of b-additive functions on polynomial sequences in number
systems. The Ramanujan Journal, 21, (2010), 181–210.
- M. G. Madritsch. Generating
normal numbers over Gaussian integers. Acta Arith., 135(1), (2008),
63–90.
- M. G. Madritsch. Waring's
Problem with digital restrictions in Fq[X]. Mathematica Slovaca, 60,
(2010), 801– 810.
- M. G. Madritsch and A. Petho. Asymptotic
normality of additive functions on polynomial sequences in canonical number
systems. Journal of Number Theory. To appear.
- M. G. Madritsch and J. M. Thuswaldner. Weyl
sums in Fq[x] with digital restrictions. Finite Fields Appl., 14(4),
(2008), 877–896.
- M. G. Madritsch and J. M. Thuswaldner. Additive
functions for number systems in function fields. Finite Fields Appl.,
16(3), (2010), 204–229.
- M. G. Madritsch, J. M. Thuswaldner, and R. F. Tichy.
Normality
of numbers generated by the values of entire functions. J. Number
Theory, 128(5), (2008), 1127–1145.
- M. G. Madritsch and S. G. Wagner. A
central limit theorem for integer partitions. Monatshefte Math., 161,
(2010), 85–114.
-
G. Maresch and R. Winkler
Compactifications, Hartman functions and (weak) almost periodicity
,
Dissertationes Math. 461, 1-72, 2009.
-
B. Martin, C. Mauduit, and J. Rivat,
Sur
les Chiffres des Nombres Premiers
(2011).
Submitted.
-
C. Martinez, A. Panholzer and H. Prodinger,
The analysis of Range Quickselect and related problems
,
accepted for publication in Theoretical Computer Science.
-
J. Morgenbesser,
The sum of digits of squares in Z[i],
Journal of Number Theory 130, 1433-1469, 2010.
-
J. Morgenbesser,
Square root singularities of infinite systems of functional equations,
DMTCS Proceedings of the AofA 2010, 513-526 2010.
-
J. Morgenbesser, Thomas Stoll, and Jeffrey Shallit
Thue-Morse at Multiples of an Integer,
Journal of Number Theory 131, 1498-1512, 2011.
-
J. Morgenbesser,
The sum of digits of [n^c],
Acta Arithmetica 148, 367-393, 2011.
-
J. Morgenbesser,
The sum of digits of Gaussian primes,
The Ramanujan Journal, to appear.
-
C. Martinez, A. Panholzer and H. Prodinger,
Generating random derangements
,
in: "Proceedings of the Tenth ALENEX workshop and the Fifth ANALCO workshop", 234--240, SIAM, Philadelphia, 2008.
-
H. Niederreiter and F. Pillichshammer
A construction algorithm for good extensible rank-1 lattice rules
,
Contr. Approx. 30: 361--393, 2009.
-
A. Panholzer and H. Prodinger,
Bijections between certain families of labelled and unlabelled d-ary trees
,
Applicable Analysis and Discrete Mathematics, 3, 123-136, 2009.
-
A. Panholzer,
Left and right length of paths in binary trees or on a question of Knuth
,
Annals of Combinatorics, 12, 479-492, 2009.
-
A. Panholzer and H. Prodinger,
A short proof of a series evaluation in terms of harmonic numbers
,
Integers: Electronic Journal of Combinatorial Number Theory, 9, 491-496 (Paper A38), 2009.
-
A. Panholzer,
Analysis of some parameters for random nodes in priority trees
,
Discrete Mathematics and Theoretical Computer Science, 10(2), 1-38, 2008.
-
A. Panholzer, A distributional study of the path-edge covering numbers for random trees,
Discrete Applied Mathematics, 156:1036-1052, 2008.
-
A. Panholzer and H. Prodinger, The level of nodes in increasing trees revisited,
Random Structures & Algorithms, 31:203-226, 2007.
-
A. Panholzer, Cutting down very simple trees,
Quaestiones Mathematicae, 29:211-227, 2006.
-
A. Panholzer, Left and right length of paths in binary trees,
(Extended abstract).
Discrete Mathematics and Theoretical Computer Science,
in: "Proceedings of the Fourth Colloquium on Mathematics and Computer Science", Proceedings AG, 415-418, 2006.
-
A. Panholzer and G. Seitz,
Ordered increasing k-trees: introductions and analysis of a preferential attachment network model
,
Discrete Mathematics and Theoretical Computer Science,
in: "Proceedings of the 21st International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2010)", Proceedings AM, 549-564, 2010.
-
A. Panholzer and H. Prodinger,
Asymptotic results for the number of paths in a grid
,
accepted for publication in Bulletin of the Australian Mathematical Society.
-
A. Panholzer and G. Seitz,
Limiting distributions for the number of inversions in labelled tree families
,
submitted.
-
A. Panholzer and G. Seitz,
Ancestors and descendants in evolving k-tree models
,
submitted.
-
F. Pausinger and W. Ch. Schmid,
A lower bound for the diaphony of generalised van
der Corput sequences in arbitrary base b
,
Journal of Uniform Distribution Theory, 6, no 2, 31-48, 2011.
-
F. Pausinger and W. Ch. Schmid,
A good permutation for one-dimensional diaphony
,
Monte Carlo Methods and Appl. 16, 307-322, 2010.
-
F. Pillichshammer, Dyadic diaphony of digital sequences,
J. Th\'{e}or. Nombres Bordeaux, 19: 501-521, 2007.
-
F. Pillichshammer, Uniform distribution of sequences connected with the weighted sum-of-digits function,
Uniform Distribution Theory, 2: 1-10, 2007.
-
F. Pillichshammer,
Digital sequences with best possible order of $L_2$-discrepancy,
Mathematika, 53: 149-160, 2006.
-
F. Pillichshammer and G. Pirsic
The quality parameter of cyclic nets and hyperplane nets
,
Unif. Distrib. Theory 4: 69--79, 2009.
-
F. Pillichshammer and G. Pirsic
Discrepancy of hyperplane nets and cyclic nets
,
In: Monte Carlo and quasi-Monte Carlo methods 2008, pp. 573--587, Springer, Berlin, 2009.
-
F. Pillichshammer
Euler's constant and averages of fractional parts
,
Amer. Math. Monthly 117: 78--83, 2010.
-
F. Pillichshammer
Polynomial lattice point sets
,
In: Monte Carlo and quasi-Monte Carlo methods 2010, Springer, Berlin, to appear.
-
F. Pillichshammer and G. Pirsic
Extensible hyperplane nets
,
Finite Fields Appl. (to appear), 2011.
- G. Pirsic, J. Dick and F. Pillichshammer, Cyclic digital nets, hyperplane nets and multivariate integration in Sobolev spaces,
SIAM J. Num. Anal., 44: 385-411, 2006.
-
H. Rosengren and M. Schlosser, On Warnaar's elliptic matrix inversion and
Karlsson-Minton-type elliptic hypergeometric series
,
J. Comput. Appl. Math. 178 (2005), 377-391.
-
H. Rosengren and M. Schlosser, Elliptic determinant evaluations and the Macdonald identities for affine root systems, Compos. Math. 142 (4) (2006), 937-961.
-
M. Rubey, Nestings of Matchings and Permutations and North Steps in PDSAWs, math. CO, 11 pages.
-
M. Rubey, Extended Rate, more GFUN, J. Symbolic Computation 46 (2011), 889-903.
-
M. Rubey and C. Stump, Crossings and nestings in set partitions of classical types, Electron. J. Comb. 17 (2010),
Research Paper R120, 19 pp.
-
M. Rubey, Increasing and Decreasing Sequences in Fillings of Moon Polyominoes, Adv. Appl. Math. 47 (2011), 57-87.
-
M. Rubey, A combinatorial interpretation of Guo and Zeng's q-Faulhaber coefficients , math. CO, 6 pages.
- K. Scheicher, P. Surer, J. M. Thuswaldner, and
C. van de Woestijne. Generalised Canonical Number Systems
and Digit Systems (2011). ArXiv:1004.3729v1 [math.NT].
-
M. Schlosser, Abel-Rothe type generalizations of Jacobi's triple product identity,
Dev. Math. 13 (2005), 383-400.
-
M. Schlosser, Summation, transformation, and expansion formulas for multibasic theta hypergeometric series,
Adv. Stud. Contemp. Math. (Kyungshang) 11 (2005), no. 1, 67-84; also in Proceedings of the Workshop Elliptic Integrable Systems (M. Noumi and K. Takasaki, eds.) Kyoto, RIMS, 2004; Rokko Lectures in Mathematics 18 (2005), 1-17.
-
M. Schlosser, Explicit computation of the q,t-Littlewood-Richardson coefficients
, Proceedings of the Workshop on Jack, Hall-Littlewood and Macdonald polynomials(V. Kuznetsov and S. Sahi, eds.) Edinburgh, ICMS, Sept. 23-26, 2003; Contemp. Math. 417 (2006), 335-343.
-
M. Schlosser, Summation formulae for noncommutative hypergeometric series
, 35 pages, submitted.
-
M. Schlosser, Noncommutative extensions of Ramanujan's 1-psi-1 summation
, Electron. Trans. Numer. Anal. 24 (2006), 94-102.
-
M. Schlosser, Elliptic enumeration of nonintersecting lattice paths,
J. Combin. Theory Ser. A, 114 (3) (2007), 505-521.
-
M. Schlosser, Macdonald polynomials and multivariable basic hypergeometric series
,
Vadim Kuznetsov Memorial Issue on Integrable Systems and Related
Topics, Sigma 3 (2007), 056, 30 pp.
- M. Schlosser,
A new
multivariable 6-psi-6 summation formula, Ramanujan J. 17 (3) (2008), 305-319.
- M. Schlosser,
Multilateral inversion of A_r, C_r and D_r
basic hypergeometric series, Ann. Comb. 13 (2009), 341-363.
- M. Schlosser,
A Taylor expansion theorem for an elliptic extension of the Askey-Wilson operator
,in Special Functions and Orthogonal Polynomials (D. Dominici and R. S. Maier, eds.), Amer. Math. Soc., Providence, R.I., Contemp. Math. 471 (2008), 175-186.
- M. Schlosser,
A noncommutative weight-dependent generalization of the binomial theorem, preprint.
-
K. Schmidt
Ergodic Theory and Number Theory: The Work of Elon Lindenstrauss
Internat. Math. Nachrichten 216 (2011), 1--13
-
K. Schmidt and E. Verbitskiy
Abelian sandpiles and the harmonic model
Comm. Math. Phys. 292 (2009), 721--759
-
K. Schmidt and E. Verbitskiy
New directions in algebraic dynamical systems
Regul. Chaotic Dyn. 16 (2011), 79--89
- N. S. Schmuck, S. G. Wagner and H. Wang, Greedy trees,
caterpillars, and Wiener-type graph invariants, to appear in MATCH
Commun. Math. Comput. Chem..
- A. Siegel and J. M. Thuswaldner. Topological properties
of Rauzy fractals. No. 118 in Mém. Soc. Math. Fr. (N.S.) (2009).
-
V. Sirvent and J. Thuswaldner, On the $k$-bonacci Mandelbrot set,
submitted.
-
Christian Steineder,
Subword complexity and projection bodies
,
Adv. Math. 217 (2008),2377-2400.
- W. Steiner and J. Thuswaldner. Rational
self-affine tiles. Submitted.
-
S. Steinerberger and F. Pillichshammer
Average distance between consecutive points of uniformly distributed sequences
,
Unif. Distrib. Theory 4: 51--67, 2009.
-
T. Stoll, Decomposition of perturbed Chebyshev
polynomials, J. Comp. Appl. Math., to appear.
-
T. Stoll, Complete decomposition of Dickson-type recursive polynomials and a related Diophantine equation,
J. Number Theory, to appear.
-
T. Stoll, On a problem of Erdös and Graham concerning digits, Acta Arith. 125 (2006), 89-100.
- T. Stoll and R. F. Tichy. Diophantine equations for
Morgan-Voyce and other modified orthogonal polynomials. Math. Slovaca, 58,
(2008), 11–18.
-
G. Strasser
Generalisations of the Euler Adic
Math. Proc. Cambridge Philos. Soc. 150 (2011), 241--256
-
C. Stump, Non-crossing partitions, non-nesting partitions and Coxeter sortable elements in types $A$ and $B$, submitted.
-
Paul Surer,
Characterisation results for Shift Radix Systems
,
Mathematica Pannonica 18 (2007), no. 2, 265 - 297.
- P. Surer. e-Shift Radix Systems and radix representations with
shifted digit sets. Publ. Math. Debrecen, 74(1-2), (2009), 19–43.
- E. Teufl and S. G. Wagner. The
number of spanning trees in self-similar graphs. Ann. Comb., 15(2),
(2011), 355–380.
- E. Teufl and S. G. Wagner. The
number of spanning trees of finite Sierpinski graphs. In Fourth
Colloquium on Mathematics and Computer Science Algorithms, Trees,
Combinatorics and Probabilities, Discrete Math. Theor. Comput. Sci. Proc., AG.
Assoc. Discrete Math. Theor. Comput. Sci., Nancy (2006), pp. 411–414.
- J. L. Thunder and M. Widmer. Counting
points of fixed degree and given height over function fields.
Submitted.
- J. Thuswaldner and V. Ziegler. On
linear combinations of units with bounded coefficients. Mathematika.
To appear.
- R.F. Tichy and S. Wagner, Algorithmic
generation of molecular graphs with large Merrifield-Simmons index,
MATCH Communications in Mathematical and in Computer
Chemistry 59/1 (2008), 239-252.
- R. F. Tichy and M. Zeiner. Baire
Results of Multi-Sequences. Unif. Distrib. Theory, 5(1), (2010),
13–44.
- R. F. Tichy and V. Ziegler. Units generating
the ring of integers of complex cubic fields. Colloq. Math., 109(1),
(2007), 71–83.
-
C.E. van de Woestijne, Noncanonical number systems in the integers,
J. Num. Th. 128 (2008), 2914-2938.
- C.E. van de Woestijne, The
structure of abelian groups supporting a number system (extended
abstract), Actes des rencontres du CIRM 1 (2009), 75–79.
- C. E. van de Woestijne, Number systems and the
Chinese Remainder Theorem, submitted.
- S. G. Wagner. Extremal
trees with respect to Hosoya index and Merrifield-Simmons index. MATCH
Commun. Math. Comput. Chem., 57(1), (2007), 221–233.
- S. G. Wagner. Numbers
with fixed sum of digits in linear recurrent number systems. Ramanujan
J., 14(1), (2007), 43–68.
- S. G. Wagner. On an
identity for the cycle indices of rooted tree automorphism groups.
Electron. J. Combin., 13(1), (2006), Note 14, 7.
- S. G. Wagner. On the
number of decomposable trees. In Fourth Colloquium on Mathematics and
Computer Science Algorithms, Trees, Combinatorics and Probabilities, Discrete
Math. Theor. Comput. Sci. Proc., AG. Assoc. Discrete Math. Theor. Comput.
Sci., Nancy (2006), pp. 301–308.
- S. G. Wagner. On tries,
contention trees and their analysis. Ann. Comb., 12(4), (2009),
493–507.
- S. G. Wagner. Waring's
problem with restrictions on q-additive functions. Math. Slovaca,
59(3), (2009), 339–348.
- S. G. Wagner, H. Wang, and G. Yu. Molecular
graphs and the inverse Wiener index problem. Discrete Appl. Math.,
157(7), (2009), 1544–1554.
- M. Widmer. Lipschitz
class, Narrow class, and counting lattice points. Proc. Amer. Math.
Soc. To appear.
- M. Widmer. On certain
infinite extensions of the rationals with Northcott property. Monatsh.
Math., 162, (2011), 341–353.
- M. Widmer. On number fields
with nontrivial subfields. Int. J. Number Theory, 7, (2011), 341–353.
- M. Widmer. Small
generators of function fields. J. Théor. Nombres Bordeaux, 22, (2010),
544–551.
-
R. Winkler
Hartman sets, functions and sequences - a survey
,
Advanced Studies in Pure Mathematics 49, 517-543, 2007.
-
R. Winkler
A little topological counterpart of Birkhoff's ergodic theorem
,
Uniform Distribution Theory 5, 157-162, 2010.
-
R. Winkler
Upper semicontinuity of set valued functions and a topological counterpart of Birkhoff's ergodic theorem
,
preprint.
- A. Winterhof and C.E. van de Woestijne, Exact solutions to Waring's
problem for finite fields, Acta Arith. 141 (2010),
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