Zeit: Montag, 14.00h, Donnerstag 15.00h oder 16.00h
Ort: ESI, Schroedinger lecture hall, Boltzmanngasse 9, A1090 Wien.
| Datum: | 29. 11. 2007, 15:00 |
| Titel: | Poisson suspensions of infinite measure preserving transformations |
| Vortragender: | Roland Zweimueller (University of Vienna) |
| Abstract: | The Poisson
suspension T' of an infinite measure preserving
transformation T is defined as the natural action of T on the space of
counting measures. T' preserves a probability measure \mu' on that space,
the Poisson random measure with intensity given by the infinite measure
\mu preserved by T. This construction generalizes the (well-known) class
non-interacting infinite particle systems driven by null-reccurrent Markov
processes (e.g. random walks). I will give an introduction to this concept,
and report on some recent work. |
| Datum: | 8. 11. 2008, 15:00 |
| Titel: | Separation property, Mautner phenomenon and neutral subgroups |
| Vortragender: | Viktor Losert (Univ. Wien) |
| Datum: | 15. 11. 2008, 15:00 |
| Titel: | Siegel's problem about small denominators |
| Vortragender: | Herwig Hauser (Univ. Wien) |
| Datum: | 14. 6. 2007, 15:00 |
| Titel: | Measure preserving transformations similar to Markov shifts |
| Vortragender: | Roland Zweimueller (Univ. Wien) |
| Datum: | 31. 5. 2007, 15:00 |
| Titel: | On cocycles in generic and topological dynamics |
| Vortragender: | Slava Kulagin (Kharkov, ESI und INTAS) |
| Datum: | 4. 7. 2006, 15:00 |
| Titel: | A partial order on x2-invariant measures -- Part 2 |
| Vortragender: | Oliver Jenkinson (Queen Mary, London) |
| Datum: | 29. 6. 2006, 14:00 |
| Titel: | A partial order on x2-invariant measures |
| Vortragender: | Oliver Jenkinson (Queen Mary, London) |
| Datum: | 27. 6. 2006, 16:00 |
| Titel: | The Galois Theory of Minimal Flows |
| Vortragender: | Joe Auslander (University of Maryland) |
| Datum: | 26. 6. 2006, 11:00 |
| Titel: | Maximizing measures for a family of piecewise linear functions |
| Vortragender: | Catherine Richard
(ESI Junior Research Fellow) |
| Datum: | 2. 6. 2006, 10:00 |
| Titel: | Functional stable limit theorems for Gibbs-Markov maps |
| Vortragender: | Roland Zweimueller (ESI) |
| Abstract: | Let T be a
mixing probability preserving Gibbs-Markov map
on X (e.g. a uniformly expanding piecewise invertible
transformation with bounded distortion and a Markov
partition), and f a real-valued function on X, satisfying
certain regularity conditions (uniform Lipschitz continuity
on cylinders). If the distribution of f is in the domain of
attraction of a stable random variable G, it is known that
suitably normalized ergodic sums converge in distribution
to G. (In fact, finer conditional local limit theorems are
available.) I am going to report on some recent work showing
that in this situation the whole partial-sum process converges
to a stable process (in the sense of weak convergence of
measures on the usual Skorohod cadlag-space). This provides
us with a functional version of the distributional limit
theorem (a weak invariance principle). |
| Datum: | 2. 6. 2006, 11:30 |
| Titel: | Entropy of conservative endomorphisms: a first return |
| Vortragender: | Jon Aaronson (Tel Aviv) |
| Datum: | 1. 6. 2006, 15:00 |
| Titel: | Approximating the maximum ergodic average using periodic orbits |
| Vortragender: | Ian Morris (ESI Junior Research Fellow) |
| Datum: | 25. 5. 2006, 15:00 |
| Titel: | Ergodic skew products with uncountably many eigenvalues |
| Vortragender: | Jon Aaronson (Tel Aviv) |
| Datum: | 18. 5. 2006, 16:00 |
| Titel: | Towards a critical set for the Standard Map |
| Vortragender: | Katie Bloor (ESI Junior Research Fellow) |
| Datum: | 11. 5. 2006, 16:00 |
| Titel: | Invariant measures for random expansions of real numbers in non-integer bases |
| Vortragender: | Martijn de Vries (ESI Junior Research Fellow) |
| Datum: | 4. 5. 2006, 14:30 |
| Titel: | Rates of mixing for interval maps with criticalities and singularities |
| Vortragender: | Karla Diaz-Ordaz (ESI Junior Research Fellow) |
| Abstract: | We prove that a class of one-dimensional maps with an arbitrary finite
number of non-degenerate critical and singular points admits an induced
Markov tower with exponential return time asymptotics. This implies that
the map has an absolutely continuous invariant probability measure.
Moreover, we establish a relationship between the rate at which the
return time function decays and the decay of correlations for non-Hoelder
observables. |
| Datum: | 4. 5. 2006, 16:00 |
| Titel: | Approximating the maximum ergodic average using periodic orbits |
| Vortragender: | Ian Morris (ESI Junior Research Fellow) |
| Datum: | 20. 4. 2006, 16:00 |
| Titel: | Estimating the number of ergodic measures of a minimal subshift knowing the geometry of its Rauzy graphs |
| Vortragender: | Thiery Monteil (ESI Junior Research Fellow) |
| Datum: | 6. 4. 2006, 16:00 (!!!), ESI Schroedinger lecture Hall |
| Titel: | Periodic Point Data and Expansive Subdynamics |
| Vortragender: | Richard Miles (ESI Junior Research Fellow) |
| Datum: | 9. 3. 2006, 15:00 |
| Titel: | Regularity of topological cocycles |
| Vortragender: | Gernot Greschonig (University of Vienna) |
| Datum: | 23. 2. 2006, 15:00 |
| Titel: | Generalized metrics |
| Vortragender: | Athanase Papadopoulos (Strasbourg) |
| Datum: | 16. 2. 2006, 15:00 |
| Titel: | Entropy and the Haagerup invariant related to groups with amenable actions |
| Vortragender: | Marie Choda (Osaka) |
| Datum: | 30. 1. 2006, 14:00 |
| Titel: | Asymptotic orbit complexity of infinite measure preserving transformations |
| Vortragender: | Roland Zweimueller (ESI) |
| Abstract: | We determine the (a.e.) asymptotics of
the Kolmogorov complexity of symbolic orbits of certain
infinite measure preserving transformations, and show
that the Brudno-White individual ergodic theorem for
complexity generalizes to a ratio ergodic theorem
analogous to previously established extensions of the
Shannon-McMillan-Breiman theorem. |