Arithmetical subword complexity of automatic sequences
submitted.
Bracket words along Hardy field sequences
submitted.
Synchronizing automatic sequences along Piatetski-Shapiro sequences
accepted for publication in Israel Journal of Mathematics.
Coprimality of Consecutive Elements in a Piatetski-Shapiro Sequence
accepted for publication in Number Theory in Memory of Eduard Wirsing.
Primes as sums of Fibonacci numbers
accepted for publication in Memoirs of the AMS.
Automaticity of uniformly recurrent substitutive sequences
submitted.
Some recent developments on the Sarnak Conjecture
accepted for publication in "Panoramas et Syntheses" by Soc. Math. de France.
Gowers norms for automatic sequences
accepted for publication in Discrete Analysis.
The VC-Dimension of Axis-Parallel Boxes on the Torus
Journal of Complexity, Volume 68, Issue C
Multiplicative automatic sequences
Mathematische Zeitschrift volume 300, 1297–1318 (2022)
(Logarithmic) densities for automatic sequences along primes and squares
Trans. Amer. Math. Soc. 375 (2022), 455-499
Automorphisms of automatic shifts
Ergodic Theory and Dynamical Systems 41 (2021), no. 5, 1530-1559
Automatic sequences are orthogonal to aperiodic multiplicative functions
Discrete and Continuous Dynamical Systems 40 (2020), no. 12, 6877-6918
Randomness and non-randomness properties of Piatetski-Shapiro sequences modulo m
Mathematika 65 (2019), no. 4, 1051–1073.
Palindromic subsequences in finite words
Language and automata theory and applications, 460–468, Lecture Notes in Comput. Sci., 11417, Springer, Cham, 2019
Exponential sums with automatic sequences
Acta Arith. 185 (2018), no. 1, 81-99
The Rudin-Shapiro Sequence and Similar Sequences are Normal Along Squares
Canad. J. Math. 70 (2018), no. 5, 1096–1129
Möbius orthogonality for the Zeckendorf sum-of-digits function
Proc. Amer. Math. Soc. 146 (2018), no. 9, 3679–3691
Automatic sequences fulfill the Sarnak conjecture
Duke Math. J. 166, no. 17 (2017), 3219-3290
Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences, II
Israel J. Math. 220 (2017), no. 2, 691-738
Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture
Studia Math. 231 (2015), no. 1, 83–95