(Logarithmic) densities for automatic sequences along primes and squares
submitted.
The VC-Dimension of Axis-Parallel Boxes on the Torus
submitted.
Multiplicative automatic sequences
submitted.
Gowers norms for automatic sequences
submitted.
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