5 citations · 7 across the 5 of their papers we have counts for
6 papers
Möbius orthogonality of sequences with maximal entropy
Michael Drmota, Christian Mauduit, Joël Rivat +1
We prove that strongly -multiplicative functions of modulus along squares are asymptotically orthogonal to the Möbius function. This provides examples of sequences having ma…
An algorithm for the word entropy
Carlos Gustavo Moreira, Christian Mauduit, Sébastien Ferenczi
For any infinite word on a finite alphabet , the complexity function of is the sequence counting, for each non-negative , the number of words of length…
Entropy ratio for infinite sequences with positive entropy
C. Mauduit, C. -G. Moreira
The complexity function of an infinite word on a finite alphabet is the sequence counting, for each non-negative , the number of words of length on the alphabet …
Complexity and fractal dimensions for infinite sequences with positive entropy
Carlos Gustavo Moreira, Christian Mauduit
The complexity function of an infinite word on a finite alphabet is the sequence counting, for each non-negative , the number of words of length on the alphabet …
Substitutions and Möbius disjointness
S. Ferenczi, J. Kułaga-Przymus, M. Lemańczyk +1
We show that Sarnak's conjecture on Möbius disjointness holds for all subshifts given by bijective substitutions and some other similar dynamical systems, e.g.\ those generated by…
Asymptotic behavior of growth functions of D0L-systems
Julien Cassaigne, Christian Mauduit, Francois Nicolas
A D0L-system is a triple (A, f, w) where A is a finite alphabet, f is an endomorphism of the free monoid over A, and w is a word over A. The D0L-sequence generated by (A, f, w) is…