9 citations · 11 across the 2 of their papers we have counts for
7 papers
Synchronizing automatic sequences along Piatetski-Shapiro sequences
Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner +2
The purpose of this paper is to study subsequences of synchronizing -automatic sequences along Piatetski-Shapiro sequences with non-integer . I…
(Logarithmic) densities for automatic sequences along primes and squares
Boris Adamczewski, Michael Drmota, Clemens Müllner
In this paper we develop a method to transfer density results for primitive automatic sequences to logarithmic-density results for general automatic sequences. As an application we…
The VC-Dimension of Axis-Parallel Boxes on the Torus
Pierre Gillibert, Thomas Lachmann, Clemens Müllner
We show in this paper that the VC-dimension of the family of -dimensional axis-parallel boxes and cubes on the -dimensional torus are both asymptotically . This…
Multiplicative automatic sequences
Jakub Konieczny, Mariusz Lemańczyk, Clemens Müllner
We obtain a complete classification of complex-valued sequences which are both multiplicative and automatic.
Automorphisms of automatic shifts
Clemens Müllner, Reem Yassawi
In this article we continue the study of automorphism groups of constant length substitution shifts and also their topological factors. We show that up to conjugacy, all roots of t…
Palindromic Subsequences in Finite Words
Clemens Müllner, Andrew Ryzhikov
In 1999 Lyngsø and Pedersen proposed a conjecture stating that every binary circular word of length with equal number of zeros and ones has an antipalindromic linear subsequenc…