activity
20042021
most citedOn spectral disjointness of powers for rank-one transformations and Möbius orthogonality

60 citations · 137 across the 22 of their papers we have counts for

collaborators

26 papers

math.DS2021★ 2 cited

On the Garden of Eden theorem for B-free subshifts

Gerhard Keller, Mariusz Lemanczyk, Christoph Richard +1

We prove that on B-free subshifts, with B satisfying the Erdös condition, all cellular automata are determined by monotone sliding block codes. In particular, this implies the vali…

math.DS2020

Spectral theory of dynamical systems

Adam Kanigowski, Mariusz Lemańczyk

This is a survey on spectral theory of dynamical systems.

math.DS2020★ 3 cited

On Furstenberg systems of aperiodic multiplicative functions of Matomaki, Radziwill and Tao

Aleksander Gomilko, Mariusz Lemanczyk, Thierry de la Rue

It is shown that in a class of counterexamples to Elliott's conjecture by Matomaki, Radziwill and Tao, the Chowla conjecture holds along a subsequence.

math.NT2020

Multiplicative automatic sequences

Jakub Konieczny, Mariusz Lemańczyk, Clemens Müllner

We obtain a complete classification of complex-valued sequences which are both multiplicative and automatic.

math.DS2017★ 7 cited

Sarnak's Conjecture -- what's new

S. Ferenczi, J. Kułaga-Przymus, M. Lemańczyk

An overview of last seven years results concerning Sarnak's conjecture on Möbius disjointness is presented, focusing on ergodic theory aspects of the conjecture.

math.DS2017★ 2 cited

Möbius disjointness for models of an ergodic system and beyond

El Houcein El Abdalaoui, Joanna Kułaga-Przymus, Mariusz Lemańczyk +1

Given a topological dynamical system and an arithmetic function , we study the strong MOMO property (relatively to $\boldsymbol…