23 citations · 117 across the 19 of their papers we have counts for
26 papers
Sarnak's Conjecture from the Ergodic Theory Point of View
Joanna Kułaga-Przymus, Mariusz Lemańczyk
This is a survey on Sarnak's Conjecture
Ergodic cocycles of IDPFT systems and nonsingular Gaussian actions
Alexandre I. Danilenko, Mariusz Lemańczyk
It is proved that each Gaussian cocycle over a mildly mixing Gaussian transformation is either a Gaussian coboundary or sharply weak mixing. The class of nonsingular infinite direc…
Prime number theorem for analytic skew products
Adam Kanigowski, Mariusz Lemańczyk, Maksym Radziwiłł
We establish a prime number theorem for all uniquely ergodic, analytic skew products on the -torus . More precisely, for every irrational and every -periodi…
Prime number theorem for regular Toeplitz subshifts
Krzysztof Frączek, Adam Kanigowski, Mariusz Lemańczyk
We prove that neither a prime nor {an l-almost prime} number theorem hold in the class of regular Toeplitz subshifts. But, {when a quantitative strengthening of the regularity with…
Number-theoretic positive entropy shifts with small centraliser and large normaliser
Michael Baake, Alvaro Bustos, Christian Huck +2
Higher-dimensional binary shifts of number-theoretic origin with positive topological entropy are considered. We are particularly interested in analysing their symmetries and exten…
M{ö}bius orthogonality in density for zero entropy dynamical systems
Alexander Gomilko, Mariusz Lemańczyk, Thierry de La Rue
It is proved that whenever a zero entropy dynamical system has only countably many ergodic measures and stands for the arithmetic M{ö}bius function, then there exists a…