5 citations · 10 across the 5 of their papers we have counts for
9 papers · 1 filter
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…
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…
Automatic sequences are orthogonal to aperiodic multiplicative functions
Mariusz Lemańczyk, Clemens Müllner
Given a finite alphabet and a primitive substitution (of constant length ), let denote the corresponding dynamical system, w…
On disjointness properties of some parabolic flows
Adam Kanigowski, Mariusz Lemańczyk, Corinna Ulcigrai
The Ratner property, a quantitative form of divergence of nearby trajectories, is a central feature in the study of parabolic homogeneous flows. Discovered by Marina Ratner and use…