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math.DS2020
Sarnak's Conjecture from the Ergodic Theory Point of View
Joanna Kułaga-Przymus, Mariusz Lemańczyk
This is a survey on Sarnak's Conjecture
math.DS2020
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…
math.DS2020
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…