5 citations · 5 across the 2 of their papers we have counts for
2 papers
math.DS2019★ 5 cited
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…
math.NT2017
Sarnak's conjecture implies the Chowla conjecture along a subsequence
Alexander Gomilko, Dominik Kwietniak, Mariusz Lemańczyk
We show that the Möbius disjointess of zero entropy dynamical systems implies the existence of an increasing sequence of positive integers along which the Chowla conjecture on auto…