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Ergodic Theory/Probability Seminar - Mariusz Lemanczyk

Mariusz Lemanczyk
September 7, 2017
3:00PM - 4:00PM
Math Tower 154

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Add to Calendar 2017-09-07 15:00:00 2017-09-07 16:00:00 Ergodic Theory/Probability Seminar - Mariusz Lemanczyk Title: Moebius disjointness for models of an ergodic system and beyondSpeaker: Mariusz Lemanczyk (Nicolaus Copernicus University, Toruń, Poland)Abstract: In 2010, P. Sarnak formulated the following conjecture: For each zero entropy topological system (X,T), we have $$ \lim_{N\to\infty}\frac1N\sum_{n\leq N}f(T^nx)\mu(n)\to 0$$ for each $f\in C(X)$ and $x\in X$. Here $\mu$ stands for the arithmetic Moebius function. The talk will concentrate on motivations for Sarnak's conjecture (relations with celebrated Chowla conjecture in number theory), role of ergodic theory in it and some recent progress. Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Moebius disjointness for models of an ergodic system and beyond

SpeakerMariusz Lemanczyk (Nicolaus Copernicus University, Toruń, Poland)

Abstract: In 2010, P. Sarnak formulated the following conjecture: For each zero entropy topological system (X,T), we have $$ \lim_{N\to\infty}\frac1N\sum_{n\leq N}f(T^nx)\mu(n)\to 0$$ for each $f\in C(X)$ and $x\in X$. Here $\mu$ stands for the arithmetic Moebius function. The talk will concentrate on motivations for Sarnak's conjecture (relations with celebrated Chowla conjecture in number theory), role of ergodic theory in it and some recent progress.

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