September 7, 2017
3:00PM - 4:00PM
Math Tower 154
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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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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
Speaker: 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.