Joint IAS/PU Groups and Dynamics Seminar

A stationary measure in random dynamics is an analog of an invariant measure for a classical dynamical system. While there is no reason, in general, for an invariant measure of a diffeomorphism to have any regularity, it turns out that, under mild...

Let $p$ be a prime number, $d$ be a positive integer, and $M\ge 1$ be a real parameter. 
A tuple $(a_1,\dots, a_d) \in \mathbb{F}^d_p$ is called a tuple of (Korobov) $\it optimal$ $\it coefficients$ if, for any  nonzero $x\in \mathbb{F}_p$ one has 
\b...

From their origin sofic groups have had a strong connection to topological dynamics in that it was shown that sofic groups are surjunctive - a dynamical notion. Later on, Lewis Bowen developed an entropy theory for sofic groups. This led to further...