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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 211B - Group Actions Seminar
Qingyuan Chen
UCSD
Shannon Orbit Equivalences Preserve Kolmogorov-Sinai Entropy
Abstract:
We will consider the behavior of the Kolmogorov-Sinai entropies of amenable group actions under a Shannon orbit equivalence. Although dynamical entropy is in general not invariant under orbit equivalences, recent works have shown that various notions of restricted orbit equivalences will preserve entropy. We focus on the case where the orbit equivalence is Shannon, and both groups are finitely generated amenable. In this talk, we will present a proof for our main result.
Host: Brandon Seward
May 16, 2024
10:00 AM
APM 7321
Research Areas
Ergodic Theory and Dynamical Systems****************************
