A brief introduction to sofic entropy theory

LP Bowen - Proceedings of the International Congress of …, 2018 - World Scientific
Proceedings of the International Congress of Mathematicians (ICM 2018) : A BRIEF
INTRODUCTION TO SOFIC ENTROPY THEORY Page 1 P . I . C . M . – 2018 Rio de Janeiro …

Gibbs measures over locally tree-like graphs and percolative entropy over infinite regular trees

T Austin, M Podder - Journal of Statistical Physics, 2018 - Springer
Consider a statistical physical model on the d-regular infinite tree T_ d T d described by a set
of interactions Φ Φ. Let {G_ n\} G n be a sequence of finite graphs with vertex sets V_n V n …

Predictability, topological entropy, and invariant random orders

A Alpeev, T Meyerovitch, S Ryu - Proceedings of the American …, 2021 - ams.org
We prove that a topologically predictable action of a countable amenable group has zero
topological entropy, as conjectured by Hochman. We investigate invariant random orders …

Entropy, products, and bounded orbit equivalence

D Kerr, H Li - Ergodic Theory and Dynamical Systems, 2023 - cambridge.org
We prove that if two topologically free and entropy regular actions of countable sofic groups
on compact metrizable spaces are continuously orbit equivalent, and each group either (i) …