A variational principle of amenable random metric mean dimensions

DOI10.1017/s0013091524000257MaRDI QIDQ6622906

Zhiming Li, Dingxuan Tang

Publication date: 23 October 2024

Published in: Proceedings of the Edinburgh Mathematical Society. Series II (Search for Journal in Brave)

zbMATH Keywords

variational principlerandom dynamical systemsequilibrium statespotentialsmetric mean dimensionamenable group actionsmeasure-theoretic metric mean dimension

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) General theory of random and stochastic dynamical systems (37H05) Random iteration (37H12)

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