Vol. 305, No. 1, 2020

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On the commutativity of coset pressure

Bing Li and Wen-Chiao Cheng

Vol. 305 (2020), No. 1, 219–228
Abstract

We establish the conditional entropy with a coset partition and coset pressure for subadditive potentials via separated sets on a compact metric group. Analogues of the variational principle and thermodynamic formalism are shown in this system. The major finding of this study consists of its presentation of the commutativity proposition for those conjugate invariants.

Keywords
thermodynamic formalism, coset pressure, conditional entropy, commutativity
Mathematical Subject Classification 2010
Primary: 28D20
Milestones
Received: 11 December 2016
Revised: 3 September 2019
Accepted: 30 October 2019
Published: 17 March 2020
Authors
Bing Li
School of Mathematics
South China University of Technology
Guangzhou
China
Wen-Chiao Cheng
Department of Applied Mathematics
Chinese Culture University
Yangmingshan
Taipei
Taiwan