Local pressure of subsets and measures
type: Item
instance of: scholarly article
title: Local pressure of subsets and measures
zbMATH Open document ID: 1487.37042
author: Yanyan Li
published in: Journal of Statistical Physics
publication date: 2021-12-13T00:00:00Z
review text: The author considers and generalizes many properties of the local metric pressure and the local metric lower and upper capacities with respect to a fixed open cover, which are defined by the Carathéodory-Pesin construction. In particular, all local pressures of an ergodic measure are verified to be equal to the local metric entropy plus the integral of the potential up to a variation of the potential itself with respect to the open cover. This answers positively a question by \textit{T. Downarowicz} [Entropy in dynamical systems. Cambridge: Cambridge University Press (2011; Zbl 1220.37001)] on variant entropy.
reviewed by: Xu Zhang
Mathematics Subject Classification ID: 37D35
Mathematics Subject Classification ID: 37A35
Mathematics Subject Classification ID: 37B40
Mathematics Subject Classification ID: 37A05
Mathematics Subject Classification ID: 28A12
zbMATH DE Number: 7442690
zbMATH Keywords: entropy
zbMATH Keywords: pressure
zbMATH Keywords: local variational principle
zbMATH Keywords: Carathéodory-Pesin construction
zbMATH Keywords: variant entropy
MaRDI profile type: Publication
full work available at URL: s10955-021-02822-1
OpenAlex ID: W3207481348
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DOI: 10.1007/S10955-021-02822-1
description: scientific article; zbMATH DE number 7442690