Variational principle for weighted amenable topological pressure

Ercai Chen; Jiao Yang; Rui Yang; Xiaoyi Yang

REVIEW

Variational principle for weighted amenable topological pressure

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2306.15509 v2 pith:N6Y4N264 submitted 2023-06-27 math.DS

Jiao Yang , Ercai Chen , Rui Yang , Xiaoyi Yang This is my paper · ORCID

classification math.DS

keywords amenableweightedpressuretopologicalprinciplevariationalactionsfactor

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

This paper aims to investigate the thermodynamic formalism of weighted amenable topological pressure for factor maps of amenable group actions. Following the approach of Tsukamoto [\emph{Ergodic Theory Dynam. Syst.} \textbf{43}(2023), 1004-1034.], we introduce the notion of weighted amenable topological pressure for factor maps of amenable group actions, and establish a variational principle for it. As the application of variational principle, we show weighted amenable measure-theoretic entropy can be determined by weighted amenable topological pressure. Equilibrium states of weighted topological pressure are also involved.

Discussion (0). Continue with ORCID to comment.

Pith tools