Double variational principle for mean dimension with potential

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

This paper contributes to the mean dimension theory of dynamical systems. We introduce a new concept called mean dimension with potential and develop a variational principle for it. This is a mean dimension analogue of the theory of topological pressure. We consider a minimax problem for the sum of rate distortion dimension and the integral of a potential function. We prove that the minimax value is equal to the mean dimension with potential for a dynamical system having the marker property. The basic idea of the proof is a dynamicalization of geometric measure theory.

本文言語英語
論文番号106935
ジャーナルAdvances in Mathematics
361
DOI
出版ステータス出版済み - 2 12 2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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