Entropies of Random Transformations on a Non-compact Space

Autor:	Dingxuan Tang, Zhiming Li
Rok vydání:	2019
Předmět:	Pure mathematics Mathematics::Dynamical Systems Applied Mathematics 010102 general mathematics Context (language use) Space (mathematics) 01 natural sciences 010101 applied mathematics Mathematics (miscellaneous) Compact space Variational principle Metric (mathematics) 0101 mathematics Boltzmann's entropy formula Mathematics
Zdroj:	Results in Mathematics. 74
ISSN:	1420-9012 1422-6383
DOI:	10.1007/s00025-019-1046-3
Popis:	In this paper, we present several possible natural extensions of metric and topological entropies for random transformations on a non-compact space. In particular, Brin–Katok local entropy formula and Katok $$\delta $$ entropy formula will be reformulated in the context of non-compact setting. Furthermore, a corresponding variational principle for non-compact systems is given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c9bcdc7e2fca43f8caa9a04710292702 https://doi.org/10.1007/s00025-019-1046-3 Zobrazit plný text záznamu Full text from SpringerLink