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: |
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