Constrained Ergodic optimization for generic continuous functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911807894978560 |
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| author | Motonaga, Shoya Shinoda, Mao |
| author_facet | Motonaga, Shoya Shinoda, Mao |
| contents | One of the fundamental results of ergodic optimization asserts that for any dynamical system on a compact metric space with the specification property and for a generic continuous function $f$ every invariant probability measure that maximizes the space average of $f$ must have zero entropy. We establish the analogical result in the context of constraint ergodic optimization, which is introduced by Garibaldi and Lopes (2007). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_11932 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Constrained Ergodic optimization for generic continuous functions Motonaga, Shoya Shinoda, Mao Dynamical Systems 37E45, 37B10, 37A99 One of the fundamental results of ergodic optimization asserts that for any dynamical system on a compact metric space with the specification property and for a generic continuous function $f$ every invariant probability measure that maximizes the space average of $f$ must have zero entropy. We establish the analogical result in the context of constraint ergodic optimization, which is introduced by Garibaldi and Lopes (2007). |
| title | Constrained Ergodic optimization for generic continuous functions |
| topic | Dynamical Systems 37E45, 37B10, 37A99 |
| url | https://arxiv.org/abs/2211.11932 |