Minimax aspects of optimizations in ergodic theory
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910729456582656 |
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| author | Motonaga, Shoya |
| author_facet | Motonaga, Shoya |
| contents | We study optimization problems in ergodic theory from the view point of minimax problems. We give minimax characterizations of maximum ergodic averages involving time averages. Our approach works for the abstract variational principle of generalized pressure functions which is proved by Biś et al. (2022). We also describe the relationship between our minimax results and the Fenchel-Rockafellar duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimax aspects of optimizations in ergodic theory Motonaga, Shoya Dynamical Systems 37A05, 37A50 We study optimization problems in ergodic theory from the view point of minimax problems. We give minimax characterizations of maximum ergodic averages involving time averages. Our approach works for the abstract variational principle of generalized pressure functions which is proved by Biś et al. (2022). We also describe the relationship between our minimax results and the Fenchel-Rockafellar duality. |
| title | Minimax aspects of optimizations in ergodic theory |
| topic | Dynamical Systems 37A05, 37A50 |
| url | https://arxiv.org/abs/2411.17615 |