High pointwise emergence and Katok's conjecture for systems with non-uniform structure
| Autor: | Ji, Yong, Chen, Ercai, Lin, Zijie |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6544/ac8a3a |
| Popis: | Recently, Kiriki, Nakano and Soma introduced a concept called pointwise emergence as a new quantitative perspective into the study of non-existence of averages for dynamical systems. In the present paper, we consider the set of points with high pointwise emergence for systems with non-uniform structure and prove that this set carries full topological pressure. For the proof of this result, we show that such systems have ergodic measures of arbitrary intermediate pressures. |
| Databáze: | arXiv |
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