Pomeau-Manneville maps are global-local mixing
Autor: | Bonanno, Claudio, Lenci, Marco |
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Rok vydání: | 2019 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.3934/dcds.2020309 |
Popis: | We prove that a large class of expanding maps of the unit interval with a $C^2$-regular indifferent point in 0 and full increasing branches are global-local mixing. This class includes the standard Pomeau-Manneville maps $T(x) = x + x^{p+1}$ mod 1 ($p \ge 1$), the Liverani-Saussol-Vaienti maps (with index $p \ge 1$) and many generalizations thereof. Comment: 23 pages. Final version produced for Discrete and Continuous Dynamical Systems - Series A. Numbering of equations, references et alia conforms to the published article |
Databáze: | arXiv |
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