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Pomeau-Manneville maps are global-local mixing
Discrete and Continuous Dynamical Systems ( IF 1.1 ) Pub Date : 2020-08-10 , DOI: 10.3934/dcds.2020309
Claudio Bonanno , , Marco Lenci ,

We prove that a large class of expanding maps of the unit interval with a $ C^2 $-regular indifferent fixed 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.

中文翻译:

波摩-曼内维尔地图是全球-本地混合图

我们证明,在0和完全增加分支的情况下,具有$ C ^ 2 $-常规无关紧要固定点的单位间隔的一类展开图是全局-局部混合的。此类包括标准的Pomeau-Manneville映射$ T(x)= x + x ^ {p + 1} $ mod 1($ p \ ge 1 $),Liverani-Saussol-Vaienti映射(索引为$ p \ ge 1 $)及其许多概括。
更新日期:2020-08-10
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