Invariant Measures of Non-uniformly Expanding Maps with Higher Order Critical Set

被引：0

作者：

Chicale, Ricardo ^{[1
]}

Horita, Vanderlei ^{[1
]}

机构：

[1] Sao Paulo State Univ UNESP, Inst Biosci Humanities & Exact Sci, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2025年

关键词：

Absolutely continuous invariant probability; Nonuniformly hyperbolic systems; Viana maps; Higher order critical point; SRB MEASURES; SYSTEMS;

D O I：

10.1007/s10884-025-10417-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in Horita et al. (J Dyn Diff, 2024). As a consequence of our approach, we obtain super-polynomial decay of correlations.

引用

页数：25

共 15 条

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[2] Repellers for non-uniformly expanding maps with singular or critical points
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[9] Exponential rate of decay of correlations of equilibrium states associated with non-uniformly expanding circle maps
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[10] Multifractal analysis in non-uniformly hyperbolic interval maps
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