Strong statistical stability of non-uniformly expanding maps

被引：43

作者：

Alves, JF ^{[1
]}

机构：

[1] CMUP, P-4169007 Oporto, Portugal

来源：

NONLINEARITY | 2004年 / 17卷 / 04期

关键词：

D O I：

10.1088/0951-7715/17/4/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider families of transformations in multidimensional Riemannian manifolds with non-uniformly expanding behaviour. We give sufficient conditions for the continuous variation (in the L-1-norm) of the densities of absolutely continuous (with respect to the Lebesgue measure) invariant probability measures for those transformations.

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页码：1193 / 1215

页数：23

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