Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards

被引：4

作者：

Bachurin, Pavel ^{[1
]}

Balint, Peter ^{[2
,3
]}

Toth, Imre Peter ^{[4
,5
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

[2] Tech Univ Budapest, Inst Math, H-1111 Budapest, Hungary

[3] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[4] Hungarian Acad Sci, Alfred Renyi Inst, H-1053 Budapest, Hungary

[5] Tech Univ Budapest, Res Grp Stochast, H-1521 Budapest, Hungary

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2008年 / 167卷 / 01期

关键词：

D O I：

10.1007/s11856-008-1045-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove local ergodicity of uniformly hyperbolic discrete time dynamical systems with singularities, which satisfy certain regularity conditions and an assumption on the growth of unstable manifolds. We apply the result to prove ergodicity of a class of multi-dimensional dispersing billiards.

引用

页码：155 / 175

页数：21

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