PERTURBATION OF RUELLE RESONANCES AND FAURE-SJOSTRAND ANISOTROPIC SPACE

被引：7

作者：

Bonthonneau, Yannick Guedes ^{[1
]}

机构：

[1] Univ Rennes 1, Inst Rech Math Rennes, IRMAR, UMR 6625,CNRS, F-35000 Rennes, France

来源：

REVISTA DE LA UNION MATEMATICA ARGENTINA | 2020年 / 61卷 / 01期

关键词：

ANOSOV-FLOWS; SYSTEMS;

D O I：

10.33044/revuma.v61n1a03

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an Anosov vector field X-0, all sufficiently close vector fields are also of Anosov type. In this note, we check that the anisotropic spaces described by Faure and Sjostrand and by Dyatlov and Zworski can be chosen adapted to any smooth vector field sufficiently close to X-0 in C-1 norm.

引用

页码：63 / 72

页数：10

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