An asymptotic analysis in thermodynamic formalism

被引：0
|
作者：
Haruyoshi Tanaka
机构：
[1] Hiroshima University,Department of Mathematics, Graduate School of Science
来源：
Monatshefte für Mathematik | 2011年 / 164卷
关键词：
Ruelle operator; Symbolic dynamics; Thermodynamic formalism; Asymptotic perturbation; 37C30; 37B10; 37D35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider an asymptotic behaviour of the topological pressure, the Gibbs measure and the measure-theoretic entropy concerning a potential defined on a subshift. Our results are obtained by considering asymptotic perturbation of transfer operators and by using a method that avoids resolvent’s perturbation. In application, we investigate an asymptotic behaviour of the Hausdorff dimension of a perturbed cookie-cutter set.
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页码：467 / 486
页数：19
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