公理A流的pollicot - ruelle共振计数

IF 2.2 1区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Mathematical Physics Pub Date : 2025-01-11 DOI:10.1007/s00220-024-05215-z

Long Jin, Zhongkai Tao

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引用次数: 0

摘要

在本文中，我们计算了开放双曲系统和公理A流的pollicot - ruelle共振的个数。特别地，我们证明了开放双曲系统中模小于r的共振数的多项式上界和次线性下界，以及具有横截性条件的公理A流。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Counting Pollicott–Ruelle Resonances for Axiom A Flows

In this paper, we count the number of Pollicott–Ruelle resonances for open hyperbolic systems and Axiom A flows. In particular, we prove polynomial upper bounds and sublinear lower bounds on the number of resonances with modulus less than r in strips for open hyperbolic systems and Axiom A flows with a transversality condition.

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来源期刊

Communications in Mathematical Physics 物理-物理：数学物理

CiteScore

4.70

自引率

8.30%

发文量

226

审稿时长

3-6 weeks

期刊介绍： The mission of Communications in Mathematical Physics is to offer a high forum for works which are motivated by the vision and the challenges of modern physics and which at the same time meet the highest mathematical standards.