Work

Unstable Topological Pressure for Partially Hyperbolic Diffeomorphisms with Sub-additive Potentials

Year: 2020

Type: preprint

Abstract: In this paper, we introduce the unstable topological pressure for C^1-smooth partially hyperbolic diffeomorphisms with sub-additive potentials. Moreover, without any additional assumption, we have established the expected variational principle which connects this unstable topological pressure and the unstable measure theoretic entropy, as well as the corresponding Lyapunov exponent.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2008.00454

Authors: Zhang, Wenda, Li, Zhiqiang, Zhou, Yunhua

Institutions: Chongqing Jiaotong University, Chongqing University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Chongqing Jiaotong University

Award: G6033834570

OpenAlex ID: W3046880045

Cites: 13

Cited by:

Related to: 10