Work

Physical measures for partially hyperbolic diffeomorphisms with mixed hyperbolicity

Year: 2023

Type: preprint

Abstract: We study the partially hyperbolic diffeomorphims whose center direction admits the u-definite property in the sense that all the central Lyapunov exponents of each ergodic Gibbs u-state are either all positive or all negative. We prove that for this kind of partially hyperbolic diffeomorphisms, there are finitely many physical measures, whose basins cover a full Lebesgue measure subset of the ambient space.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2308.08139

Authors: Mi, Zeya, Cao, Yongluo

Institutions: Nanjing University of Information Science and Technology, Soochow University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G3250800360, G5076635021, G5531933734

OpenAlex ID: W4385965624

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