The ergodicity of a class of volume-preserving pointwise partially hyperbolic systems

In this paper, we prove that a class of C² volume-preserving, pointwise partially hyperbolic systems on open regions is ergodic if it is dynamically coherent, center bunched, and essentially accessible.

Authors

Publication Details

Journal
Scientia Sinica Mathematica
Published
2025-02-21
DOI
https://doi.org/10.1360/ssm-2024-0342
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00
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article

The ergodicity of a class of volume-preserving pointwise partially hyperbolic systems

Yunhua Zhou
Scientia Sinica Mathematica
Mathematical Dynamics and Fractals
article

The ergodicity of a class of volume-preserving pointwise partially hyperbolic systems

Yunhua Zhou
article en

Abstract

In this paper, we prove that a class of C² volume-preserving, pointwise partially hyperbolic systems on open regions is ergodic if it is dynamically coherent, center bunched, and essentially accessible.

Scientia Sinica MathematicaVol. 56(3)
Openalex Percentile: Top 93%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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The ergodicity of a class of volume-preserving pointwise partially hyperbolic systems — Yunhua Zhou · Scientia Sinica Mathematica (2025) | TGRS Research Map | TGRS