Work

Non-rigidity of partially hyperbolic abelian $C^1$ -actions on tori

Year: 2024

Type: article

Abstract: We prove that every genuinely partially hyperbolic $\mathbb {Z}^r$ -action by toral automorphisms can be perturbed in $C^1$ -topology, so that the resulting action is continuously conjugate, but not $C^1$ -conjugate, to the original one.

Source: Ergodic Theory and Dynamical Systems

DOI: 10.1017/etds.2024.18

Authors: FEDERICO RODRIGUEZ HERTZ, ZHIREN WANG

Institution: Pennsylvania State University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,450

Funder: National Science Foundation

Awards: CAREER: Dynamical Rigidity Related to Group Actions and Arithmetics, Measure Theory and Geometric Topology in Dynamics

OpenAlex ID: W4402376547

FWCI:

Cites: 15

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Related to: 10