Periodic data rigidity of Anosov automorphisms with Jordan blocks

Abstract Anosov automorphisms with Jordan blocks are not periodic data rigid. We introduce a refinement of the periodic data and show that this refined periodic data characterizes $C^{1+}$ conjugacy for Anosov automorphisms on $\mathbb {T}^4$ with a Jordan block.

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Publication Details

Journal
Ergodic Theory and Dynamical Systems
Published
2024-11-19
DOI
https://doi.org/10.1017/etds.2024.56
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00
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article

Periodic data rigidity of Anosov automorphisms with Jordan blocks

Jonathan DeWitt
Ergodic Theory and Dynamical Systems
Mathematical Dynamics and Fractals
article

Periodic data rigidity of Anosov automorphisms with Jordan blocks

Jonathan DeWitt
article en

Abstract

Abstract Anosov automorphisms with Jordan blocks are not periodic data rigid. We introduce a refinement of the periodic data and show that this refined periodic data characterizes $C^{1+}$ conjugacy for Anosov automorphisms on $\mathbb {T}^4$ with a Jordan block.

Ergodic Theory and Dynamical SystemsVol. 45(4)
University of Maryland, College Park (US)
Openalex Percentile: Top 65%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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Periodic data rigidity of Anosov automorphisms with Jordan blocks — Jonathan DeWitt · Ergodic Theory and Dynamical Systems (2024) | TGRS Research Map | TGRS