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Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms

2024/04/05 by Ruihao Gu, Wenchao Li, Gu, Ruihao +1
Mathematics · Physics and Astronomy · #37D20 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2404.04196

openalex publication_date 2024/04/05 · openalex created_date 2024/04/09 · openalex updated_date 2026/07/28

Abstract

Under some non-invertibility and irreducibility condition, for nilmanifold Anosov maps with one-dimensional stable bundle, we get the equivalence among the existence of invariant unstable bundle, the existence of topological conjugacy to its linear part, and a constant periodic stable Lyapunov exponent.

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