Equidistribution of orbits at polynomial times in rigid dynamical systems

2025/01/09 by Kosma Kasprzak, Kasprzak, Kosma · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Control and Dynamics of Mobile Robots #Dynamical Systems (math.DS) #FOS: Mathematics #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2501.05538

openalex publication_date 2025/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study distribution of orbits sampled at polynomial times for uniquely ergodic topological dynamical systems (X, T). First, we prove that if there exists an increasing sequence (q_n) for which the rigidity condition \[ max_t1 a much weaker rigidity condition \[ max_t

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