Generalized Chacon polynomial constructions

2018/02/23 by Vladislav Slyusarev, Slyusarev, Vladislav
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1802.09372

openalex publication_date 2018/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a generalization of Chacon's classical automorphism and answer the question of whether its important properties remain. We calculate the family of polynimials representing the automorphism, given in recurrence formulae, and infer its basic characterictics, namely the palindromic property and the sequence of degrees.

Citations

• Minimal Self-Joinings, Bounded Constructions, and Weak Closure of Ergodic Actions

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