Subsequence Rational Ergodicity of Rank-One Transformations

2013/10/18 by Francisc Bozgan, Anthony Sanchez, Bozgan, Francisc +7
Computer Science · Mathematics · #37A05 (Secondary) #37A40 (Primary) #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1310.5084

openalex publication_date 2013/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that all rank-one transformations are subsequence boundedly rationally ergodic and that there exist rank-one transformations that are not weakly rationally ergodic.

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