Semigroups of rational functions: some problems and conjectures

2021/10/04 by Fedor Pakovich, Pakovich, Fedor · 1 citation
Computer Science · Mathematics · #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Dynamics and Fractals #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2110.01507

openalex publication_date 2021/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulate some problems and conjectures about semigroups of rational functions under composition. The considered problems arise in different contexts, but most of them are united by a certain relationship to the concept of amenability.

Citations

• A Tits alternative for rational functions

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