Amenability and measure of maximal entropy for semigroups of rational maps

DOI10.4171/GGD/627zbMath1491.37045arXiv1912.03377OpenAlexW3204346252MaRDI QIDQ2076069

Carlos Cabrera, Peter M. Makienko

Publication date: 18 February 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03377

zbMATH Keywords

semigroupsamenabilitymeasure of maximal entropyrational dynamics

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Means on groups, semigroups, etc.; amenable groups (43A07) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Related Items (4)

On amenable semigroups of rational functions ⋮ Tame rational functions: decompositions of iterates and orbit intersections ⋮ On amenability and measure of maximal entropy for semigroups of rational maps: II ⋮ Irreducible polynomials in quadratic semigroups

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