Amenability and measure of maximal entropy for semigroups of rational maps
Carlos Cabrera, Peter Makienko
TL;DR
This paper explores the connection between algebraic structures and dynamical behaviors of non-cyclic semigroups of rational maps, focusing on properties like amenability and measures of maximal entropy.
Contribution
It introduces new insights into how algebraic properties influence the dynamics of semigroups of rational maps, particularly regarding amenability and entropy measures.
Findings
Established links between amenability and entropy in semigroups
Characterized measure of maximal entropy for these semigroups
Provided conditions under which algebraic properties affect dynamics
Abstract
In this article we discuss relations between algebraic and dynamical properties of non-cyclic semigroups of rational maps.
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