Sharing a measure of maximal entropy in polynomial semigroups

Autor:	Pakovich, Fedor
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems Mathematics - Complex Variables Mathematics - Rings and Algebras
Druh dokumentu:	Working Paper
Popis:	Let $P_1,P_2,\dots, P_k$ be complex polynomials of degree at least two that are not simultaneously conjugate to monomials or to Chebyshev polynomials, and $S$ the semigroup under composition generated by $P_1,P_2,\dots, P_k$. We show that all elements of $S$ share a measure of maximal entropy if and only if the intersection of principal right ideals $SP_1\cap SP_2\cap \dots \cap SP_k$ is non-empty. Comment: Polished version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.12261 Zobrazit plný text záznamu View this record from Arxiv