Sharing a Measure of Maximal Entropy in Polynomial Semigroups

Research output: Contribution to journalArticlepeer-review

Abstract

Let \P1,P2,\ Pk\ 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 \P1,P2,\ Pk\. We show that all elements of \S\ share a measure of maximal entropy if and only if the intersection of principal left ideals \SP1\cap SP2\cap \dots \cap SPk\ is non-empty.
Original languageEnglish
JournalInternational Mathematics Research Notices
Issue numberrnab076
DOIs
StatePublished - 1 May 2021

Fingerprint

Dive into the research topics of 'Sharing a Measure of Maximal Entropy in Polynomial Semigroups'. Together they form a unique fingerprint.

Cite this