On Rational Functions Sharing the Measure of Maximal Entropy

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Abstract

We show that describing rational functions f1, f2, ⋯ , fn sharing the measure of maximal entropy reduces to describing solutions of the functional equation A∘ X1= A∘ X2= ⋯ = A∘ Xn in rational functions. We also provide some results about solutions of this equation.

Original languageEnglish
Pages (from-to)387-396
Number of pages10
JournalArnold Mathematical Journal
Volume6
Issue number3-4
DOIs
StatePublished - 1 Dec 2020

Keywords

  • Functional equations
  • Measure of maximal entropy
  • Rational functions

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