On Rational Functions Sharing the Measure of Maximal Entropy

F. Pakovich

doi:10.1007/s40598-020-00141-z

On Rational Functions Sharing the Measure of Maximal Entropy

F. Pakovich

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	American English
Pages (from-to)	387-396
Number of pages	10
Journal	Arnold Mathematical Journal
Volume	6
Issue number	3-4
DOIs	https://doi.org/10.1007/s40598-020-00141-z
State	Published - 1 Dec 2020

Keywords

Functional equations
Measure of maximal entropy
Rational functions

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s40598-020-00141-z

Cite this

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title = "On Rational Functions Sharing the Measure of Maximal Entropy",

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.",

keywords = "Functional equations, Measure of maximal entropy, Rational functions",

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AB - 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.

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On Rational Functions Sharing the Measure of Maximal Entropy

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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