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

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

8 Scopus citations

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	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

ASJC Scopus subject areas

General Mathematics

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10.1007/s40598-020-00141-z

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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",

author = "F. Pakovich",

note = "Publisher Copyright: {\textcopyright} 2020, Institute for Mathematical Sciences (IMS), Stony Brook University, NY.",

year = "2020",

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doi = "10.1007/s40598-020-00141-z",

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N2 - 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.

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.

KW - Functional equations

KW - Measure of maximal entropy

KW - Rational functions

UR - https://www.scopus.com/pages/publications/85085120624

U2 - 10.1007/s40598-020-00141-z

DO - 10.1007/s40598-020-00141-z

M3 - Article

AN - SCOPUS:85085120624

SN - 2199-6792

VL - 6

SP - 387

EP - 396

JO - Arnold Mathematical Journal

JF - Arnold Mathematical Journal

IS - 3-4

ER -

On Rational Functions Sharing the Measure of Maximal Entropy

Abstract

Keywords

ASJC Scopus subject areas

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