On rational functions sharing the measure of maximal entropy

DOI10.1007/s40598-020-00141-zzbMath1485.39033arXiv1910.07363OpenAlexW3023275306MaRDI QIDQ823785

Fedor Pakovitch

Publication date: 16 December 2021

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07363

zbMATH Keywords

rational functionsfunctional equationsmeasure of maximal entropy

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Topological entropy (37B40)

Related Items (4)

On amenable semigroups of rational functions ⋮ Tame rational functions: decompositions of iterates and orbit intersections ⋮ Amenability and measure of maximal entropy for semigroups of rational maps ⋮ Common preperiodic points for quadratic polynomials

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