Rational functions with identical measure of maximal entropy

DOI10.1016/j.aim.2014.10.001zbMath1351.37187arXiv1211.4303OpenAlexW2963911550MaRDI QIDQ471687

He-Xi Ye

Publication date: 17 November 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4303

zbMATH Keywords

rational functionsperiodic pointsmaximal measure

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (11)

Symmetries of Julia sets for rational maps ⋮ On rational functions sharing the measure of maximal entropy ⋮ The relative Riemann–Hurwitz formula ⋮ On amenable semigroups of rational functions ⋮ Extensions of absolute values on two subfields ⋮ Tame rational functions: decompositions of iterates and orbit intersections ⋮ On amenability and measure of maximal entropy for semigroups of rational maps: II ⋮ Dynamics on ℙ¹: preperiodic points and pairwise stability ⋮ Amenability and measure of maximal entropy for semigroups of rational maps ⋮ Common preperiodic points for quadratic polynomials ⋮ When do two rational functions have locally biholomorphic Julia sets?

Cites Work

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• Preperiodic points and unlikely intersections
• Solving the quintic by iteration
• Invariant sets under iteration of rational functions
• Symmetries on the Julia set
• Potential theory and a characterization of polynomials in complex dynamics
• Symmetries of Julia Sets
• An invariant measure for rational maps
• On the uniqueness of the maximizing measure for rational maps
• A problem of Julia sets
• Poiynomials with identical Julia sets
• When do two rational functions have the same Julia set?
• The Equation f(X) = f(Y) in Rational Functions X = X(t), Y = Y(t)
• The Polynomials Associated with a Julia Set
• Letter to the editor: On symmetries on a Julia set.

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