A note on \(\delta\)-equilibrium measures for rational maps

DOI10.1007/BF01215258zbMath0668.58030MaRDI QIDQ1118229

Artur Oscar Lopes

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174089

zbMATH Keywords

potential theoryJulia setequilibrium measureGibbs state

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Generalizations of potential theory (31C99) Two-dimensional potential theory (31A99)

Related Items (1)

A first-order level-2 phase transition in thermodynamic formalism

Cites Work

• The dimension of the maximal measure for a polynomial map
• Mellin transforms associated with Julia sets and physical applications
• Continuity properties of entropy
• Invariant sets under iteration of rational functions
• A remark on a theorem by Frostman
• On convergent and divergent sequences of equilibrium distributions
• An invariant measure for rational maps
• Equilibrium measures for rational maps
• Repellers for real analytic maps
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