Brownian motion and the equilibrium measure on the Julia set of a rational mapping

DOI10.1214/aop/1176989536zbMath0770.58020OpenAlexW2003830543WikidataQ123214532 ScholiaQ123214532MaRDI QIDQ1203662

Steven P. Lalley

Publication date: 22 February 1993

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176989536

zbMATH Keywords

Brownian motioncapacityJulia setequilibrium measurerational mappingscomplex analytic dynamics

Mathematics Subject Classification ID

Brownian motion (60J65) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Ergodic theory (37A99)

Related Items (4)

On a characterization of polynomials among rational functions in non-Archimedean dynamics ⋮ Potential theory and a characterization of polynomials in complex dynamics ⋮ Limit functions of discrete dynamical systems ⋮ A generalization of the converse of Brolin’s theorem

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