Brolin's equidistribution theorem in \(p\)-adic dynamics.

DOI10.1016/j.crma.2004.06.023zbMath1052.37039arXivmath/0407469OpenAlexW2052446664MaRDI QIDQ1887022

Juan Rivera-Letelier, Charles Favre

Publication date: 23 November 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407469

zbMATH Keywords

iterationasymptotic distributionJulia set\(p\)-adic fieldrational mappingsequidistribution theoremmixing invariant probability measure

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Other nonanalytic theory (11S85)

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Cites Work

• Capacity theory on algebraic curves
• Examples of wandering domains in \(p\)-adic polynomial dynamics.
• The valuative tree
• Components and Periodic Points in Non-Archimedean Dynamics
• Closure of Periodic Points Over a Non-Archimedean Field
• Periodic points, multiplicities, and dynamical units.
• Dynamique des applications rationnelles des espaces multiprojectifs
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