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Equidistribution in non-Archimedean parameter curves towards the activity measures

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Publication:2075288
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DOI10.3792/pjaa.97.011zbMath1490.37117OpenAlexW3203389535MaRDI QIDQ2075288

Reimi Irokawa, Yûsuke Okuyama

Publication date: 14 February 2022

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.97.011


zbMATH Keywords

equidistributionactivity measureanalitically marked pointanalytic family of morphismspotential theory on Berkovich curvesVarilon exceptional set


Mathematics Subject Classification ID

Dynamical systems on Berkovich spaces (37P50) Families and moduli spaces in arithmetic and non-Archimedean dynamical systems (37P45)




Cites Work

  • Quasiconformal homeomorphisms and dynamics. III: The Teichmüller space of a holomorphic dynamical system
  • Dynamics of rational maps: Lyapunov exponents, bifurcations, and capacity
  • Fekete configuration, quantitative equidistribution and wandering critical orbits in non-archimedean dynamics
  • Quantitative uniform distribution of points of small height on the projective line
  • On the structure of non-archimedean analytic curves
  • On the dynamics of rational maps
  • Some typical properties of the dynamics of rational maps
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