Sur les points périodiques des applications rationnelles en dynamique ultramétrique

DOI10.4064/aa100-1-5zbMath1025.11035OpenAlexW2050977059MaRDI QIDQ2759145

Jean-Paul Bézivin

Publication date: 11 December 2001

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/aa/Inf/100-1-5.html

zbMATH Keywords

Julia setperiodic points\(p\)-adic polynomials\(p\)-adic rational functions

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Algebraic number theory: local fields (11S99)

Related Items (13)

Berkovich dynamics of Newton maps ⋮ An Ahlfors Islands Theorem for non-archimedean meromorphic functions ⋮ Dynamics of quadratic polynomials over local fields ⋮ On hyperbolic fixed points in ultrametric dynamics ⋮ Preperiodic points of polynomials over global fields ⋮ On the Julia and Fatou sets of ultrametric entire functions ⋮ Configuration of the crucial set for a quadratic rational map ⋮ Nonarchimedean Green functions and dynamics on projective space ⋮ Book Review: The arithmetic of dynamical systems ⋮ Current trends and open problems in arithmetic dynamics ⋮ Noncommutative algebraic dynamics: ergodic theory for profinite groups ⋮ -stability of expanding maps in non-Archimedean dynamics ⋮ Examples of wandering domains in \(p\)-adic polynomial dynamics.

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