Dynamics of quadratic polynomials over local fields
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Publication:933194
DOI10.5802/jtnb.589zbMath1197.37144OpenAlexW2059210667MaRDI QIDQ933194
Jean-Yves Briend, Hervé Perdry, Robert L. Benedetto
Publication date: 21 July 2008
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/45199
Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20) Polynomials (11S05) Non-Archimedean Fatou and Julia sets (37P40)
Related Items (6)
Preperiodic points with local rationality conditions in the quadratic unicritical family ⋮ Haar measures and Hausdorff dimensions of 𝑝-adic Julia sets ⋮ On two affine-like dynamical systems in a local field ⋮ Non-Archimedean Hénon maps, attractors, and horseshoes ⋮ Attractors associated to a family of hyperbolic -adic plane automorphisms ⋮ Common preperiodic points for quadratic polynomials
Cites Work
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- p-adic dynamics
- Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
- On the compactness of Julia sets of \(p\)-adic polynomials
- Almost every real quadratic map is either regular or stochastic.
- Brolin's equidistribution theorem in \(p\)-adic dynamics.
- Polynomial mappings
- Periodic points on an algebraic variety
- Sur les points périodiques des applications rationnelles en dynamique ultramétrique
- Closure of Periodic Points Over a Non-Archimedean Field
- p-adic semi-algebraic sets and cell decomposition.
- p-adic Chaos and Random Number Generation
- Polynomial cycles in certain local domains
- Periodic points, multiplicities, and dynamical units.
- On ap-adic Julia set
- Canonical heights, transfinite diameters, and polynomial dynamics
- Non-computable Julia sets
- Reduction, dynamics, and Julia sets of rational functions
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