On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems

DOI10.1080/14689367.2016.1158241zbMath1392.37112OpenAlexW2327132249MaRDI QIDQ5506792

Farrukh Mukhamedov, Otabek Khakimov

Publication date: 16 December 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2016.1158241

zbMATH Keywords

contractioninvariant measurefractalnon-Archimedean fieldunconventional limit set

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Difference operators (39A70) Dynamical systems over non-Archimedean local ground fields (37P20) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (7)

The p-adic Theory of Automata Functions ⋮ Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points ⋮ On dynamics of infinitely generated contractive mapping systems on \(p \mathbb{Z}_p\) ⋮ Ergodicity and periodic orbits of \(p\)-adic \((1,2)\)-rational dynamical systems with two fixed points ⋮ \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point

Cites Work

• Unnamed Item
• Unnamed Item
• On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree
• On non-Archimedean recurrence equations and their applications
• Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree
• On a class of rational \(p\)-adic dynamical systems
• \(p\)-adic repellers in \(\mathbb Q_p\) are subshifts of finite type
• On \(p\)-adic mathematical physics
• Number theory as the ultimate physical theory
• A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two
• On a nonlinear \(p\)-adic dynamical system
• On metric properties of limit sets of contractive analytic non-Archimedean dynamical systems
• Recurrence equations over trees in a non-Archimedean context
• Strict ergodicity of affine \(p\)-adic dynamical systems on \(\mathbb Z_p\)
• Hyperbolic maps in p-adic dynamics
• The Poincaré Metric of Plane Domains
• p-adic Chaos and Random Number Generation
• Uniformly Perfect Sets and Quasiregular Mappings
• ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS
• Onp-adic Gibbs measures of the countable state Potts model on the Cayley tree
• Reduction, dynamics, and Julia sets of rational functions

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