-adic monomial equations and their perturbations

DOI10.1070/IM8821zbMath1457.11162arXiv1909.04287MaRDI QIDQ5112468

Otabek Khakimov, Farrukh Mukhamedov

Publication date: 29 May 2020

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04287

zbMATH Keywords

rational function\(p\)-adic numbersmonomial equation

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Polynomials (11S05) Formally (p)-adic fields (12J12)

Related Items (9)

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ The long-term behavior of the \(p\)-adic Sigmoid Beverton-Holt dynamical systems in the projective line \(\mathbb{P}^1 (\mathbb{Q}_p)\) ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ The description of generalized translation-invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three ⋮ Periodic points of a \(p\)-adic operator and their \(p\)-adic Gibbs measures ⋮ p$$ p $$‐Adic phase transitions for countable state Potts model ⋮ On \(G_2\)-periodic quasi Gibbs measures of \(p\)-adic Potts model on a Cayley tree ⋮ On periodic \(p\)-adic generalized Gibbs measures for Ising model on a Cayley tree

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