On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree
type: Item
instance of: scholarly article
title: On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree
zbMATH Open document ID: 1413.46067
author: Farruh Mukhamedov
author: Otabek Khakimov
published in: Mathematical Physics, Analysis and Geometry
publication date: 2018-08-27T00:00:00Z
Mathematics Subject Classification ID: 46S10
Mathematics Subject Classification ID: 82B26
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 6925325
zbMATH Keywords: \(p\)-adic numbers
zbMATH Keywords: Ising model
zbMATH Keywords: \(p\)-adic quasi Gibbs measure
zbMATH Keywords: chaos
zbMATH Keywords: periodic
zbMATH Keywords: shift
MaRDI profile type: Publication
full work available at URL: s11040-017-9254-0
OpenAlex ID: W2762448502
Wikidata QID: Q121816017
cites work: Applied algebraic dynamics
cites work: \(p\)-adic repellers in \(\mathbb Q_p\) are subshifts of finite type
cites work: Gibbs measures and phase transitions
cites work: On a generalized \(p\)-adic Gibbs measure for Ising model on trees
cites work: On P-adic λ-model on the Cayley tree
cites work: Q4807840
cites work: Q4138813
cites work: Julia sets associated with the Potts model on the Bethe lattice and other recursively solved systems.
cites work: A dynamical system approach to phase transitions for \(p\)-adic Potts model on the Cayley tree of order two
cites work: On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree
cites work: Renormalization method in \(p\)-adic \(\lambda\)-model on the Cayley tree
cites work: On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions
cites work: Phase transition and chaos: \(p\)-adic Potts model on a Cayley tree
cites work: ON INHOMOGENEOUS p-ADIC POTTS MODEL ON A CAYLEY TREE
cites work: On equation \(x^q=a\) over \(\mathbb Q_p\)
cites work: Translation-invariant \(p\)-adic quasi-Gibbs measures for the Ising-Vannimenus model on a Cayley tree
cites work: \(p\)-adic Gibbs measures and Markov random fields on countable graphs
cites work: p-adic dynamics
cites work: Q4003475
cites work: p-adic Chaos and Random Number Generation
DOI: 10.1007/S11040-017-9254-0
description: scientific article; zbMATH DE number 6925325