Ising models, Julia sets, and similarity of the maximal entropy measures.
type: Item
instance of: scholarly article
title: Ising models, Julia sets, and similarity of the maximal entropy measures.
zbMATH Open document ID: 1080.82534
DOI: 10.1007/BF02183689
author: Yutaka Ishii
published in: Journal of Statistical Physics
publication date: 2001-01-16T00:00:00Z
Mathematics Subject Classification ID: 82B26
Mathematics Subject Classification ID: 37A60
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 82B28
zbMATH DE Number: 1553901
zbMATH Keywords: Ising models
zbMATH Keywords: diamondlike hierarchical lattices
zbMATH Keywords: renormalization groups
zbMATH Keywords: Julia sets
zbMATH Keywords: maximal entropy measures
zbMATH Keywords: fractal structure
Wikidata QID: Q123279318
MaRDI profile type: Publication
cites work: Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
cites work: Asymptotics of the susceptibility for the Ising model on the hierarchical lattices
cites work: Julia sets and complex singularities in hierarchical Ising models
cites work: Invariant sets under iteration of rational functions
cites work: An invariant measure for rational maps
cites work: On the uniqueness of the maximizing measure for rational maps
cites work: Q3322903
full work available at URL: https://doi.org/10.1007/bf02183689
OpenAlex ID: W2019114402
Recommended article: Q4350407
Recommended article: Julia sets and complex singularities in hierarchical Ising models
Recommended article: Ising models on the lattice Sierpiński gasket.
Recommended article: The Ising Model And The Rudin-Shapiro Sequence
Recommended article: Ising models on hyperbolic graphs. II
Recommended article: On Julia set and chaos in \(p\)-adic Ising model on the Cayley tree
Recommended article: Discrete Riemann surfaces and the Ising model.
Recommended article: Julia sets associated with the Potts model on the Bethe lattice and other recursively solved systems.
description: scientific article; zbMATH DE number 1553901