Ising models, Julia sets, and similarity of the maximal entropy measures.

DOI10.1007/BF02183689zbMath1080.82534OpenAlexW2019114402WikidataQ123279318 ScholiaQ123279318MaRDI QIDQ1593186

Yutaka Ishii

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02183689

zbMATH Keywords

Julia setsIsing modelsfractal structuremaximal entropy measuresrenormalization groupsdiamondlike hierarchical lattices

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical aspects of statistical mechanics (37A60)

Related Items (2)

A general renormalization procedure on the one-dimensional lattice and decay of correlations ⋮ Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation

Cites Work

• Unnamed Item
• Asymptotics of the susceptibility for the Ising model on the hierarchical lattices
• Julia sets and complex singularities in hierarchical Ising models
• Invariant sets under iteration of rational functions
• An invariant measure for rational maps
• On the uniqueness of the maximizing measure for rational maps
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

This page was built for publication: Ising models, Julia sets, and similarity of the maximal entropy measures.