On the continuity of Hausdorff dimension of Julia sets concerning Potts models

DOI10.1155/2013/492356zbMath1280.37044OpenAlexW2007426177WikidataQ58995877 ScholiaQ58995877MaRDI QIDQ1952496

Yanyan Li

Publication date: 31 May 2013

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/492356

zbMATH Keywords

continuityJulia setsHausdorff dimensionPotts modelsstatistical mechanics

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Julia sets and complex singularities in hierarchical Ising models
• Hausdorff measures on Julia sets of subexpanding rational maps
• Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
• Julia set concerning Yang-Lee theorem
• Julia sets and complex singularities in diamond-like hierarchical Potts models
• On the continuity of Hausdorff dimension of Julia sets and similarity between the Mandelbrot set and Julia sets
• Feigenbaum Julia sets of singularities of free energy
• Julia and John revisited
• The components of a Julia set
• Jordan domain and Fatou set concerning diamond-like hierarchical Potts models
• Dynamics in One Complex Variable. (AM-160)
• On connectivity of Julia sets of Yang-Lee zeros

This page was built for publication: On the continuity of Hausdorff dimension of Julia sets concerning Potts models