Continuity of Julia set and its Hausdorff dimension of Yang-Lee zeros

DOI10.1016/j.jmaa.2011.01.016zbMath1222.37043OpenAlexW2068323430WikidataQ123010287 ScholiaQ123010287MaRDI QIDQ633658

Junyang Gao, Jianyong Qiao

Publication date: 29 March 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.016

zbMATH Keywords

continuityHausdorff dimensionJunia setrenormalization transformations

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (2)

Tutte polynomial of scale-free networks ⋮ q-plane zeros of the Potts partition function on diamond hierarchical graphs

Cites Work

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• On Julia sets concerning phase transitions
• 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
• On the continuity of Hausdorff dimension of Julia sets and similarity between the Mandelbrot set and Julia sets
• The components of a Julia set
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
• On connectivity of Julia sets of Yang-Lee zeros

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