On buried points and phase transition points in the Julia sets concerning renormalization transformation

DOI10.1186/1687-1847-2014-239zbMath1345.37047OpenAlexW2105955817WikidataQ59323173 ScholiaQ59323173MaRDI QIDQ307253

Junyang Gao

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-239

zbMATH Keywords

phase transitionJulia setburied pointrenormalization transformation

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Renormalization of holomorphic dynamical systems (37F25)

Cites Work

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• Julia sets and complex singularities in hierarchical Ising models
• Topological complexity of Julia sets
• The buried points on the Julia sets of rational and entire functions
• Julia sets and complex singularities in diamond-like hierarchical Potts models
• Feigenbaum Julia sets of singularities of free energy
• On the residual Julia sets of rational functions
• Buried points in Julia sets
• The components of a Julia set
• Jordan domain and Fatou set concerning diamond-like hierarchical Potts models
• Dynamics in One Complex Variable. (AM-160)
• 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
• On the distribution and gap structure of Lee-Yang zeros for the Ising model: Periodic and aperiodic couplings