Hausdorff dimension of Julia sets of unicritical correspondences

DOI10.1090/proc/16125OpenAlexW3039039864WikidataQ123189985 ScholiaQ123189985MaRDI QIDQ5055622

Carlos Alberto Siqueira Lima

Publication date: 9 December 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16519

zbMATH Keywords

Julia setpressure functionholomorphic correspondence

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Cites Work

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• Hausdorff dimension of quasi-circles
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• On the continuity of Hausdorff dimension of Julia sets and similarity between the Mandelbrot set and Julia sets
• The Hausdorff dimension of the Smale-Williams solenoid with different contraction coefficients
• Correspondences in Complex Dynamics
• Repellers for real analytic maps
• Dynamics of hyperbolic correspondences
• Holomorphic motions for unicritical correspondences

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