Jarník and Julia; a Diophantine analysis for parabolic rational maps for Geometrically Finite Kleinian Groups with Parabolic Elements

DOI10.7146/math.scand.a-14377zbMath1019.37028OpenAlexW56325372WikidataQ120755456 ScholiaQ120755456MaRDI QIDQ4415589

Mariusz Urbański, Bernd O. Stratmann

Publication date: 6 August 2003

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-14377

zbMATH Keywords

Julia setHausdorff dimensionconformal measuresingular spectraJarník-Julia setparabolic rational map

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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