Rigorous bounds on the Hausdorff dimension of Siegel disc boundaries

DOI10.1007/s002200050507zbMath0996.37058OpenAlexW2117208215MaRDI QIDQ1300448

Andreas Stirnemann, Andrew H. Osbaldestin, Andrew Burbanks

Publication date: 25 April 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050507

zbMATH Keywords

upper boundsHausdorff dimensioniterated function systemrenormalization schemeboundary curvesrenormalization operatorcritical renormalization fixed pointSiegel disk of maps

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Renormalization of holomorphic dynamical systems (37F25)

Related Items (1)

Boundaries of Siegel disks: Numerical studies of their dynamics and regularity

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