Fixed Point of the Parabolic Renormalization Operator

DOI10.1007/978-3-319-11707-2zbMath1342.37051arXiv1108.2801OpenAlexW1948639055MaRDI QIDQ3191519

Michael Yampolsky, Oscar E. III Lanford

Publication date: 2 October 2014

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2801

zbMATH Keywords

parabolic renormalization

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) Renormalization of holomorphic dynamical systems (37F25)

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Near parabolic renormalization for unicritical holomorphic maps ⋮ A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type

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