Rescaling limits of complex rational maps

DOI10.1215/00127094-2916431zbMath1347.37089arXiv1211.3397OpenAlexW1605494850MaRDI QIDQ2352766

Jan Kiwi

Publication date: 6 July 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3397

zbMATH Keywords

complex dynamicsrational mapsmoving framesparameter spacesBerkovich projective linerescaling limits

Mathematics Subject Classification ID

Related Items (18)

Degenerations of complex dynamical systems. II: Analytic and algebraic stability ⋮ On geometrically finite degenerations II: convergence and divergence ⋮ Topology and geometry of the Berkovich ramification locus for rational functions. I ⋮ Bounded hyperbolic components of bicritical rational maps ⋮ Indeterminacy loci of iterate maps in moduli space ⋮ Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics ⋮ On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps ⋮ On hyperbolic rational maps with finitely connected Fatou sets ⋮ Quasi-adelic measures and equidistribution on ⋮ Berkovich dynamics of Newton maps ⋮ Boundedness of hyperbolic components of Newton maps ⋮ Dipoles and pixie dust ⋮ Rescaling limits in non-Archimedean dynamics ⋮ Puiseux series dynamics of quadratic rational maps ⋮ Limits of rational maps, \(\mathbb{R}\)-trees and barycentric extension ⋮ Rationality of dynamical canonical height ⋮ Trees, length spectra for rational maps via barycentric extensions, and Berkovich spaces ⋮ DEGENERATIONS OF COMPLEX DYNAMICAL SYSTEMS

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