Combinatorics and topology of straightening maps. I: Compactness and bijectivity

DOI10.1016/j.aim.2012.07.014zbMath1333.37042arXiv0809.1262OpenAlexW2963105702WikidataQ122712403 ScholiaQ122712403MaRDI QIDQ715213

Jan Kiwi, Hiroyuki Inou

Publication date: 2 November 2012

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

Full work available at URL: https://arxiv.org/abs/0809.1262

zbMATH Keywords

complex dynamicsrenormalizationsconnectedness locistraightening maps

Mathematics Subject Classification ID

Related Items (13)

On critical renormalization of complex polynomials ⋮ Upper bounds for the moduli of polynomial-like maps ⋮ Straightening maps for polynomials with one bounded critical orbit ⋮ Cubic polynomial maps with periodic critical orbit, Part II: Escape regions ⋮ Parabolic arcs of the multicorns: real-analyticity of Hausdorff dimension, and singularities of \(\mathrm{Per}_n(1)\) curves ⋮ Unnamed Item ⋮ Combinatorics and topology of straightening maps. I: Compactness and bijectivity ⋮ Polynomial basins of infinity ⋮ Extending local analytic conjugacies ⋮ Self-Similarity for the Tricorn ⋮ Primitive tuning via quasiconformal surgery ⋮ Location of Siegel capture polynomials in parameter spaces ⋮ Discontinuity of Straightening in Anti-holomorphic Dynamics: I

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