Rigidity and non-local connectivity of Julia sets of some quadratic polynomials

DOI10.1007/s00220-011-1228-7zbMath1242.37031arXiv0710.4406OpenAlexW2021677269WikidataQ121401756 ScholiaQ121401756MaRDI QIDQ543356

Genadi Levin

Publication date: 17 June 2011

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

Full work available at URL: https://arxiv.org/abs/0710.4406

zbMATH Keywords

Julia setinfinitely renormalizablenon-locally connected

Mathematics Subject Classification ID

Related Items (8)

Accumulation set of critical points of the multipliers in the quadratic family ⋮ Critical Points of the Multiplier Map for the Quadratic Family ⋮ Complex bounds for real maps ⋮ No hyperbolic sets in \(J_{\infty}\) for infinitely renormalizable quadratic polynomials ⋮ Equidistribution of critical points of the multipliers in the quadratic family ⋮ Rigidity and non-local connectivity of Julia sets of some quadratic polynomials ⋮ Hairy Cantor sets ⋮ Quasi-conformal rigidity of multicritical maps

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