The dual nest for degenerate Yoccoz puzzles

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dc.creatorAspenberg, Magnus
dc.date2009-04-08
dc.date.accessioned2026-07-07T13:01:44Z
dc.date.available2026-07-07T13:01:44Z
dc.descriptionThe Yoccoz puzzle is a fundamental tool in Holomorphic Dynamics. The original combinatorial argument by Yoccoz, based on the Branner-Hubbard tableau, counts the preimages of a non-degenerate annulus in the puzzle. However, in some important new applications of the puzzle (notably, matings of quadratic polynomials) there is no non-degenerate annulus. We develop a general combinatorial argument to handle this situation. It allows to derive corollaries, such as the local connectedness of the Julia set, for suitable families of rational maps.
dc.description9 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0904.1357
dc.identifierhttp://arxiv.org/abs/0904.1357
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226244
dc.subjectDynamical Systems
dc.titleThe dual nest for degenerate Yoccoz puzzles
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