On the classification of laminations associated to quadratic polynomials

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dc.creatorCabrera, Carlos
dc.date2007-03-06
dc.date.accessioned2026-07-07T07:50:27Z
dc.date.available2026-07-07T07:50:27Z
dc.descriptionGiven any rational map $f$, there is a lamination by Riemann surfaces associated to $f$. Such laminations were constructed in general by Lyubich and Minsky. In this paper, we classify laminations associated to quadratic polynomials with periodic critical point. In particular, we prove that the topology of such laminations determines the combinatorics of the parameter. We also describe the topology of laminations associated to other types of quadratic polynomials.
dc.identifierhttps://arxiv.org/abs/math/0703159
dc.identifierhttp://arxiv.org/abs/math/0703159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125168
dc.subjectDynamical Systems
dc.subject37B45;37F20;37F45;37F50;37F10;46M40
dc.titleOn the classification of laminations associated to quadratic polynomials
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