Singular values and bounded Siegel disks
Benini, Anna Miriam (Università di Tor Vergata. Dipartimento di Matematica)
Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)

Date:	2018
Abstract:	Let f be an entire transcendental function of finite order and Δ be a forward invariant bounded Siegel disk for f with rotation number in Herman's class H. We show that if f has two singular values with bounded orbit, then the boundary of Δ contains a critical point. We also give a criterion under which the critical point in question is recurrent. We actually prove a more general theorem with less restrictive hypotheses, from which these results follow.
Grants:	European Commission 277691 Ministerio de Ciencia e Innovación MTM2011-26995-C02-02 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-555 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-792
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Siegel disks
Published in:	Mathematical proceedings of the Cambridge Philosophical Society, Vol. 165, issue 2 (Sep. 2018) , p. 249-265, ISSN 0305-0041

DOI: 10.1017/S0305004117000469

Postprint 18 p, 337.6 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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