Wandering domains in non-archimedean polynomial dynamics

dc.creatorBenedetto, Robert L.
dc.date2003-12-01
dc.date2006-02-15
dc.date.accessioned2026-07-07T06:35:50Z
dc.date.available2026-07-07T06:35:50Z
dc.descriptionWe extend a recent result on the existence of wandering domains of polynomial functions defined over the p-adic field C_p to any algebraically closed complete non-archimedean field C_K with residue characteristic p>0. We also prove that polynomials with wandering domains form a dense subset of a certain one-dimensional family of degree p+1 polynomials in C_K[z].
dc.descriptionminor changes, incorporating referee comments. Also added Figure 1 to clarify Lemma 3.1
dc.identifierhttps://arxiv.org/abs/math/0312029
dc.identifierhttp://arxiv.org/abs/math/0312029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99914
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject12J25 (Primary), 37F99 (Secondary)
dc.titleWandering domains in non-archimedean polynomial dynamics
dc.typetext

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