Theoreme d'equidistribution de Brolin en dynamique p-adique

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dc.creatorFavre, Charles
dc.creatorRivera-Letelier, Juan
dc.date2004-07-27
dc.date.accessioned2026-07-07T05:10:45Z
dc.date.available2026-07-07T05:10:45Z
dc.descriptionWe prove an analog of the famous equidistribution theorem of Brolin for rational mappings in one variable defined over the p-adic field C_p. We construct a mixing invariant probability measure which describes the asymptotic distribution of iterated preimages of a given point. This measure is supported on the Berkovich space associated to the projective line over C_p. We show that its support is precisely the Julia set as defined by Rivera-Letelier. Our results are based on the construction of a Laplace operator on real trees with arbitrary number of branching as done by Favre-Jonsson.
dc.description7 pages, accepted in the Comptes Rendus de l'Academie des Sciences
dc.identifierhttps://arxiv.org/abs/math/0407469
dc.identifierhttp://arxiv.org/abs/math/0407469
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72025
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37F10; 11S80
dc.titleTheoreme d'equidistribution de Brolin en dynamique p-adique
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