Topological pressure for one-dimensional holomorphic dynamical systems

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dc.creatorGelfert, Katrin
dc.creatorWolf, Christian
dc.date2007-05-31
dc.date.accessioned2026-07-07T08:03:43Z
dc.date.available2026-07-07T08:03:43Z
dc.descriptionFor a class of one-dimensional holomorphic maps f of the Riemann sphere we prove that for a wide class of potentials h the topological pressure is entirely determined by the values of h on the repelling periodic points of f. This is a version of a classical result of Bowen for hyperbolic diffeomorphisms in the holomorphic non-uniformly hyperbolic setting.
dc.identifierhttps://arxiv.org/abs/0705.4572
dc.identifierhttp://arxiv.org/abs/0705.4572
dc.identifierBull. Polish Acad. Sci. Math. 55 (2007), 53-62
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129679
dc.subjectDynamical Systems
dc.subject37F10, 37D25, 37D35, 28D20
dc.titleTopological pressure for one-dimensional holomorphic dynamical systems
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