Poincare Series and instability of exponential maps

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dc.creatorMakienko, Peter
dc.creatorSienra, Guillermo
dc.date2005-06-08
dc.date.accessioned2026-07-07T05:20:36Z
dc.date.available2026-07-07T05:20:36Z
dc.descriptionWe relate the properties of the postsingular set for the exponential family to the questions of stability. We calculate the action of the Ruelle operator for the exponential family. We prove that if the asymptotic value is a summable point and its orbit satisfies certain topological conditions, the map is unstable hence there are no Beltrami differentials in the Julia set. Also we show that if the postsingular set is a compact set, then the singular value is summable.
dc.identifierhttps://arxiv.org/abs/math/0506143
dc.identifierhttp://arxiv.org/abs/math/0506143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75434
dc.subjectDynamical Systems
dc.subject37F10;37F30
dc.titlePoincare Series and instability of exponential maps
dc.typetext

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