Entropy via multiplicity

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dc.creatorKruglikov, Boris
dc.creatorRypdal, Martin
dc.date2005-05-02
dc.date2005-09-30
dc.date.accessioned2026-07-07T06:19:53Z
dc.date.available2026-07-07T06:19:53Z
dc.descriptionThe topological entropy of piecewise affine maps is studied. It is shown that singularities may contribute to the entropy only if there is angular expansion and we bound the entropy via the expansion rates of the map. As a corollary we deduce that non-expanding conformal piecewise affine maps have zero topological entropy. We estimate the entropy of piecewise affine skew-products. Examples of abnormal entropy growth are provided.
dc.descriptionExamples refined
dc.identifierhttps://arxiv.org/abs/math/0505019
dc.identifierhttp://arxiv.org/abs/math/0505019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95180
dc.subjectDynamical Systems
dc.subject37B40
dc.titleEntropy via multiplicity
dc.typetext

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