Geometric Expansions, Lyapunov Exponents and Foliations

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dc.creatorSaghin, Radu
dc.creatorXia, Zhihong
dc.date2006-11-11
dc.date.accessioned2026-07-07T07:32:46Z
dc.date.available2026-07-07T07:32:46Z
dc.descriptionWe consider hyperbolic and partially hyperbolic diffeomorphisms on compact manifolds. Associated with invariant foliation of these systems, we define some topological invariants and show certain relationships between these topological invariants and the geometric and Lyapunov growths of these foliations. As an application, we show examples of systems with persistent non- absolute continuous center and weak unstable foliations. This generalizes the remarkable results of Shub and Wilkinson to cases where the center manifolds are not compact.
dc.identifierhttps://arxiv.org/abs/math/0611324
dc.identifierhttp://arxiv.org/abs/math/0611324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119227
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject37C40; 37D30; 37D20; 37D25
dc.titleGeometric Expansions, Lyapunov Exponents and Foliations
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