Thin triangles and a multiplicative ergodic theorem for Teichmüller geometry

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dc.creatorDuchin, Moon
dc.date2005-08-01
dc.date.accessioned2026-07-07T05:22:10Z
dc.date.available2026-07-07T05:22:10Z
dc.descriptionWe show that, in the Teichmüller metric, "thin-framed triangles are thin"---that is, under suitable hypotheses, the variation of geodesics obeys a hyperbolic-like inequality. This theorem has applications to the study of random walks on Teichmüller space. In particular, an application is worked out for the action of the mapping class group: we show that geodesics track random walks sublinearly.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0508046
dc.identifierhttp://arxiv.org/abs/math/0508046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75956
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject30F60; 37A30
dc.titleThin triangles and a multiplicative ergodic theorem for Teichmüller geometry
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