Slowly divergent geodesics in moduli space

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dc.creatorCheung, Y.
dc.date2005-01-19
dc.date.accessioned2026-07-07T05:16:11Z
dc.date.available2026-07-07T05:16:11Z
dc.descriptionSlowly divergent geodesics in the moduli space of Riemann surfaces of genus at least 2 are constructed via cyclic branched covers of the torus. Nonergodic examples (i.e. geodesics whose defining quadratic differential has nonergodic vertical foliation) diverging to infinity at sublinear rates are constructed using a Diophantine condition. Examples with an arbitrarily slow prescribed growth rate are also exhibited.
dc.description26 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0501295
dc.identifierhttp://arxiv.org/abs/math/0501295
dc.identifierConformal Geometry & Dynamics. 8 (2004) 167-189
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73891
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37D40 (Primary) 11P21 (Secondary)
dc.titleSlowly divergent geodesics in moduli space
dc.typetext

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