Hausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space

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dc.creatorCheung, Yitwah
dc.date2006-07-31
dc.date.accessioned2026-07-07T07:21:13Z
dc.date.available2026-07-07T07:21:13Z
dc.descriptionIn this paper we compute the Hausdorff dimension of the set D_n of points on divergent trajectories of the homogeneous flow induced by a certain one-parameter subgroup of G=SL(2,R) acting by left multiplication on the product space G^n/Gamma^n, where Gamma=SL(2,Z). We prove that the Hausdorff dimension of D_n equals 3n-(1/2) for any n greater than one.
dc.description25 pages, to appear in Ergodic Theory and Dynamical Systems
dc.identifierhttps://arxiv.org/abs/math/0608002
dc.identifierhttp://arxiv.org/abs/math/0608002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115226
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37A17; 11K40; 22E40; 11J70; 82C40
dc.titleHausdorff dimension of the set of points on divergent trajectories of a homogeneous flow on a product space
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