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arXiv:math/0608002 [math.DS]AbstractReferencesReviewsResources

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

Yitwah Cheung

Published 2006-07-31Version 1

In 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.

Comments: 25 pages, to appear in Ergodic Theory and Dynamical Systems
Categories: math.DS, math-ph, math.MP
Subjects: 37A17, 11K40, 22E40, 11J70, 82C40
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