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arXiv:1501.05409 [math.DS]AbstractReferencesReviewsResources

Bounded orbits of diagonalizable flows on $\rm{SL}_3(\mathbb{R})/\rm{SL}_3(\mathbb{Z})$

Jinpeng An, Lifan Guan, Dmitry Kleinbock

Published 2015-01-22Version 1

We prove that for any countably many one-parameter diagonalizable subgroups $F_n$ of $\rm{SL}_3(\mathbb{R})$, the set of $\Lambda\in\rm{SL}_3(\mathbb{R})/\rm{SL}_3(\mathbb{Z})$ such that all the orbits $F_n\Lambda$ are bounded has full Hausdorff dimension.

Comments: 20 pages
Categories: math.DS
Subjects: 37A17, 11J13
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