Modified Schmidt games and a conjecture of Margulis

Details Modified Schmidt games and a conjecture of Margulis Modified Schmidt games and a conjecture of Margulis

2010-01-27

arxiv.org/abs/1001.5017v2

Mathematics

Dynamical Systems

37 pages, a revised version

Scientific paper

We prove a conjecture of G.A. Margulis on the abundance of certain
exceptional orbits of partially hyperbolic flows on homogeneous spaces by
utilizing a theory of modified Schmidt games, which are modifications of
$(\alpha,\beta)$-games introduced by W. Schmidt in mid-1960s.

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