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arxiv: 1001.5017 · v2 · pith:7AQZ3USVnew · submitted 2010-01-27 · 🧮 math.DS · math.NT

Modified Schmidt games and a conjecture of Margulis

Dmitry Kleinbock , Barak Weiss This is my paper
classification 🧮 math.DS math.NT
keywords gamesschmidtconjecturemargulismodifiedabundancealphabeta
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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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