Modified Schmidt games and a conjecture of Margulis
By Dmitry Kleinbock, Barak Weiss. 2010
55 citations recorded by the source corpus.
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.
Subfields: Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f99187242f6f4ec39dd5d5bda26bc3b466545540
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In Mathematical Physics
Citations in the corpus
- Two-dimensional badly approximable vectors and Schmidt's game (2012, background): “In a much more general context, the winning property for sets of this form with respect to a modified Schmidt game was established in [13].”