Modified schmidt games and a conjecture of margulis

Dmitry Kleinbock; Barak Weiss

doi:10.3934/jmd.2013.7.429

Modified schmidt games and a conjecture of margulis

Dmitry Kleinbock, Barak Weiss

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

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 (α, β)-games introduced by W. Schmidt in mid-1960s.

Original language	English
Pages (from-to)	429-460
Number of pages	32
Journal	Journal of Modern Dynamics
Volume	7
Issue number	3
DOIs	https://doi.org/10.3934/jmd.2013.7.429
State	Published - 24 Dec 2013

Keywords

Conjecture of margulis
Homogeneous spaces
Partially hyperbolic flows
Schmidt games

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.3934/jmd.2013.7.429

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title = "Modified schmidt games and a conjecture of margulis",

abstract = "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 (α, β)-games introduced by W. Schmidt in mid-1960s.",

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author = "Dmitry Kleinbock and Barak Weiss",

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Modified schmidt games and a conjecture of margulis

Abstract

Keywords

ASJC Scopus subject areas

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