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math.DS2010★ 1 cited
Lattice actions on the plane revisited
Francois Maucourant, Barak Weiss
We study the action of a lattice in the group SL(2,R) on the plane. We obtain a formula which simultaneously describes visits of an orbit to either a fixed ball, or an expanding or…
math.DS2010
Modified Schmidt games and a conjecture of Margulis
Dmitry Kleinbock, Barak Weiss
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…