153 citations · 202 across the 20 of their papers we have counts for
22 papers
Effective discreteness radius of stabilisers for stationary actions
Tsachik Gelander, Arie Levit, Gregory Margulis
We prove an effective variant of the Kazhdan-Margulis theorem generalized to stationary actions of semisimple groups over local fields: the probability that the stabilizer of a ran…
The Auslander conjecture for dimension less then 7
H. Abels, G. A. Margulis, G. A. Soifer
In 1964 L. Auslander conjectured that every crystallographic subgroup of an the affine group is virtually solvable, i.e. contains a solvable subgroup of finite index. D. Fried and…
Arithmeticity of hyperbolic 3-manifolds containing infinitely many totally geodesic surfaces
Gregory Margulis, Amir Mohammadi
We prove that if a closed hyperbolic 3-manifold M contains infinitely many totally geodesic surfaces, then M is arithmetic.
Values of Random Polynomials at Integer Points
Jayadev S. Athreya, Gregory Margulis
Using classical results of Rogers bounding the -norm of Siegel transforms, we give bounds on the heights of approximate integral solutions of quadratic equations and error ter…
Distance-like functions and smooth approximations: a correction to "Logarithm laws for flows on homogeneous spaces"
Dmitry Kleinbock, Gregory Margulis
One of the propositions in the paper [D. Kleinbock and G.A. Margulis, Logarithm laws for flows on homogeneous spaces, Invent. Math. 138 (1999), 451-494] related to approximating ce…
Logarithm Laws for Unipotent Flows, II
Jayadev S. Athreya, Gregory Margulis
We prove analogs of the logarithm laws of Sullivan and Kleinbock-Margulis in the context of unipotent flows. In particular, we prove results for horospherical actions on homogeneou…