Russian Mathematical Surveys 65(3), 433–511 (2010)
Published literature
Journal papers
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Showing 26–50 of 75 papers
Homogeneous Flows, Moduli Spaces and Arithmetic — Clay Mathematics Proceedings 10, 131–153 (2010)
Quantitative nondivergence and its Diophantine applications
View record →Inventiones Mathematicae 177(1), 137–212 (2009)
Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces
Audit readyView record →Journal of the European Mathematical Society 11(2), 283–313 (2009)
Strong spectral gaps for compact quotients of products of
MSC 2020
View record →11F72
Transactions of the American Mathematical Society 360(12), 6497–6523 (2008)
An extension of quantitative nondivergence and applications to Diophantine exponents
Audit readyMSC 2020
View record →37A1711J83
Geometric Combinatorics, IAS/Park City Mathematics Series 13, 389–496 (2007)
An Introduction to Hyperplane Arrangements
Audit readyView record →Memoirs of the American Mathematical Society 179(846), x+91 (2006)
Measure theoretic laws for lim sup sets
MSC 2020
View record →11J8311J1311K6028A7828A80
Moscow Mathematical Journal 5(4), 747–766 (2005)
On exponents of homogeneous and inhomogeneous Diophantine approximation
MSC 2020
View record →11J2011J1311J82
Mathematical Communications 9(1), 63–65 (2004)
A note on the root subspaces of real semisimple Lie algebras
MSC 2020
View record →17B20
Inventiones Mathematicae 151(2), 297–328 (2003)
Démonstration de la conjecture
View record →Handbook of Dynamical Systems 1A, 813–930 (2002)
Dynamics of subgroup actions on homogeneous spaces of Lie groups and applications to number theory
View record →International Mathematics Research Notices 2001(9), 453–486 (2001)
Khintchine-type theorems on manifolds: The convergence case for standard and multiplicative versions
Audit readyView record →Inventiones Mathematicae 138(3), 451–494 (1999)
Logarithm laws for flows on homogeneous spaces
Audit readyView record →Annals of Mathematics 148(1), 339–360 (1998)
Flows on homogeneous spaces and Diophantine approximation on manifolds
Audit readyMSC 2020
View record →11J1311J8322E9957S25
Discrete Mathematics 177(1–3), 195–222 (1997)
Non-crossing partitions for classical reflection groups
Audit readyMSC 2020
View record →06A0706A08
American Mathematical Society Translations 171, 141–172 (1996)
Bounded orbits of nonquasiunipotent flows on homogeneous spaces
Audit readyView record →Proceedings of the Indian Academy of Sciences - Mathematical Sciences 106(2), 105–125 (1996)
Limit distributions of expanding translates of certain orbits on homogeneous spaces
View record →Publications Mathématiques de l’IHÉS 79, 131–156 (1994)
First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity
Audit readyView record →Inventiones Mathematicae 116(1–3), 347–392 (1994)
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
View record →European Journal of Combinatorics 12(4), 361–375 (1991)
Orientation of signed graphs
Audit readyView record →Inventiones Mathematicae 106(1), 1–11 (1991)
Ramanujan duals II
View record →Nonlinearity 4(2), 385–397 (1991)
The Hausdorff dimension of the set of points with non-dense orbit under a hyperbolic dynamical system
View record →Journal für die reine und angewandte Mathematik 387, 97–110 (1988)
Almost matrix coefficients
View record →Recursion Theory (Ithaca, N.Y., 1982), Proceedings of Symposia in Pure Mathematics 42, 303–308 (1985)
A purely inductive proof of Borel determinacy
MSC 2020
View record →03E0503E60
Harmonic Analysis and Group Representations, 223–331 (1982)