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Margulis, Grigoriĭ Aleksandrovich

Author ID: margulis.gregory-a Recent zbMATH articles by "Margulis, Grigoriĭ Aleksandrovich"
Published as: Margulis, G. A.; Margulis, Gregory; Margulis, Gregory A.; Margulis, G.; Margulis, Gregori Aleksandrovitch; Margulis, Gregori Aleksandrovich; Margulis, Grigorij A.; Margulis, Grigori A.; Margulis, Gregorii; Margulis, Gregori
Further Spellings: Маргулис Григорий Александрович
Homepage: https://math.yale.edu/people/gregory-margulis
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef · theses.fr
Awards: Fields Medal (1978) · Wolf Prize (2005) · Abel Prize (2020)
all top 5

Co-Authors

53 single-authored
12 Kleinbock, Dmitry Ya.
12 Soifer, Grigoriĭ Aleksandrovich
8 Abels, Herbert
7 Dani, Shrikrishna Gopalrao
6 Novikov, Sergeĭ Petrovich
5 Eskin, Alex
5 Mohammadi, Amir
4 Athreya, Jayadev S.
4 Faddeev, Lyudvig Dmitrievich
4 Fisher, David Michael
4 Lindenstrauss, Elon
4 Mozes, Shahar
4 Rapinchuk, Andrei S.
4 Zel’manov, Efim Isaakovich
3 Adyan, Sergeĭ Ivanovich
3 Benyash-Krivets, Valeriĭ Vatslavovich
3 Bukhshtaber, Viktor Matveevich
3 Einsiedler, Manfred Leopold
3 Gol’dshejd, I. Ya.
3 Kozlov, Valeriĭ Vasil’evich
3 Mostow, George Daniel
3 Parshin, Alekseĭ Nikolaevich
3 Prasad, Gopal
3 Tomanov, Georges Metodiev
2 Beresnevich, Victor V.
2 Bernik, Vasiliĭ Ivanovich
2 Chernousov, Vladimir I.
2 Dundas, Bjørn Ian
2 Gelander, Tsachik
2 Goldman, William M.
2 Karlsson, Anders
2 Li, Han
2 Omel’chenko, A. S.
2 Reshetnyak, Yuriĭ Grigor’evich
2 Sinaĭ, Yakov Grigor’evich
2 Skau, Christian Fredrik
2 Venkatesh, Akshay
1 Anosov, Dmitriĭ Viktorovich
1 Aptekarev, Alexander Ivanovich
1 Bokut, Leonid A.
1 Buterus, Paul
1 Chirka, Evgeniĭ Mikhaĭlovich
1 Cogdell, James W.
1 Ellwood, David Alexandre
1 Fuchs, Dmitry Borisovich
1 Gelbart, Stephen S.
1 Gindikin, Simon Grigorevich
1 Golod, Evgeniĭ Solomonovich
1 Götze, Friedrich
1 Grigorchuk, Rostislav Ivanovich
1 Gromov, Mikhael Leonidovich
1 Grunewald, Fritz J.
1 Hille, Thomas
1 Howe, Roger Evans
1 Huckleberry, Alan Trinler
1 Ilyashenko, Yulij Sergeevich
1 Jacquet, Hervé Michel
1 Kac, Victor
1 Kashin, Boris Sergeevich
1 Kazhdan, David
1 Kemer, Aleksandr Robertovich
1 Kesel’man, V. M.
1 Kharchenko, Vladislav K.
1 Kharlampovich, Olga G.
1 Khovanskiĭ, Askold Georgievich
1 Kolesnikov, Pavel Sergeevich
1 Kontsevich, Maxim
1 Krichever, Igor’ Moiseevich
1 Kruzhilin, Nikolai Georgievich
1 Kutateladze, Semën Samsonovich
1 Kyrychenko, Volodymyr Vasyl’ovych
1 Labourie, François
1 Lando, Sergei K.
1 Latyshev, Viktor Nikolaevich
1 Levit, Arie
1 Lubotzky, Alexander
1 Mal’tsev, Arkadiĭ Anatol’evich
1 Mal’tsev, Yuriĭ Nikolaevich
1 Manin, Yuriĭ Ivanovich
1 Marmi, Stefano
1 Mikhalëv, Aleksandr Vasil’evich
1 Myasnikov, Alexei G.
1 Nemirovskiĭ, Stefan Yur’evich
1 Nevo, Amos
1 Oh, Hee
1 Ol’shanskiĭ, Aleksandr Yur’evich
1 Osipov, Yuriĭ Sergeevich
1 Platonov, Vladimir Petrovich
1 Qian, Nantian
1 Rohlfs, Jürgen
1 Romanovskii, N. S.
1 Sarnak, Peter Clive
1 Schwarz, Albert S.
1 Shahidi, Freydoon
1 Shestakov, Ivan Pavlovich
1 Shevrin, Lev Naumovich
1 Shiryaev, Al’bert Nikolaevich
1 Soudry, David
1 Stein, Elias Menachem
1 Suetin, Sergeĭ Pavlovich
...and 11 more Co-Authors
all top 5

Serials

9 Inventiones Mathematicae
8 Russian Mathematical Surveys
8 Functional Analysis and its Applications
8 Soviet Mathematics. Doklady
5 Comptes Rendus de l’Académie des Sciences. Série I
5 Annals of Mathematics. Second Series
4 Israel Journal of Mathematics
4 Uspekhi Matematicheskikh Nauk [N. S.]
4 Geometric and Functional Analysis. GAFA
3 Journal d’Analyse Mathématique
3 Problems of Information Transmission
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Ergodic Theory and Dynamical Systems
3 Mathematics of the USSR, Sbornik
3 Problemy Peredachi Informatsii
3 Journal of Modern Dynamics
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Mathematische Annalen
2 Notices of the American Mathematical Society
2 Translations. Series 2. American Mathematical Society
1 Communications in Mathematical Physics
1 Journal of Geometry and Physics
1 Advances in Mathematics
1 Bulletin de la Société Mathématique de France
1 Journal of Algebra
1 Journal of Differential Geometry
1 Journal of Soviet Mathematics
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Selecta Mathematica Sovietica
1 Combinatorica
1 Journal of the American Mathematical Society
1 IMRN. International Mathematics Research Notices
1 L’Enseignement Mathématique. 2e Série
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Lie Theory
1 Electronic Research Announcements of the American Mathematical Society
1 European Mathematical Society Newsletter
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Moscow Mathematical Journal
1 International Journal of Number Theory
1 Chebyshevskiĭ Sbornik
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 Clay Mathematics Proceedings
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

117 Publications have been cited 3,270 times in 2,134 Documents Cited by Year
Discrete subgroups of semisimple Lie groups. Zbl 0732.22008
Margulis, G. A.
495
1991
Flows on homogeneous spaces and Diophantine approximation on manifolds. Zbl 0922.11061
Kleinbock, D. Y.; Margulis, G. A.
149
1998
Some smooth ergodic systems. With an appendix by G. A. Margulis. Zbl 0177.42002
Anosov, D. V.; Sinaĭ, Ya. G.
122
1967
Logarithm laws for flows on homogeneous spaces. Zbl 0934.22016
Kleinbock, D. Y.; Margulis, G. A.
119
1999
Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators. Zbl 0708.05030
Margulis, G. A.
115
1988
On some aspects of the theory of Anosov systems. With a survey by Richard Sharp: Periodic orbits of hyperbolic flows. Transl. from the Russian by S. V. Vladimirovna. Zbl 1140.37010
Margulis, G. A.
94
2004
Bounded orbits of nonquasiunipotent flows on homogeneous spaces. Zbl 0843.22027
Kleinbock, D. Y.; Margulis, G. A.
88
1996
Applications of ergodic theory to the investigation of manifolds of negative curvature. Zbl 0207.20305
Margulis, G. A.
88
1969
Explicit construction of a concentrator. Zbl 0312.22011
Margulis, G. A.
82
1973
Limit distributions of orbits of unipotent flows and values of quadratic forms. Zbl 0814.22003
Dani, S. G.; Margulis, G. A.
80
1993
Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture. Zbl 0906.11035
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
78
1998
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces. Zbl 0816.22004
Margulis, G. A.; Tomanov, G. M.
71
1994
Explicit constructions of graphs without short cycles and low density codes. Zbl 0492.05044
Margulis, G. A.
65
1982
Lyapunov indices of a product of random matrices. Zbl 0705.60012
Gol’dshejd, I. Ya.; Margulis, G. A.
62
1989
Khintchine-type theorems on manifolds: The convergence case for standard and multiplicative versions. Zbl 0986.11053
Bernik, V.; Kleinbock, D.; Margulis, G. A.
55
2001
Problems and conjectures in rigidity theory. Zbl 0952.22005
Margulis, Gregory
50
2000
A multiplicative ergodic theorem and nonpositively curved spaces. Zbl 0979.37006
Karlsson, Anders; Margulis, Gregory A.
46
1999
Certain measures associated with U-flows on compact manifolds. Zbl 0245.58003
Margulis, G. A.
43
1970
Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces. Zbl 1176.37003
Einsiedler, Manfred; Margulis, G.; Venkatesh, Akshay
41
2009
Discrete subgroups and ergodic theory. Zbl 0675.10010
Margulis, G. A.
38
1989
Discrete groups of motions of manifolds of nonpositive curvature. Zbl 0367.57012
Margulis, G. A.
37
1977
Finitely-additive invariant measures on Euclidean spaces. Zbl 0532.28012
Margulis, G. A.
36
1982
Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1. Zbl 0551.20028
Margulis, G. A.
36
1984
The differential of a quasi-conformal mapping of a Carnot-Carathéodory space. Zbl 0910.30020
Margulis, G. A.; Mostow, G. D.
36
1995
Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori. Zbl 1075.11049
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
36
2005
Probabilistic properties of graphs with large connectivity. Zbl 0322.05147
Margulis, G. A.
36
1974
Semigroups containing proximal linear maps. Zbl 0845.22004
Abels, Herbert; Margulis, G. A.; Soifer, G. A.
35
1995
Metric diophantine approximation: The Khintchine-Groshev theorem for nondegenerate manifolds. Zbl 1013.11039
Beresnevich, V. V.; Bernik, V. I.; Kleinbock, D. Y.; Margulis, G. A.
35
2002
Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\). Zbl 0679.22007
Dani, S. G.; Margulis, G. A.
33
1990
Recurrence properties of random walks on finite volume homogeneous manifolds. Zbl 1064.60092
Eskin, Alex; Margulis, Gregory
33
2004
Maximal subgroups of infinite index in finitely generated linear groups. Zbl 0457.20046
Margulis, G. A.; Sojfer, G. A.
32
1981
Values of quadratic forms at primitive integral points. Zbl 0682.22008
Dani, S. G.; Margulis, G. A.
30
1989
Some remarks on the definition of tangent cones in a Carnot-Carathéodory space. Zbl 0971.58004
Margulis, G. A.; Mostow, G. D.
30
2000
Free subgroups of the homeomorphism group of the circle. Zbl 0983.37029
Margulis, Gregory
30
2000
Logarithm laws for unipotent flows. I. Zbl 1184.37007
Athreya, Jayadev S.; Margulis, Gregory A.
29
2009
Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces. Zbl 0731.22008
Dani, S. G.; Margulis, G. A.
29
1991
Some remarks on invariant means. Zbl 0425.43001
Margulis, G. A.
29
1980
Almost isometric actions, property (T), and local rigidity. Zbl 1076.22008
Fisher, David; Margulis, Gregory
27
2005
Complete affine locally flat manifolds with free fundamental group. Zbl 0611.57023
Margulis, G. A.
27
1987
Positive harmonic functions on nilpotent groups. Zbl 0187.38902
Margulis, G. A.
26
1966
Formes quadratiques indéfinies et flots unipotents sur les espaces homogènes. (Indefinite quadratic forms and unipotent flows on homogeneous spaces). Zbl 0624.10011
Margulis, Gregori Aleksandrovich
26
1987
Lyapunov exponents of a random matrix product. Zbl 0687.60008
Gol’dshejd, I. Ya.; Margulis, G. A.
24
1989
Singular systems of linear forms and non-escape of mass in the space of lattices. Zbl 1385.37005
Kadyrov, S.; Kleinbock, D.; Lindenstrauss, E.; Margulis, G. A.
24
2017
Discrete groups of motions of manifolds of non-positive curvature. Zbl 0336.57037
Margulis, G. A.
21
1975
Superrigidity, generalized harmonic maps and uniformly convex spaces. Zbl 1156.22005
Gelander, Tsachik; Karlsson, Anders; Margulis, Gregory A.
20
2008
On effective equidistribution of expanding translates of certain orbits in the space of lattices. Zbl 1262.37005
Kleinbock, D. Y.; Margulis, G. A.
20
2012
Proper affine actions and geodesic flows of hyperbolic surfaces. Zbl 1193.57001
Goldman, William M.; Labourie, François; Margulis, Gregory
20
2009
Arithmetic properties of discrete subgroups. Zbl 0299.22010
Margulis, G. A.
19
1974
Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory. Zbl 0747.58017
Margulis, Grigorij A.
19
1991
Free totally discontinuous groups of affine transformations. Zbl 0578.57012
Margulis, G. A.
18
1983
Effective estimates on indefinite ternary forms. Zbl 1308.37002
Lindenstrauss, Elon; Margulis, Gregory
18
2014
Some linear groups virtually having a free quotient. Zbl 0958.22008
Margulis, G. A.; Vinberg, È. B.
17
2000
On the Zariski closure of the linear part of a properly discontinuous group of affine transformations. Zbl 1061.22012
Abels, H.; Margulis, G. A.; Soifer, G. A.
17
2002
Finiteness of factor groups of discrete subgroups. Zbl 0423.22015
Margulis, G. A.
17
1979
Finiteness of quotient groups of discrete subgroups. Zbl 0434.22013
Margulis, G. A.
17
1980
Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms. Zbl 1243.11054
Margulis, Gregory; Mohammadi, Amir
17
2011
Invariant analytic hypersurfaces. Zbl 0507.32024
Huckleberry, A. T.; Margulis, G. A.
16
1983
Complete affine locally flat manifolds with free fundamental group. Zbl 0547.57030
Margulis, G. A.
15
1984
Indefinite quadratic forms and unipotent flows on homogeneous spaces. Zbl 0689.10026
Margulis, G. A.
15
1989
Non-uniform lattices in semisimple algebraic groups. Zbl 0316.22009
Margulis, G. A.
15
1975
Local rigidity of affine actions of higher rank groups and lattices. Zbl 1186.22015
Fisher, David; Margulis, Gregory
15
2009
Closed geodesics and holonomies for Kleinian manifolds. Zbl 1366.53040
Margulis, Gregory; Mohammadi, Amir; Oh, Hee
15
2014
Values of random polynomials at integer points. Zbl 1454.11126
Athreya, Jayadev S.; Margulis, Gregory A.
15
2018
Aperiodic tilings of the hyperbolic plane by convex polygons. Zbl 0928.52012
Margulis, G. A.; Mozes, S.
14
1998
Measure rigidity for almost linear groups and its applications. Zbl 0864.22005
Margulis, G. A.; Tomanov, G. M.
14
1996
Flat Lorentz 3-manifolds and cocompact Fuchsian groups. Zbl 1039.53074
Goldman, William M.; Margulis, Gregory A.
13
2000
Isometry of closed manifolds of constant negative curvature with the same fundamental group. Zbl 0213.48202
Margulis, G. A.
13
1970
Metric Diophantine approximation for systems of linear forms via dynamics. Zbl 1211.11086
Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo
13
2010
Analogs of Wiener’s ergodic theorems for semisimple Lie groups. II. Zbl 0978.22006
Margulis, G. A.; Nevo, A.; Stein, Elias M.
12
2000
Rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices. Zbl 0976.22009
Margulis, Gregory A.; Qian, Nantian
12
2001
Beweis einer Vermutung von Selberg. Zbl 0241.22024
Kazhdan, D. A.; Margulis, G. A.
12
1969
Properly discontinuous groups of affine transformations with orthogonal linear part. Zbl 0933.22015
Abels, Herbert; Margulis, Grigori A.; Soifer, Grigori A.
12
1997
Local rigidity for cocycles. Zbl 1062.22044
Fisher, David; Margulis, G. A.
11
2003
Über die Operation unipotenter Gruppen in einem Gitterraum. Zbl 0257.54037
Margulis, G. A.
11
1971
Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients. Zbl 0892.22009
Margulis, Gregory
11
1997
Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure. Zbl 0706.57022
Grunewald, Fritz; Margulis, Gregori
11
1988
Quotient groups of discrete subgroups and measure theory. Zbl 0423.28012
Margulis, G. A.
11
1979
The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant. Zbl 1228.22012
Abels, H.; Margulis, G. A.; Soifer, G. A.
9
2011
On the multiplicative group of a quaternion algebra over a global field. Zbl 0503.12011
Margulis, G. A.
9
1980
Effective equidistribution and property \((\tau )\). Zbl 1466.11049
Einsiedler, M.; Margulis, G.; Mohammadi, A.; Venkatesh, A.
9
2020
On the action of unipotent groups in the space of lattices. Zbl 0305.22014
Margulis, G. A.
8
1975
Values of quadratic forms at integral points: An elementary approach. Zbl 0833.11026
Dani, S. G.; Margulis, G. A.
8
1990
Cobounded subgroups of algebraic groups over local fields. Zbl 0412.22007
Margulis, G. A.
8
1977
Non-planarity and metric Diophantine approximation for systems of linear forms. Zbl 1375.11053
Beresnevich, Victor; Kleinbock, Dmitry; Margulis, Gregory
8
2015
Coarsely geodesic metrics on reductive groups. Zbl 1151.22008
Abels, Herbert; Margulis, Gregory
8
2004
Arithmeticity of hyperbolic \(3\)-manifolds containing infinitely many totally geodesic surfaces. Zbl 1483.57017
Mohammadi, Amir; Margulis, Gregorii
8
2022
Effective estimates on integral quadratic forms: Masser’s conjecture, generators of orthogonal groups, and bounds in reduction theory. Zbl 1356.11020
Li, Han; Margulis, Gregory A.
7
2016
A condition for simplicity of the spectrum of Lyapunov exponents. Zbl 0638.15010
Gol’dshejd, I. Ya.; Margulis, G. A.
6
1987
On the decomposition of discrete subgroups into amalgams. Zbl 0515.20031
Margulis, G. A.
6
1981
Arithmeticity of nonuniform lattices in weakly noncompact groups. Zbl 0316.22008
Margulis, G. A.
6
1975
Distribution of values of quadratic forms at integral points. Zbl 1487.11091
Buterus, P.; Götze, F.; Hille, T.; Margulis, G.
6
2022
Erratum to: “Logarithm laws for flows on homogeneous spaces”. Zbl 1404.22021
Kleinbock, D. Y.; Margulis, G. A.
5
2018
The Auslander conjecture for groups leaving a form of signature \((n-2,2)\) invariant. Zbl 1091.20032
Abels, H.; Margulis, G. A.; Soifer, G. A.
5
2005
Diophantine approximation, lattices and flows on homogeneous spaces. Zbl 1036.11033
Margulis, Gregory
5
2002
Lie groups and ergodic theory. Zbl 0667.22005
Margulis, G. A.
4
1988
Random walks on the space of lattices and the finiteness of covolumes of arithmetic subgroups. Zbl 1110.22005
Margulis, G.
4
2004
Discrete subgroups of real semi-simple Lie groups. Zbl 0226.22012
Margulis, G. A.
4
1969
Arithmeticality of nonuniform lattices. Zbl 0286.22010
Margulis, G. A.
4
1974
Measure rigidity for algebraic groups over local fields. Zbl 0789.22023
Margulis, Gregori Aleksandrovitch; Tomanov, Georges Metodiev
4
1992
On a quantitative version of the Oppenheim conjecture. Zbl 0859.11043
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
3
1995
Arithmeticity of hyperbolic \(3\)-manifolds containing infinitely many totally geodesic surfaces. Zbl 1483.57017
Mohammadi, Amir; Margulis, Gregorii
8
2022
Distribution of values of quadratic forms at integral points. Zbl 1487.11091
Buterus, P.; Götze, F.; Hille, T.; Margulis, G.
6
2022
Effective discreteness radius of stabilizers for stationary actions. Zbl 1520.22008
Gelander, T.; Levit, A.; Margulis, G. A.
1
2022
Effective equidistribution and property \((\tau )\). Zbl 1466.11049
Einsiedler, M.; Margulis, G.; Mohammadi, A.; Venkatesh, A.
9
2020
Values of random polynomials at integer points. Zbl 1454.11126
Athreya, Jayadev S.; Margulis, Gregory A.
15
2018
Erratum to: “Logarithm laws for flows on homogeneous spaces”. Zbl 1404.22021
Kleinbock, D. Y.; Margulis, G. A.
5
2018
Singular systems of linear forms and non-escape of mass in the space of lattices. Zbl 1385.37005
Kadyrov, S.; Kleinbock, D.; Lindenstrauss, E.; Margulis, G. A.
24
2017
Logarithm laws for unipotent flows. II. Zbl 1402.37003
Athreya, Jayadev S.; Margulis, Gregory A.
3
2017
Effective estimates on integral quadratic forms: Masser’s conjecture, generators of orthogonal groups, and bounds in reduction theory. Zbl 1356.11020
Li, Han; Margulis, Gregory A.
7
2016
Non-planarity and metric Diophantine approximation for systems of linear forms. Zbl 1375.11053
Beresnevich, Victor; Kleinbock, Dmitry; Margulis, Gregory
8
2015
Effective estimates on indefinite ternary forms. Zbl 1308.37002
Lindenstrauss, Elon; Margulis, Gregory
18
2014
Closed geodesics and holonomies for Kleinian manifolds. Zbl 1366.53040
Margulis, Gregory; Mohammadi, Amir; Oh, Hee
15
2014
On effective equidistribution of expanding translates of certain orbits in the space of lattices. Zbl 1262.37005
Kleinbock, D. Y.; Margulis, G. A.
20
2012
Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms. Zbl 1243.11054
Margulis, Gregory; Mohammadi, Amir
17
2011
The linear part of an affine group acting properly discontinuously and leaving a quadratic form invariant. Zbl 1228.22012
Abels, H.; Margulis, G. A.; Soifer, G. A.
9
2011
Metric Diophantine approximation for systems of linear forms via dynamics. Zbl 1211.11086
Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo
13
2010
Homogeneous flows, moduli spaces and arithmetic. Proceedings of the Clay Mathematics Institute summer school, Centro di Recerca Mathematica Ennio De Giorgi, Pisa, Italy, June 11–July 6, 2007. Zbl 1195.37005
2
2010
Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces. Zbl 1176.37003
Einsiedler, Manfred; Margulis, G.; Venkatesh, Akshay
41
2009
Logarithm laws for unipotent flows. I. Zbl 1184.37007
Athreya, Jayadev S.; Margulis, Gregory A.
29
2009
Proper affine actions and geodesic flows of hyperbolic surfaces. Zbl 1193.57001
Goldman, William M.; Labourie, François; Margulis, Gregory
20
2009
Local rigidity of affine actions of higher rank groups and lattices. Zbl 1186.22015
Fisher, David; Margulis, Gregory
15
2009
Superrigidity, generalized harmonic maps and uniformly convex spaces. Zbl 1156.22005
Gelander, Tsachik; Karlsson, Anders; Margulis, Gregory A.
20
2008
Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori. Zbl 1075.11049
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
36
2005
Almost isometric actions, property (T), and local rigidity. Zbl 1076.22008
Fisher, David; Margulis, Gregory
27
2005
The Auslander conjecture for groups leaving a form of signature \((n-2,2)\) invariant. Zbl 1091.20032
Abels, H.; Margulis, G. A.; Soifer, G. A.
5
2005
On some aspects of the theory of Anosov systems. With a survey by Richard Sharp: Periodic orbits of hyperbolic flows. Transl. from the Russian by S. V. Vladimirovna. Zbl 1140.37010
Margulis, G. A.
94
2004
Recurrence properties of random walks on finite volume homogeneous manifolds. Zbl 1064.60092
Eskin, Alex; Margulis, Gregory
33
2004
Coarsely geodesic metrics on reductive groups. Zbl 1151.22008
Abels, Herbert; Margulis, Gregory
8
2004
Random walks on the space of lattices and the finiteness of covolumes of arithmetic subgroups. Zbl 1110.22005
Margulis, G.
4
2004
Local rigidity for cocycles. Zbl 1062.22044
Fisher, David; Margulis, G. A.
11
2003
Metric diophantine approximation: The Khintchine-Groshev theorem for nondegenerate manifolds. Zbl 1013.11039
Beresnevich, V. V.; Bernik, V. I.; Kleinbock, D. Y.; Margulis, G. A.
35
2002
On the Zariski closure of the linear part of a properly discontinuous group of affine transformations. Zbl 1061.22012
Abels, H.; Margulis, G. A.; Soifer, G. A.
17
2002
Diophantine approximation, lattices and flows on homogeneous spaces. Zbl 1036.11033
Margulis, Gregory
5
2002
Khintchine-type theorems on manifolds: The convergence case for standard and multiplicative versions. Zbl 0986.11053
Bernik, V.; Kleinbock, D.; Margulis, G. A.
55
2001
Rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices. Zbl 0976.22009
Margulis, Gregory A.; Qian, Nantian
12
2001
Problems and conjectures in rigidity theory. Zbl 0952.22005
Margulis, Gregory
50
2000
Some remarks on the definition of tangent cones in a Carnot-Carathéodory space. Zbl 0971.58004
Margulis, G. A.; Mostow, G. D.
30
2000
Free subgroups of the homeomorphism group of the circle. Zbl 0983.37029
Margulis, Gregory
30
2000
Some linear groups virtually having a free quotient. Zbl 0958.22008
Margulis, G. A.; Vinberg, È. B.
17
2000
Flat Lorentz 3-manifolds and cocompact Fuchsian groups. Zbl 1039.53074
Goldman, William M.; Margulis, Gregory A.
13
2000
Analogs of Wiener’s ergodic theorems for semisimple Lie groups. II. Zbl 0978.22006
Margulis, G. A.; Nevo, A.; Stein, Elias M.
12
2000
Logarithm laws for flows on homogeneous spaces. Zbl 0934.22016
Kleinbock, D. Y.; Margulis, G. A.
119
1999
A multiplicative ergodic theorem and nonpositively curved spaces. Zbl 0979.37006
Karlsson, Anders; Margulis, Gregory A.
46
1999
Flows on homogeneous spaces and Diophantine approximation on manifolds. Zbl 0922.11061
Kleinbock, D. Y.; Margulis, G. A.
149
1998
Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture. Zbl 0906.11035
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
78
1998
Aperiodic tilings of the hyperbolic plane by convex polygons. Zbl 0928.52012
Margulis, G. A.; Mozes, S.
14
1998
Properly discontinuous groups of affine transformations with orthogonal linear part. Zbl 0933.22015
Abels, Herbert; Margulis, Grigori A.; Soifer, Grigori A.
12
1997
Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients. Zbl 0892.22009
Margulis, Gregory
11
1997
Bounded orbits of nonquasiunipotent flows on homogeneous spaces. Zbl 0843.22027
Kleinbock, D. Y.; Margulis, G. A.
88
1996
Measure rigidity for almost linear groups and its applications. Zbl 0864.22005
Margulis, G. A.; Tomanov, G. M.
14
1996
The differential of a quasi-conformal mapping of a Carnot-Carathéodory space. Zbl 0910.30020
Margulis, G. A.; Mostow, G. D.
36
1995
Semigroups containing proximal linear maps. Zbl 0845.22004
Abels, Herbert; Margulis, G. A.; Soifer, G. A.
35
1995
On a quantitative version of the Oppenheim conjecture. Zbl 0859.11043
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
3
1995
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces. Zbl 0816.22004
Margulis, G. A.; Tomanov, G. M.
71
1994
Limit distributions of orbits of unipotent flows and values of quadratic forms. Zbl 0814.22003
Dani, S. G.; Margulis, G. A.
80
1993
Measure rigidity for algebraic groups over local fields. Zbl 0789.22023
Margulis, Gregori Aleksandrovitch; Tomanov, Georges Metodiev
4
1992
On the limit distributions of orbits of unipotent flows and integral solutions of quadratic inequalities. Zbl 0780.22002
Dani, Shrikrishna Gopalrao; Margulis, Gregori Aleksandrovitch
2
1992
Discrete subgroups of semisimple Lie groups. Zbl 0732.22008
Margulis, G. A.
495
1991
Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces. Zbl 0731.22008
Dani, S. G.; Margulis, G. A.
29
1991
Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory. Zbl 0747.58017
Margulis, Grigorij A.
19
1991
Compactness of minimal closed invariant sets of actions of unipotent groups. Zbl 0733.22005
Margulis, G. A.
3
1991
Lie groups and ergodic theory. Zbl 0743.22010
Margulis, G. A.
1
1991
Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\). Zbl 0679.22007
Dani, S. G.; Margulis, G. A.
33
1990
Values of quadratic forms at integral points: An elementary approach. Zbl 0833.11026
Dani, S. G.; Margulis, G. A.
8
1990
Orbits of group actions and values of quadratic forms at integral points. Zbl 0718.11027
Margulis, G. A.
3
1990
Lyapunov indices of a product of random matrices. Zbl 0705.60012
Gol’dshejd, I. Ya.; Margulis, G. A.
62
1989
Discrete subgroups and ergodic theory. Zbl 0675.10010
Margulis, G. A.
38
1989
Values of quadratic forms at primitive integral points. Zbl 0682.22008
Dani, S. G.; Margulis, G. A.
30
1989
Lyapunov exponents of a random matrix product. Zbl 0687.60008
Gol’dshejd, I. Ya.; Margulis, G. A.
24
1989
Indefinite quadratic forms and unipotent flows on homogeneous spaces. Zbl 0689.10026
Margulis, G. A.
15
1989
Values of quadratic forms at primitive integral points. (Valeurs de formes quadratiques aux points primitifs). Zbl 0675.10011
Dani, Shrikrishna Gopalrao; Margulis, Gregori Aleksandrovitch
1
1989
Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators. Zbl 0708.05030
Margulis, G. A.
115
1988
Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure. Zbl 0706.57022
Grunewald, Fritz; Margulis, Gregori
11
1988
Lie groups and ergodic theory. Zbl 0667.22005
Margulis, G. A.
4
1988
Complete affine locally flat manifolds with free fundamental group. Zbl 0611.57023
Margulis, G. A.
27
1987
Formes quadratiques indéfinies et flots unipotents sur les espaces homogènes. (Indefinite quadratic forms and unipotent flows on homogeneous spaces). Zbl 0624.10011
Margulis, Gregori Aleksandrovich
26
1987
A condition for simplicity of the spectrum of Lyapunov exponents. Zbl 0638.15010
Gol’dshejd, I. Ya.; Margulis, G. A.
6
1987
On the proportionality of covolumes of discrete subgroups. Zbl 0579.22014
Margulis, G. A.; Rohlfs, J.
1
1986
Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1. Zbl 0551.20028
Margulis, G. A.
36
1984
Complete affine locally flat manifolds with free fundamental group. Zbl 0547.57030
Margulis, G. A.
15
1984
Free totally discontinuous groups of affine transformations. Zbl 0578.57012
Margulis, G. A.
18
1983
Invariant analytic hypersurfaces. Zbl 0507.32024
Huckleberry, A. T.; Margulis, G. A.
16
1983
Explicit constructions of graphs without short cycles and low density codes. Zbl 0492.05044
Margulis, G. A.
65
1982
Finitely-additive invariant measures on Euclidean spaces. Zbl 0532.28012
Margulis, G. A.
36
1982
Maximal subgroups of infinite index in finitely generated linear groups. Zbl 0457.20046
Margulis, G. A.; Sojfer, G. A.
32
1981
On the decomposition of discrete subgroups into amalgams. Zbl 0515.20031
Margulis, G. A.
6
1981
Some remarks on invariant means. Zbl 0425.43001
Margulis, G. A.
29
1980
Finiteness of quotient groups of discrete subgroups. Zbl 0434.22013
Margulis, G. A.
17
1980
On the multiplicative group of a quaternion algebra over a global field. Zbl 0503.12011
Margulis, G. A.
9
1980
Finiteness of factor groups of discrete subgroups. Zbl 0423.22015
Margulis, G. A.
17
1979
Quotient groups of discrete subgroups and measure theory. Zbl 0423.28012
Margulis, G. A.
11
1979
Non-free maximal subgroups of infinite index of the group \(\mathrm{SL}_n(\mathbb Z)\). (Nichtfreie maximale Untergruppen der Gruppe \(\mathrm{SL}_n(\mathbb Z)\).) Zbl 0418.22014
Margulis, G. A.; Soĭfer, G. A.
3
1979
Non-free maximal subgroups of infinite index of the group \(\mathrm{SL}_n(\mathbb Z)\). Zbl 0442.22011
Margulis, G. A.; Soĭfer, G. A.
1
1979
Factor groups of discrete subgroups. Zbl 0429.20044
Margulis, G. A.
3
1978
Faktorgruppen diskreter Untergruppen und Maßtheorie. Zbl 0401.28010
Margulis, G. A.
2
1978
Discrete groups of motions of manifolds of nonpositive curvature. Zbl 0367.57012
Margulis, G. A.
37
1977
Cobounded subgroups of algebraic groups over local fields. Zbl 0412.22007
Margulis, G. A.
8
1977
A criterion for the existence of maximal subgroups of infinite index in a finitely generated linear group. Zbl 0395.20025
Margulis, G. A.; Sojfer, G. A.
1
1977
Discrete groups of motions of manifolds of non-positive curvature. Zbl 0336.57037
Margulis, G. A.
21
1975
Non-uniform lattices in semisimple algebraic groups. Zbl 0316.22009
Margulis, G. A.
15
1975
...and 17 more Documents
all top 5

Cited by 1,899 Authors

38 Margulis, Grigoriĭ Aleksandrovich
33 Kleinbock, Dmitry Ya.
30 Oh, Hee
26 Einsiedler, Manfred Leopold
24 Ghosh, Anish
24 Gorodnik, Alexander
24 Mohammadi, Amir
22 Benoist, Yves
21 Gelander, Tsachik
21 Lubotzky, Alexander
20 Lindenstrauss, Elon
17 Beresnevich, Victor V.
17 Shah, Nimish A.
16 Bader, Uri
16 Marklof, Jens
16 Simmons, David
15 Athreya, Jayadev S.
14 Weiss, Barak
14 Zimmer, Robert J.
13 Caprace, Pierre-Emmanuel
13 Goldman, William M.
13 Mozes, Shahar
13 Pollicott, Mark
12 Dolgopyat, Dmitry
12 Eskin, Alex
12 Fisher, David Michael
12 Quint, Jean-François
12 Shi, Ronggang
11 Breuillard, Emmanuel
11 Fishman, Lior
11 Guivarc’h, Yves
11 Katok, Anatole
11 Nevo, Amos
11 Rapinchuk, Andrei S.
11 Reid, Alan W.
11 Rodriguez-Hertz, Federico
11 Salehi Golsefidy, Alireza
11 Sert, Cagri
11 Spatzier, Ralf J.
11 Ustimenko, Vasiliy A.
10 Alon, Noga
10 Charette, Virginie
10 Furman, Alex
10 Ledrappier, François
10 Popa, Sorin Teodor
10 Sarnak, Peter Clive
10 Shapira, Uri
10 Soifer, Grigoriĭ Aleksandrovich
9 Belolipetsky, Mikhail V.
9 Björklund, Michael
9 Ioana, Adrian
9 Long, Darren D.
9 Velani, Sanju L.
8 Bernik, Vasiliĭ Ivanovich
8 Bourgain, Jean
8 Damjanović, Danijela
8 Dani, Shrikrishna Gopalrao
8 Kelmer, Dubi
8 Knieper, Gerhard
8 Le Donne, Enrico
8 Li, Han
8 Paulin, Frédéric
8 Prasad, Gopal
8 Ratner, Marina
8 Rémy, Bertrand
8 Venkatesh, Akshay
8 Wang, Zhenqi Jenny
8 Wang, Zhiren
8 Yang, Lei
7 Aka, Menny
7 Bekka, Mohammed el Bachir
7 Bowen, Lewis Phylip
7 Budarina, Natalia Viktorovna
7 de Cornulier, Yves
7 De Saxcé, Nicolas
7 Drumm, Todd A.
7 Guan, Lifan
7 Ji, Lizhen
7 Labourie, François
7 Levit, Arie
7 McReynolds, David Ben
7 Monod, Nicolas
7 Strömbergsson, Andreas
7 Tomanov, Georges Metodiev
7 Urbański, Mariusz
7 Witte Morris, Dave
7 Wu, Weisheng
7 Yu, Shucheng
6 Aoun, Richard
6 Boumaza, Hakim
6 Brown, Aaron W.
6 Burger, Marc
6 Gamburd, Alexander
6 Grunewald, Fritz J.
6 Han, Jiyoung
6 Kapovich, Michael
6 Kassel, Fanny
6 Lalley, Steven P.
6 Le Boudec, Adrien
6 Lim, Seonhee
...and 1,799 more Authors
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Cited in 301 Serials

108 Ergodic Theory and Dynamical Systems
89 Duke Mathematical Journal
86 Israel Journal of Mathematics
80 Inventiones Mathematicae
57 Advances in Mathematics
55 Geometriae Dedicata
53 Geometric and Functional Analysis. GAFA
51 Transactions of the American Mathematical Society
49 Proceedings of the American Mathematical Society
49 Journal of Modern Dynamics
43 Mathematische Annalen
42 Annals of Mathematics. Second Series
35 Annales de l’Institut Fourier
34 Journal of Algebra
33 Journal of Functional Analysis
33 Mathematische Zeitschrift
32 Compositio Mathematica
31 Bulletin of the American Mathematical Society. New Series
29 Journal of the American Mathematical Society
29 Groups, Geometry, and Dynamics
26 Journal of Number Theory
23 Journal of the European Mathematical Society (JEMS)
22 Monatshefte für Mathematik
22 Discrete and Continuous Dynamical Systems
20 Mathematical Proceedings of the Cambridge Philosophical Society
20 Algebraic & Geometric Topology
19 Journal d’Analyse Mathématique
18 Communications in Mathematical Physics
18 Geometry & Topology
17 Discrete Mathematics
17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
17 Combinatorica
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 Publications Mathématiques
15 Transformation Groups
14 Journal of the London Mathematical Society. Second Series
14 Journal für die Reine und Angewandte Mathematik
12 Acta Mathematica
11 The Annals of Probability
11 Theoretical Computer Science
10 Mathematika
10 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
10 Journal of Topology and Analysis
9 Journal of Pure and Applied Algebra
9 Topology and its Applications
9 International Journal of Number Theory
9 Forum of Mathematics, Sigma
8 Nonlinearity
8 Bulletin de la Société Mathématique de France
8 Commentarii Mathematici Helvetici
8 Journal of Combinatorial Theory. Series B
8 Annals of Global Analysis and Geometry
8 Probability Theory and Related Fields
8 Selecta Mathematica. New Series
8 Annales Henri Poincaré
7 Communications in Algebra
7 Journal of Statistical Physics
7 Michigan Mathematical Journal
7 SIAM Journal on Computing
7 European Journal of Combinatorics
7 Forum Mathematicum
7 International Journal of Mathematics
7 International Journal of Algebra and Computation
7 The Journal of Geometric Analysis
7 Journal of Mathematical Sciences (New York)
6 Journal of Mathematical Physics
6 Journal of Geometry and Physics
6 Archiv der Mathematik
6 Memoirs of the American Mathematical Society
6 Differential Geometry and its Applications
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 The Electronic Journal of Combinatorics
6 Doklady Mathematics
6 Journal of Group Theory
6 Oberwolfach Reports
6 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica
6 Journal de l’École Polytechnique – Mathématiques
5 Bulletin of the Australian Mathematical Society
5 Discrete Applied Mathematics
5 Information Processing Letters
5 Mathematical Notes
5 Acta Arithmetica
5 Journal of Graph Theory
5 Proceedings of the London Mathematical Society. Third Series
5 Designs, Codes and Cryptography
5 L’Enseignement Mathématique. 2e Série
5 St. Petersburg Mathematical Journal
5 Electronic Research Announcements of the American Mathematical Society
5 Journal of the Institute of Mathematics of Jussieu
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
5 Proceedings of the Steklov Institute of Mathematics
5 Journal of Topology
5 Annales Henri Lebesgue
4 Bulletin of the London Mathematical Society
4 Canadian Journal of Mathematics
4 Functional Analysis and its Applications
4 Journal of Differential Equations
4 Journal of Soviet Mathematics
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Proceedings of the Japan Academy. Series A
...and 201 more Serials
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Cited in 55 Fields

750 Dynamical systems and ergodic theory (37-XX)
639 Topological groups, Lie groups (22-XX)
484 Group theory and generalizations (20-XX)
479 Number theory (11-XX)
314 Differential geometry (53-XX)
258 Manifolds and cell complexes (57-XX)
223 Combinatorics (05-XX)
161 Probability theory and stochastic processes (60-XX)
134 Measure and integration (28-XX)
105 Algebraic geometry (14-XX)
103 Functions of a complex variable (30-XX)
102 Several complex variables and analytic spaces (32-XX)
94 Functional analysis (46-XX)
92 Global analysis, analysis on manifolds (58-XX)
71 Computer science (68-XX)
66 Abstract harmonic analysis (43-XX)
63 Geometry (51-XX)
49 Information and communication theory, circuits (94-XX)
45 General topology (54-XX)
35 Convex and discrete geometry (52-XX)
32 Partial differential equations (35-XX)
29 Operator theory (47-XX)
29 Statistical mechanics, structure of matter (82-XX)
27 Quantum theory (81-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
26 Nonassociative rings and algebras (17-XX)
24 Algebraic topology (55-XX)
23 Mathematical logic and foundations (03-XX)
14 Associative rings and algebras (16-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 \(K\)-theory (19-XX)
13 Potential theory (31-XX)
10 Ordinary differential equations (34-XX)
9 History and biography (01-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
9 Relativity and gravitational theory (83-XX)
8 General and overarching topics; collections (00-XX)
8 Real functions (26-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Operations research, mathematical programming (90-XX)
6 Numerical analysis (65-XX)
5 Category theory; homological algebra (18-XX)
5 Difference and functional equations (39-XX)
4 Field theory and polynomials (12-XX)
4 Statistics (62-XX)
3 Commutative algebra (13-XX)
3 Integral equations (45-XX)
2 Special functions (33-XX)
2 Mechanics of particles and systems (70-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 Approximations and expansions (41-XX)
1 Mechanics of deformable solids (74-XX)

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