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Margulis, Grigoriĭ Aleksandrovich

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Author ID: margulis.gregory-a Recent zbMATH articles by "Margulis, Grigoriĭ Aleksandrovich"
Published as: Margulis, G. A.; Margulis, Gregory; Margulis, Gregory A.; Margulis, Gregori Aleksandrovitch; Margulis, G.; Margulis, Grigorii Aleksandrovich; Margulis, Gregori Aleksandrovich; Margulis, Grigorij A.; Margulis, Grigori A.; Margulis, Gregori
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor
Awards: Fields Medal (1978) · Wolf Prize (2005) · Abel Prize (2020)
Documents Indexed: 126 Publications since 1966, including 3 Books
Biographic References: 7 Publications
all top 5

Co-Authors

53 single-authored
11 Kleinbock, Dmitry Ya.
9 Soifer, Grigoriĭ Aleksandrovich
7 Dani, Shrikrishna Gopalrao
6 Abels, Herbert
6 Novikov, Sergeĭ Petrovich
5 Eskin, Alex
4 Faddeev, Lyudvig Dmitrievich
4 Mozes, Shahar
4 Rapinchuk, Andrei S.
4 Zel’manov, Efim Isaakovich
3 Adyan, Sergeĭ Ivanovich
3 Athreya, Jayadev S.
3 Benyash-Krivets, Valeriĭ Vatslavovich
3 Bukhshtaber, Viktor Matveevich
3 Einsiedler, Manfred Leopold
3 Fisher, David Michael
3 Gol’dshejd, I. Ya.
3 Kozlov, Valeriĭ Vasil’evich
3 Lindenstrauss, Elon
3 Mohammadi, Amir
3 Parshin, Alexei N.
3 Prasad, Gopal
3 Tomanov, Georges Metodiev
2 Beresnevich, Victor V.
2 Bernik, Vasiliĭ Ivanovich
2 Chernousov, Vladimir I.
2 Goldman, William M.
2 Karlsson, Anders
2 Li, Han
2 Mostow, George Daniel
2 Omel’chenko, A. S.
2 Reshetnyak, Yuriĭ Grigor’evich
2 Venkatesh, Akshay
1 Aptekarev, Alexander Ivanovich
1 Bokut, Leonid A.
1 Chirka, Evgeni M.
1 Ellwood, David Alexandre
1 Fuchs, Dmitry Borisovich
1 Gelander, Tsachik
1 Golod, Evgeniĭ Solomonovich
1 Grigorchuk, Rostislav Ivanovich
1 Gromov, Mikhael Leonidovich
1 Grunewald, Fritz J.
1 Huckleberry, Alan Trinler
1 Ilyashenko, Yulij Sergeevich
1 Kac, Victor G.
1 Kashin, Boris Sergeevich
1 Kazhdan, David A.
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 Lvovich
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 Mal’tsev, Arkadiĭ Anatol’evich
1 Mal’tsev, Yuriĭ Nikolaevich
1 Manin, Yuri 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 Schwarz, Albert S.
1 Shestakov, Ivan Pavlovich
1 Shevrin, Lev Naumovich
1 Shiryaev, Al’bert Nikolaevich
1 Sinaĭ, Yakov Grigor’evich
1 Stein, Elias Menachem
1 Suetin, Sergeĭ Pavlovich
1 Taimanov, Iskander Asanovich
1 Treshchev, Dmitriĭ Valer’evich
1 Vasil’ev, Viktor Anatol’evich
1 Vinberg, Èrnest Borisovich
1 Wang, Junbo
1 Yakovlev, Anatoliĭ Vladimirovich
1 Yanchevskii, Vyacheslav Ivanovich
1 Yoccoz, Jean-Christophe
1 Zhelyabin, Viktor Nikolaevich
1 Zhizhchenko, Alexey B.
all top 5

Serials

8 Russian Mathematical Surveys
8 Functional Analysis and its Applications
8 Inventiones Mathematicae
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 Geometric and Functional Analysis. GAFA
3 Journal d’Analyse Mathématique
3 Problems of Information Transmission
3 Uspekhi Matematicheskikh Nauk [N. S.]
3 Funktsional’nyĭ Analiz i ego Prilozheniya
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 Ergodic Theory and Dynamical Systems
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 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 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

110 Publications have been cited 2,446 times in 1,654 Documents Cited by Year
Discrete subgroups of semisimple Lie groups. Zbl 0732.22008
Margulis, G. A.
382
1991
Flows on homogeneous spaces and Diophantine approximation on manifolds. Zbl 0922.11061
Kleinbock, D. Y.; Margulis, G. A.
110
1998
Logarithm laws for flows on homogeneous spaces. Zbl 0934.22016
Kleinbock, D. Y.; Margulis, G. A.
89
1999
Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators. Zbl 0708.05030
Margulis, G. A.
75
1988
Explicit construction of a concentrator. Zbl 0312.22011
Margulis, G. A.
67
1973
Applications of ergodic theory to the investigation of manifolds of negative curvature. Zbl 0207.20305
Margulis, G. A.
66
1969
Bounded orbits of nonquasiunipotent flows on homogeneous spaces. Zbl 0843.22027
Kleinbock, D. Y.; Margulis, G. A.
61
1996
Limit distributions of orbits of unipotent flows and values of quadratic forms. Zbl 0814.22003
Dani, S. G.; Margulis, G. A.
61
1993
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces. Zbl 0816.22004
Margulis, G. A.; Tomanov, G. M.
59
1994
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.
55
2004
Explicit constructions of graphs without short cycles and low density codes. Zbl 0492.05044
Margulis, G. A.
51
1982
Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture. Zbl 0906.11035
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
50
1998
Lyapunov indices of a product of random matrices. Zbl 0705.60012
Gol’dshejd, I. Ya.; Margulis, G. A.
46
1989
Problems and conjectures in rigidity theory. Zbl 0952.22005
Margulis, Gregory
43
2000
Khintchine-type theorems on manifolds: The convergence case for standard and multiplicative versions. Zbl 0986.11053
Bernik, V.; Kleinbock, D.; Margulis, G. A.
41
2001
Certain measures associated with U-flows on compact manifolds. Zbl 0245.58003
Margulis, G. A.
36
1970
The differential of a quasi-conformal mapping of a Carnot-Carathéodory space. Zbl 0910.30020
Margulis, G. A.; Mostow, G. D.
34
1995
Discrete groups of motions of manifolds of nonpositive curvature. Zbl 0367.57012
Margulis, G. A.
33
1977
Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1. Zbl 0551.20028
Margulis, G. A.
33
1984
A multiplicative ergodic theorem and nonpositively curved spaces. Zbl 0979.37006
Karlsson, Anders; Margulis, Gregory A.
32
1999
Finitely-additive invariant measures on Euclidean spaces. Zbl 0532.28012
Margulis, G. A.
32
1982
Probabilistic properties of graphs with large connectivity. Zbl 0322.05147
Margulis, G. A.
30
1974
Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces. Zbl 1176.37003
Einsiedler, Manfred; Margulis, G.; Venkatesh, Akshay
29
2009
Orbit closures of generic unipotent flows on homogeneous spaces of \(SL(3,{\mathbb{R}})\). Zbl 0679.22007
Dani, S. G.; Margulis, G. A.
28
1990
Maximal subgroups of infinite index in finitely generated linear groups. Zbl 0457.20046
Margulis, G. A.; Sojfer, G. A.
28
1981
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.
28
2002
Some remarks on the definition of tangent cones in a Carnot-Carathéodory space. Zbl 0971.58004
Margulis, G. A.; Mostow, G. D.
27
2000
Discrete subgroups and ergodic theory. Zbl 0675.10010
Margulis, G. A.
26
1989
Values of quadratic forms at primitive integral points. Zbl 0682.22008
Dani, S. G.; Margulis, G. A.
26
1989
Almost isometric actions, property (T), and local rigidity. Zbl 1076.22008
Fisher, David; Margulis, Gregory
24
2005
Free subgroups of the homeomorphism group of the circle. Zbl 0983.37029
Margulis, Gregory
23
2000
Complete affine locally flat manifolds with free fundamental group. Zbl 0611.57023
Margulis, G. A.
23
1987
Some remarks on invariant means. Zbl 0425.43001
Margulis, G. A.
22
1980
Recurrence properties of random walks on finite volume homogeneous manifolds. Zbl 1064.60092
Eskin, Alex; Margulis, Gregory
22
2004
Semigroups containing proximal linear maps. Zbl 0845.22004
Abels, Herbert; Margulis, G. A.; Soifer, G. A.
21
1995
Logarithm laws for unipotent flows. I. Zbl 1184.37007
Athreya, Jayadev S.; Margulis, Gregory A.
21
2009
Positive harmonic functions on nilpotent groups. Zbl 0187.38902
Margulis, G. A.
20
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
19
1987
Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces. Zbl 0731.22008
Dani, S. G.; Margulis, G. A.
19
1991
Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori. Zbl 1075.11049
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
19
2005
Superrigidity, generalized harmonic maps and uniformly convex spaces. Zbl 1156.22005
Gelander, Tsachik; Karlsson, Anders; Margulis, Gregory A.
18
2008
Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory. Zbl 0747.58017
Margulis, Grigorij A.
17
1991
Lyapunov exponents of a random matrix product. Zbl 0687.60008
Gol’dshejd, I. Ya.; Margulis, G. A.
17
1989
Some linear groups virtually having a free quotient. Zbl 0958.22008
Margulis, G. A.; Vinberg, È. B.
16
2000
Arithmetic properties of discrete subgroups. Zbl 0299.22010
Margulis, G. A.
16
1974
Proper affine actions and geodesic flows of hyperbolic surfaces. Zbl 1193.57001
Goldman, William M.; Labourie, François; Margulis, Gregory
15
2009
Free totally discontinuous groups of affine transformations. Zbl 0578.57012
Margulis, G. A.
14
1983
Finiteness of factor groups of discrete subgroups. Zbl 0423.22015
Margulis, G. A.
14
1979
Finiteness of quotient groups of discrete subgroups. Zbl 0434.22013
Margulis, G. A.
14
1980
Measure rigidity for almost linear groups and its applications. Zbl 0864.22005
Margulis, G. A.; Tomanov, G. M.
13
1996
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.
13
2017
Invariant analytic hypersurfaces. Zbl 0507.32024
Huckleberry, A. T.; Margulis, G. A.
13
1983
Local rigidity of affine actions of higher rank groups and lattices. Zbl 1186.22015
Fisher, David; Margulis, Gregory
13
2009
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.
13
2002
On effective equidistribution of expanding translates of certain orbits in the space of lattices. Zbl 1262.37005
Kleinbock, D. Y.; Margulis, G. A.
12
2012
Flat Lorentz 3-manifolds and cocompact Fuchsian groups. Zbl 1039.53074
Goldman, William M.; Margulis, Gregory A.
12
2000
Discrete groups of motions of manifolds of non-positive curvature. Zbl 0336.57037
Margulis, G. A.
12
1975
Properly discontinuous groups of affine transformations with orthogonal linear part. Zbl 0933.22015
Abels, Herbert; Margulis, Grigori A.; Soifer, Grigori A.
11
1997
Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure. Zbl 0706.57022
Grunewald, Fritz; Margulis, Gregori
11
1988
Rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices. Zbl 0976.22009
Margulis, Gregory A.; Qian, Nantian
11
2001
Metric Diophantine approximation for systems of linear forms via dynamics. Zbl 1211.11086
Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo
11
2010
Non-uniform lattices in semisimple algebraic groups. Zbl 0316.22009
Margulis, G. A.
11
1975
Isometry of closed manifolds of constant negative curvature with the same fundamental group. Zbl 0213.48202
Margulis, G. A.
11
1970
Complete affine locally flat manifolds with free fundamental group. Zbl 0547.57030
Margulis, G. A.
11
1984
Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients. Zbl 0892.22009
Margulis, Gregory
10
1997
Beweis einer Vermutung von Selberg. Zbl 0241.22024
Kazhdan, D. A.; Margulis, G. A.
10
1969
Effective estimates on indefinite ternary forms. Zbl 1308.37002
Lindenstrauss, Elon; Margulis, Gregory
9
2014
Analogs of Wiener’s ergodic theorems for semisimple Lie groups. II. Zbl 0978.22006
Margulis, G. A.; Nevo, A.; Stein, Elias M.
9
2000
On the multiplicative group of a quaternion algebra over a global field. Zbl 0503.12011
Margulis, G. A.
9
1980
Quotient groups of discrete subgroups and measure theory. Zbl 0423.28012
Margulis, G. A.
9
1979
Local rigidity for cocycles. Zbl 1062.22044
Fisher, David; Margulis, G. A.
9
2003
Values of quadratic forms at integral points: An elementary approach. Zbl 0833.11026
Dani, S. G.; Margulis, G. A.
8
1990
Aperiodic tilings of the hyperbolic plane by convex polygons. Zbl 0928.52012
Margulis, G. A.; Mozes, S.
8
1998
Indefinite quadratic forms and unipotent flows on homogeneous spaces. Zbl 0689.10026
Margulis, G. A.
8
1989
Non-planarity and metric Diophantine approximation for systems of linear forms. Zbl 1375.11053
Beresnevich, Victor; Kleinbock, Dmitry; Margulis, Gregory
7
2015
Cobounded subgroups of algebraic groups over local fields. Zbl 0412.22007
Margulis, G. A.
7
1977
Über die Operation unipotenter Gruppen in einem Gitterraum. Zbl 0257.54037
Margulis, G. A.
7
1971
Coarsely geodesic metrics on reductive groups. Zbl 1151.22008
Abels, Herbert; Margulis, Gregory
7
2004
Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms. Zbl 1243.11054
Margulis, Gregory; Mohammadi, Amir
7
2011
Closed geodesics and holonomies for Kleinian manifolds. Zbl 1366.53040
Margulis, Gregory; Mohammadi, Amir; Oh, Hee
6
2014
Values of random polynomials at integer points. Zbl 1454.11126
Athreya, Jayadev S.; Margulis, Gregory A.
6
2018
On the decomposition of discrete subgroups into amalgams. Zbl 0515.20031
Margulis, G. A.
6
1981
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.
6
2011
Arithmeticity of nonuniform lattices in weakly noncompact groups. Zbl 0316.22008
Margulis, G. A.
5
1975
Diophantine approximation, lattices and flows on homogeneous spaces. Zbl 1036.11033
Margulis, Gregory
5
2002
A condition for simplicity of the spectrum of Lyapunov exponents. Zbl 0638.15010
Gol’dshejd, I. Ya.; Margulis, G. A.
4
1987
Discrete subgroups of real semi-simple Lie groups. Zbl 0226.22012
Margulis, G. A.
4
1969
Measure rigidity for algebraic groups over local fields. Zbl 0789.22023
Margulis, Gregori Aleksandrovitch; Tomanov, Georges Metodiev
4
1992
Lie groups and ergodic theory. Zbl 0667.22005
Margulis, G. A.
4
1988
Erratum to: “Logarithm laws for flows on homogeneous spaces”. Zbl 1404.22021
Kleinbock, D. Y.; Margulis, G. A.
3
2018
Compactness of minimal closed invariant sets of actions of unipotent groups. Zbl 0733.22005
Margulis, G. A.
3
1991
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.
3
2005
Factor groups of discrete subgroups. Zbl 0429.20044
Margulis, G. A.
3
1978
Arithmeticality of nonuniform lattices. Zbl 0286.22010
Margulis, G. A.
3
1974
On the action of unipotent groups in the space of lattices. Zbl 0305.22014
Margulis, G. A.
3
1975
On the arithmeticity of discrete groups. Zbl 0243.22008
Margulis, G. A.
3
1969
Random walks on the space of lattices and the finiteness of covolumes of arithmetic subgroups. Zbl 1110.22005
Margulis, G.
3
2004
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
Orbits of group actions and values of quadratic forms at integral points. Zbl 0718.11027
Margulis, G. A.
2
1990
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.
2
2016
Values of random polynomials at integer points. Zbl 1454.11126
Athreya, Jayadev S.; Margulis, Gregory A.
6
2018
Erratum to: “Logarithm laws for flows on homogeneous spaces”. Zbl 1404.22021
Kleinbock, D. Y.; Margulis, G. A.
3
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.
13
2017
Logarithm laws for unipotent flows. II. Zbl 1402.37003
Athreya, Jayadev S.; Margulis, Gregory A.
1
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.
2
2016
Non-planarity and metric Diophantine approximation for systems of linear forms. Zbl 1375.11053
Beresnevich, Victor; Kleinbock, Dmitry; Margulis, Gregory
7
2015
Effective estimates on indefinite ternary forms. Zbl 1308.37002
Lindenstrauss, Elon; Margulis, Gregory
9
2014
Closed geodesics and holonomies for Kleinian manifolds. Zbl 1366.53040
Margulis, Gregory; Mohammadi, Amir; Oh, Hee
6
2014
On effective equidistribution of expanding translates of certain orbits in the space of lattices. Zbl 1262.37005
Kleinbock, D. Y.; Margulis, G. A.
12
2012
Quantitative version of the Oppenheim conjecture for inhomogeneous quadratic forms. Zbl 1243.11054
Margulis, Gregory; Mohammadi, Amir
7
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.
6
2011
Metric Diophantine approximation for systems of linear forms via dynamics. Zbl 1211.11086
Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo
11
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
Einsiedler, Manfred Leopold; Ellwood, David Alexandre; Eskin, Alex; Kleinbock, Dmitry; Lindenstrauss, Elon; Margulis, Gregory; Marmi, Stefano; Yoccoz, Jean-Christophe
1
2010
Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces. Zbl 1176.37003
Einsiedler, Manfred; Margulis, G.; Venkatesh, Akshay
29
2009
Logarithm laws for unipotent flows. I. Zbl 1184.37007
Athreya, Jayadev S.; Margulis, Gregory A.
21
2009
Proper affine actions and geodesic flows of hyperbolic surfaces. Zbl 1193.57001
Goldman, William M.; Labourie, François; Margulis, Gregory
15
2009
Local rigidity of affine actions of higher rank groups and lattices. Zbl 1186.22015
Fisher, David; Margulis, Gregory
13
2009
Superrigidity, generalized harmonic maps and uniformly convex spaces. Zbl 1156.22005
Gelander, Tsachik; Karlsson, Anders; Margulis, Gregory A.
18
2008
Almost isometric actions, property (T), and local rigidity. Zbl 1076.22008
Fisher, David; Margulis, Gregory
24
2005
Quadratic forms of signature \((2,2)\) and eigenvalue spacings on rectangular 2-tori. Zbl 1075.11049
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
19
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.
3
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.
55
2004
Recurrence properties of random walks on finite volume homogeneous manifolds. Zbl 1064.60092
Eskin, Alex; Margulis, Gregory
22
2004
Coarsely geodesic metrics on reductive groups. Zbl 1151.22008
Abels, Herbert; Margulis, Gregory
7
2004
Random walks on the space of lattices and the finiteness of covolumes of arithmetic subgroups. Zbl 1110.22005
Margulis, G.
3
2004
Local rigidity for cocycles. Zbl 1062.22044
Fisher, David; Margulis, G. A.
9
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.
28
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.
13
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.
41
2001
Rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices. Zbl 0976.22009
Margulis, Gregory A.; Qian, Nantian
11
2001
Problems and conjectures in rigidity theory. Zbl 0952.22005
Margulis, Gregory
43
2000
Some remarks on the definition of tangent cones in a Carnot-Carathéodory space. Zbl 0971.58004
Margulis, G. A.; Mostow, G. D.
27
2000
Free subgroups of the homeomorphism group of the circle. Zbl 0983.37029
Margulis, Gregory
23
2000
Some linear groups virtually having a free quotient. Zbl 0958.22008
Margulis, G. A.; Vinberg, È. B.
16
2000
Flat Lorentz 3-manifolds and cocompact Fuchsian groups. Zbl 1039.53074
Goldman, William M.; Margulis, Gregory A.
12
2000
Analogs of Wiener’s ergodic theorems for semisimple Lie groups. II. Zbl 0978.22006
Margulis, G. A.; Nevo, A.; Stein, Elias M.
9
2000
Logarithm laws for flows on homogeneous spaces. Zbl 0934.22016
Kleinbock, D. Y.; Margulis, G. A.
89
1999
A multiplicative ergodic theorem and nonpositively curved spaces. Zbl 0979.37006
Karlsson, Anders; Margulis, Gregory A.
32
1999
Flows on homogeneous spaces and Diophantine approximation on manifolds. Zbl 0922.11061
Kleinbock, D. Y.; Margulis, G. A.
110
1998
Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture. Zbl 0906.11035
Eskin, Alex; Margulis, Gregory; Mozes, Shahar
50
1998
Aperiodic tilings of the hyperbolic plane by convex polygons. Zbl 0928.52012
Margulis, G. A.; Mozes, S.
8
1998
Properly discontinuous groups of affine transformations with orthogonal linear part. Zbl 0933.22015
Abels, Herbert; Margulis, Grigori A.; Soifer, Grigori A.
11
1997
Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients. Zbl 0892.22009
Margulis, Gregory
10
1997
Bounded orbits of nonquasiunipotent flows on homogeneous spaces. Zbl 0843.22027
Kleinbock, D. Y.; Margulis, G. A.
61
1996
Measure rigidity for almost linear groups and its applications. Zbl 0864.22005
Margulis, G. A.; Tomanov, G. M.
13
1996
The differential of a quasi-conformal mapping of a Carnot-Carathéodory space. Zbl 0910.30020
Margulis, G. A.; Mostow, G. D.
34
1995
Semigroups containing proximal linear maps. Zbl 0845.22004
Abels, Herbert; Margulis, G. A.; Soifer, G. A.
21
1995
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces. Zbl 0816.22004
Margulis, G. A.; Tomanov, G. M.
59
1994
Limit distributions of orbits of unipotent flows and values of quadratic forms. Zbl 0814.22003
Dani, S. G.; Margulis, G. A.
61
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.
382
1991
Asymptotic behaviour of trajectories of unipotent flows on homogeneous spaces. Zbl 0731.22008
Dani, S. G.; Margulis, G. A.
19
1991
Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory. Zbl 0747.58017
Margulis, Grigorij A.
17
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.
28
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.
2
1990
Lyapunov indices of a product of random matrices. Zbl 0705.60012
Gol’dshejd, I. Ya.; Margulis, G. A.
46
1989
Discrete subgroups and ergodic theory. Zbl 0675.10010
Margulis, G. A.
26
1989
Values of quadratic forms at primitive integral points. Zbl 0682.22008
Dani, S. G.; Margulis, G. A.
26
1989
Lyapunov exponents of a random matrix product. Zbl 0687.60008
Gol’dshejd, I. Ya.; Margulis, G. A.
17
1989
Indefinite quadratic forms and unipotent flows on homogeneous spaces. Zbl 0689.10026
Margulis, G. A.
8
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.
75
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.
23
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
19
1987
A condition for simplicity of the spectrum of Lyapunov exponents. Zbl 0638.15010
Gol’dshejd, I. Ya.; Margulis, G. A.
4
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.
33
1984
Complete affine locally flat manifolds with free fundamental group. Zbl 0547.57030
Margulis, G. A.
11
1984
Free totally discontinuous groups of affine transformations. Zbl 0578.57012
Margulis, G. A.
14
1983
Invariant analytic hypersurfaces. Zbl 0507.32024
Huckleberry, A. T.; Margulis, G. A.
13
1983
Explicit constructions of graphs without short cycles and low density codes. Zbl 0492.05044
Margulis, G. A.
51
1982
Finitely-additive invariant measures on Euclidean spaces. Zbl 0532.28012
Margulis, G. A.
32
1982
Maximal subgroups of infinite index in finitely generated linear groups. Zbl 0457.20046
Margulis, G. A.; Sojfer, G. A.
28
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.
22
1980
Finiteness of quotient groups of discrete subgroups. Zbl 0434.22013
Margulis, G. A.
14
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.
14
1979
Quotient groups of discrete subgroups and measure theory. Zbl 0423.28012
Margulis, G. A.
9
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.
1
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.
1
1978
Discrete groups of motions of manifolds of nonpositive curvature. Zbl 0367.57012
Margulis, G. A.
33
1977
Cobounded subgroups of algebraic groups over local fields. Zbl 0412.22007
Margulis, G. A.
7
1977
Discrete groups of motions of manifolds of non-positive curvature. Zbl 0336.57037
Margulis, G. A.
12
1975
Non-uniform lattices in semisimple algebraic groups. Zbl 0316.22009
Margulis, G. A.
11
1975
Arithmeticity of nonuniform lattices in weakly noncompact groups. Zbl 0316.22008
Margulis, G. A.
5
1975
On the action of unipotent groups in the space of lattices. Zbl 0305.22014
Margulis, G. A.
3
1975
Probabilistic properties of graphs with large connectivity. Zbl 0322.05147
Margulis, G. A.
30
1974
Arithmetic properties of discrete subgroups. Zbl 0299.22010
Margulis, G. A.
16
1974
Arithmeticality of nonuniform lattices. Zbl 0286.22010
Margulis, G. A.
3
1974
Arithmetische Eigenschaften diskreter Untergruppen. Zbl 0298.22011
Margulis, G. A.
2
1974
...and 10 more Documents
all top 5

Cited by 1,469 Authors

35 Margulis, Grigoriĭ Aleksandrovich
25 Einsiedler, Manfred Leopold
25 Oh, Hee
23 Kleinbock, Dmitry Ya.
21 Gorodnik, Alexander
18 Benoist, Yves
18 Gelander, Tsachik
18 Ghosh, Anish
17 Lubotzky, Alexander
16 Lindenstrauss, Elon
16 Mohammadi, Amir
16 Shah, Nimish A.
13 Beresnevich, Victor V.
13 Marklof, Jens
13 Mozes, Shahar
13 Simmons, David
13 Zimmer, Robert J.
12 Athreya, Jayadev S.
12 Bader, Uri
12 Caprace, Pierre-Emmanuel
12 Goldman, William M.
12 Weiss, Barak
11 Eskin, Alex
11 Katok, Anatole B.
11 Nevo, Amos
11 Pollicott, Mark
11 Quint, Jean-François
11 Reid, Alan W.
11 Ustimenko, Vasiliy A.
10 Breuillard, Emmanuel
10 Charette, Virginie
10 Furman, Alex
10 Popa, Sorin Teodor
10 Rapinchuk, Andrei S.
10 Shi, Ronggang
10 Soifer, Grigoriĭ Aleksandrovich
10 Spatzier, Ralf J.
9 Alon, Noga M.
9 Fisher, David Michael
9 Fishman, Lior
9 Guivarc’h, Yves
9 Ioana, Adrian
9 Salehi Golsefidy, Alireza
9 Shapira, Uri
8 Dani, Shrikrishna Gopalrao
8 Le Donne, Enrico
8 Long, Darren D.
8 Prasad, Gopal
8 Rodriguez-Hertz, Federico
8 Sarnak, Peter Clive
7 Aka, Menny
7 Belolipetsky, Mikhail V.
7 Bowen, Lewis Phylip
7 Dolgopyat, Dmitry
7 Knieper, Gerhard
7 Ledrappier, François
7 Li, Han
7 McReynolds, David Ben
7 Monod, Nicolas
7 Paulin, Frédéric
7 Ratner, Marina
7 Velani, Sanju L.
7 Venkatesh, Akshay
7 Wang, Zhenqi Jenny
6 Bekka, Mohammed el Bachir
6 Bernik, Vasiliĭ Ivanovich
6 Budarina, Natalia Viktorovna
6 de Cornulier, Yves
6 Drumm, Todd A.
6 Grunewald, Fritz J.
6 Kelmer, Dubi
6 Labourie, François
6 Lim, Seonhee
6 Rémy, Bertrand
6 Sarig, Omri M.
6 Sharp, Richard W.
6 Tomanov, Georges Metodiev
6 Urbański, Mariusz
6 Witte Morris, Dave
6 Wu, Weisheng
5 Björklund, Michael
5 Borel, Armand
5 Boumaza, Hakim
5 Bourgain, Jean
5 Burger, Marc
5 Damjanović, Danijela
5 de Laat, Tim
5 Forni, Giovanni
5 Gamburd, Alexander
5 Ji, Lizhen
5 Kassabov, Martin
5 Kassel, Fanny
5 Klingler, Bruno
5 Lalley, Steven P.
5 Leuzinger, Enrico
5 Levit, Arie
5 Lifschitz, Lucy
5 Perez, Joe J.
5 Raghunathan, Madabusi Santanam
5 Rühr, Rene
...and 1,369 more Authors
all top 5

Cited in 252 Serials

81 Duke Mathematical Journal
76 Ergodic Theory and Dynamical Systems
74 Israel Journal of Mathematics
71 Inventiones Mathematicae
48 Geometriae Dedicata
44 Proceedings of the American Mathematical Society
44 Geometric and Functional Analysis. GAFA
41 Transactions of the American Mathematical Society
37 Journal of Modern Dynamics
36 Advances in Mathematics
36 Annals of Mathematics. Second Series
34 Mathematische Annalen
32 Annales de l’Institut Fourier
31 Journal of Functional Analysis
31 Bulletin of the American Mathematical Society. New Series
29 Mathematische Zeitschrift
28 Journal of Algebra
27 Journal of the American Mathematical Society
25 Compositio Mathematica
22 Journal of Number Theory
19 Monatshefte für Mathematik
19 Algebraic & Geometric Topology
18 Groups, Geometry, and Dynamics
17 Discrete and Continuous Dynamical Systems
17 Geometry & Topology
16 Discrete Mathematics
16 Journal d’Analyse Mathématique
15 Mathematical Proceedings of the Cambridge Philosophical Society
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 Publications Mathématiques
14 Combinatorica
13 Communications in Mathematical Physics
13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
13 Journal of the European Mathematical Society (JEMS)
12 Journal für die Reine und Angewandte Mathematik
12 Transformation Groups
11 Acta Mathematica
11 Theoretical Computer Science
9 The Annals of Probability
8 Journal of Combinatorial Theory. Series B
8 Journal of the London Mathematical Society. Second Series
8 Topology and its Applications
7 Communications in Algebra
7 Journal of Pure and Applied Algebra
7 European Journal of Combinatorics
7 Annals of Global Analysis and Geometry
7 International Journal of Algebra and Computation
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Journal of Mathematical Sciences (New York)
6 Mathematika
6 SIAM Journal on Computing
6 Differential Geometry and its Applications
6 The Journal of Geometric Analysis
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Doklady Mathematics
6 Annales Henri Poincaré
6 International Journal of Number Theory
6 Journal of Topology and Analysis
6 Forum of Mathematics, Sigma
5 Discrete Applied Mathematics
5 Information Processing Letters
5 Journal of Statistical Physics
5 Mathematical Notes
5 Journal of Geometry and Physics
5 Memoirs of the American Mathematical Society
5 Probability Theory and Related Fields
5 Forum Mathematicum
5 International Journal of Mathematics
5 St. Petersburg Mathematical Journal
5 Selecta Mathematica. New Series
5 Electronic Research Announcements of the American Mathematical Society
5 Journal of Group Theory
5 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica
4 Bulletin of the Australian Mathematical Society
4 Archiv der Mathematik
4 Commentarii Mathematici Helvetici
4 Functional Analysis and its Applications
4 Journal of Graph Theory
4 Journal of Soviet Mathematics
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Siberian Mathematical Journal
4 Designs, Codes and Cryptography
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Linear Algebra and its Applications
4 Conformal Geometry and Dynamics
4 Central European Journal of Mathematics
4 Chebyshevskiĭ Sbornik
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Topology
3 Problems of Information Transmission
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Acta Arithmetica
3 Bulletin de la Société Mathématique de France
3 Journal of Computer and System Sciences
3 Journal of Differential Equations
3 Manuscripta Mathematica
3 Proceedings of the Japan Academy. Series A
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Information and Computation
3 L’Enseignement Mathématique. 2e Série
...and 152 more Serials
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Cited in 54 Fields

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

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