Edit Profile (opens in new tab) Margulis, Grigoriĭ Aleksandrovich Co-Author Distance Author ID: margulis.gregory-a 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 more...less 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) Documents Indexed: 134 Publications since 1966, including 2 Books and 5 Additional arXiv Preprints 2 Contributions as Editor · 4 Further Contributions Reviewing Activity: 21 Reviews Biographic References: 10 Publications Co-Authors: 99 Co-Authors with 85 Joint Publications 3,878 Co-Co-Authors 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 all top 5 Fields 80 Topological groups, Lie groups (22-XX) 40 Number theory (11-XX) 34 Dynamical systems and ergodic theory (37-XX) 22 Group theory and generalizations (20-XX) 20 Differential geometry (53-XX) 19 Manifolds and cell complexes (57-XX) 15 Measure and integration (28-XX) 12 Abstract harmonic analysis (43-XX) 10 History and biography (01-XX) 10 Probability theory and stochastic processes (60-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 2 Systems theory; control (93-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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. 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Series A ...and 201 more Serials all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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