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Author ID: ratner.marina Recent zbMATH articles by "Ratner, Marina"
Published as: Ratner, Marina; Ratner, M.
External Links: Women in Mathematics · MacTutor · MGP · Wikidata
Documents Indexed: 28 Publications since 1973
1 Further Contribution
Biographic References: 9 Publications

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 1,022 times in 607 Documents Cited by Year
On Raghunathan’s measure conjecture. Zbl 0763.28012
Ratner, Marina
174
1991
Raghunathan’s topological conjecture and distributions of unipotent flows. Zbl 0733.22007
Ratner, Marina
150
1991
Markov partitions for Anosov flows on \(n\)-dimensional manifolds. Zbl 0269.58010
Ratner, M.
84
1973
Horocycle flows, joinings and rigidity of products. Zbl 0556.28020
Ratner, Marina
76
1983
The central limit theorem for geodesic flows on \(n\)-dimensional manifolds of negative curvature. Zbl 0283.58010
Ratner, M.
73
1974
On measure rigidity of unipotent subgroups of semisimple groups. Zbl 0745.28010
Ratner, Marina
54
1990
The rate of mixing for geodesic and horocycle flows. Zbl 0623.22008
Ratner, Marina
54
1987
Rigidity of horocycle flows. Zbl 0506.58030
Ratner, Marina
47
1982
Raghunathan’s conjectures for Cartesian products of real and \(p\)-adic Lie groups. Zbl 0914.22016
Ratner, Marina
39
1995
Strict measure rigidity for unipotent subgroups of solvable groups. Zbl 0745.28009
Ratner, Marina
38
1990
Anosov flows with Gibbs measures are also Bernoullian. Zbl 0304.28011
Ratner, M.
30
1974
Invariant measures and orbit closures for unipotent actions on homogeneous spaces. Zbl 0801.22008
Ratner, M.
24
1994
Factors of horocycle flows. Zbl 0536.58029
Ratner, Marina
20
1982
Interactions between ergodic theory, Lie groups, and number theory. Zbl 0923.22002
Ratner, Marina
20
1995
Bernoulli flows over maps of the interval. Zbl 0435.58022
Ratner, M.
19
1978
Horocycle flows are loosely Bernoulli. Zbl 0417.58013
Ratner, Marina
19
1978
The Cartesian square of the horocycle flow is not loosely Bernoulli. Zbl 0437.28010
Ratner, Marina
17
1979
Rigidity of time changes for horocycle flows. Zbl 0694.58036
Ratner, Marina
15
1986
Raghunathan’s conjectures for \(SL(2,{\mathbb{R}{}})\). Zbl 0785.22013
Ratner, Marina
14
1992
Rigid reparametrizations and cohomology for horocycle flows. Zbl 0697.58046
Ratner, Marina
10
1987
Some invariants of Kakutani equivalence. Zbl 0482.28031
Ratner, Marina
9
1981
Raghunathan’s conjectures for \(p\)-adic Lie groups. Zbl 0801.22007
Ratner, Marina
9
1993
Ergodic theory in hyperbolic space. Zbl 0548.58034
Ratner, Marina
8
1984
Distribution rigidity for unipotent actions on homogeneous spaces. Zbl 0733.22006
Ratner, Marina
8
1991
Invariant measures for unipotent translations on homogeneous spaces. Zbl 0819.22004
Ratner, Marina
6
1990
On the \(p\)-adic and \(S\)-arithmetic generalizations of Raghunathan’s conjectures. Zbl 0943.22010
Ratner, Marina
4
1998
Time change invariants for measure preserving flows. Zbl 1384.37005
Ratner, Marina
1
2017
Time change invariants for measure preserving flows. Zbl 1384.37005
Ratner, Marina
1
2017
On the \(p\)-adic and \(S\)-arithmetic generalizations of Raghunathan’s conjectures. Zbl 0943.22010
Ratner, Marina
4
1998
Raghunathan’s conjectures for Cartesian products of real and \(p\)-adic Lie groups. Zbl 0914.22016
Ratner, Marina
39
1995
Interactions between ergodic theory, Lie groups, and number theory. Zbl 0923.22002
Ratner, Marina
20
1995
Invariant measures and orbit closures for unipotent actions on homogeneous spaces. Zbl 0801.22008
Ratner, M.
24
1994
Raghunathan’s conjectures for \(p\)-adic Lie groups. Zbl 0801.22007
Ratner, Marina
9
1993
Raghunathan’s conjectures for \(SL(2,{\mathbb{R}{}})\). Zbl 0785.22013
Ratner, Marina
14
1992
On Raghunathan’s measure conjecture. Zbl 0763.28012
Ratner, Marina
174
1991
Raghunathan’s topological conjecture and distributions of unipotent flows. Zbl 0733.22007
Ratner, Marina
150
1991
Distribution rigidity for unipotent actions on homogeneous spaces. Zbl 0733.22006
Ratner, Marina
8
1991
On measure rigidity of unipotent subgroups of semisimple groups. Zbl 0745.28010
Ratner, Marina
54
1990
Strict measure rigidity for unipotent subgroups of solvable groups. Zbl 0745.28009
Ratner, Marina
38
1990
Invariant measures for unipotent translations on homogeneous spaces. Zbl 0819.22004
Ratner, Marina
6
1990
The rate of mixing for geodesic and horocycle flows. Zbl 0623.22008
Ratner, Marina
54
1987
Rigid reparametrizations and cohomology for horocycle flows. Zbl 0697.58046
Ratner, Marina
10
1987
Rigidity of time changes for horocycle flows. Zbl 0694.58036
Ratner, Marina
15
1986
Ergodic theory in hyperbolic space. Zbl 0548.58034
Ratner, Marina
8
1984
Horocycle flows, joinings and rigidity of products. Zbl 0556.28020
Ratner, Marina
76
1983
Rigidity of horocycle flows. Zbl 0506.58030
Ratner, Marina
47
1982
Factors of horocycle flows. Zbl 0536.58029
Ratner, Marina
20
1982
Some invariants of Kakutani equivalence. Zbl 0482.28031
Ratner, Marina
9
1981
The Cartesian square of the horocycle flow is not loosely Bernoulli. Zbl 0437.28010
Ratner, Marina
17
1979
Bernoulli flows over maps of the interval. Zbl 0435.58022
Ratner, M.
19
1978
Horocycle flows are loosely Bernoulli. Zbl 0417.58013
Ratner, Marina
19
1978
The central limit theorem for geodesic flows on \(n\)-dimensional manifolds of negative curvature. Zbl 0283.58010
Ratner, M.
73
1974
Anosov flows with Gibbs measures are also Bernoullian. Zbl 0304.28011
Ratner, M.
30
1974
Markov partitions for Anosov flows on \(n\)-dimensional manifolds. Zbl 0269.58010
Ratner, M.
84
1973
all top 5

Cited by 467 Authors

21 Oh, Hee
18 Mohammadi, Amir
18 Shah, Nimish A.
17 Kanigowski, Adam
17 Ratner, Marina
16 Einsiedler, Manfred Leopold
16 Lindenstrauss, Elon
16 Pollicott, Mark
14 Melbourne, Ian
12 Benoist, Yves
12 Ledrappier, François
10 Gorodnik, Alexander
10 Lemańczyk, Mariusz
10 Strömbergsson, Andreas
9 Quint, Jean-François
9 Sarig, Omri M.
9 Sharp, Richard W.
9 Weiss, Barak
8 Eskin, Alex
8 Margulis, Grigoriĭ Aleksandrovich
8 Mozes, Shahar
8 Ravotti, Davide
8 Ryzhikov, Valeriĭ Valentinovich
7 Fisher, David Michael
7 Forni, Giovanni
7 Iommi, Godofredo
7 Katok, Anatole
7 Marklof, Jens
7 McMullen, Curtis Tracy
7 Shapira, Uri
7 Venkatesh, Akshay
6 Barreira, Luis Manuel
6 Bowen, Rufus
6 Dong, Changguang
6 Glasner, Eli
6 Lima, Yuri
6 Rodriguez-Hertz, Federico
6 Wei, Daren
6 Witte Morris, Dave
6 Yang, Lei
5 Dolgopyat, Dmitry
5 Flaminio, Livio
5 Lalley, Steven P.
5 Matheus, Carlos
5 Sarnak, Peter Clive
5 Shi, Ronggang
5 Ullmo, Emmanuel
5 Weiss, Benjamin
5 Zheng, Cheng
4 Aka, Menny
4 Bader, Uri
4 Carrasco, Pablo D.
4 Furman, Alex
4 Kleinbock, Dmitry Ya.
4 Kułaga-Przymus, Joanna
4 Michel, Philippe Gabriel
4 Pène, Françoise
4 Rühr, Rene
4 Ulcigrai, Corinna
4 Wang, Zhiren
4 Yang, Pengyu
4 Zhang, Runlin
3 Araújo, Vítor
3 Avila, Artur
3 Bénard, Timothée
3 Brown, Aaron W.
3 Call, Benjamin
3 Cardella, Matteo A.
3 Chaika, Jonathan
3 Danylenko, Oleksandr Ivanovych
3 De Saxcé, Nicolas
3 del Junco, Andres
3 Fayad, Bassam R.
3 Frączek, Krzysztof Marek
3 Gerber, Marlies
3 Katz, Asaf
3 Khalil, Osama
3 Kunde, Philipp
3 Lazar, Youssef
3 Lee, Minju
3 Miller, Nicholas
3 Mirzakhani, Maryam
3 Park, Kyewon Koh
3 Sambarino, Andrés
3 Spatzier, Ralf J.
3 Starkov, A. N.
3 Stover, Matthew
3 Stoyanov, Luchezar N.
3 Thomas, Simon R.
3 Thompson, Daniel J.
3 Tomanov, Georges Metodiev
3 Tsujii, Masato
3 Varandas, Paulo
3 Velozo, Anibal
3 Verjovsky, Alberto
3 Vinhage, Kurt
3 Vinogradov, Ilya
3 Wortman, Kevin A.
3 Yukie, Akihiko
2 Alcalde Cuesta, Fernando
...and 367 more Authors
all top 5

Cited in 116 Serials

61 Ergodic Theory and Dynamical Systems
48 Israel Journal of Mathematics
38 Duke Mathematical Journal
32 Inventiones Mathematicae
24 Transactions of the American Mathematical Society
23 Journal of Modern Dynamics
22 Communications in Mathematical Physics
17 Annals of Mathematics. Second Series
16 Journal d’Analyse Mathématique
15 Proceedings of the American Mathematical Society
14 Journal of the American Mathematical Society
13 Geometric and Functional Analysis. GAFA
11 Advances in Mathematics
10 Mathematische Annalen
10 Discrete and Continuous Dynamical Systems
9 Compositio Mathematica
9 Mathematische Zeitschrift
9 Bulletin of the American Mathematical Society. New Series
9 Journal of the European Mathematical Society (JEMS)
7 Journal of Statistical Physics
7 Nonlinearity
7 Geometriae Dedicata
6 Journal of the London Mathematical Society. Second Series
6 Dynamical Systems
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Publications Mathématiques
5 Journal of Number Theory
5 Journal für die Reine und Angewandte Mathematik
5 Monatshefte für Mathematik
5 Geometry & Topology
5 Annales Henri Poincaré
5 Journal de l’École Polytechnique – Mathématiques
4 Annales de l’Institut Fourier
4 Bulletin de la Société Mathématique de France
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Probability Theory and Related Fields
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mathematical Notes
3 Acta Mathematica
3 The Annals of Probability
3 Functional Analysis and its Applications
3 Manuscripta Mathematica
3 Memoirs of the American Mathematical Society
3 Journal of High Energy Physics
3 Groups, Geometry, and Dynamics
2 Proceedings of the London Mathematical Society. Third Series
2 Tôhoku Mathematical Journal. Second Series
2 Transactions of the Moscow Mathematical Society
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 St. Petersburg Mathematical Journal
2 Electronic Research Announcements of the American Mathematical Society
2 The Ramanujan Journal
2 Acta Mathematica Sinica. English Series
2 Journal of Dynamical and Control Systems
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of the Institute of Mathematics of Jussieu
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Oberwolfach Reports
2 Mathematics Research Reports
1 Discrete Mathematics
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Physica A
1 Chaos, Solitons and Fractals
1 Acta Arithmetica
1 Commentarii Mathematici Helvetici
1 Fundamenta Mathematicae
1 Illinois Journal of Mathematics
1 Journal of Algebra
1 Journal of Functional Analysis
1 Journal of Soviet Mathematics
1 Mathematical Systems Theory
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Real Analysis Exchange
1 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Systems & Control Letters
1 Annals of Pure and Applied Logic
1 Physica D
1 Mathematical and Computer Modelling
1 Forum Mathematicum
1 Sugaku Expositions
1 The Annals of Applied Probability
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Journal of Dynamics and Differential Equations
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Izvestiya: Mathematics
1 Journal of Group Theory
1 Chaos
1 Matematicheskie Trudy
1 Regular and Chaotic Dynamics
...and 16 more Serials
all top 5

Cited in 42 Fields

458 Dynamical systems and ergodic theory (37-XX)
179 Topological groups, Lie groups (22-XX)
121 Number theory (11-XX)
99 Measure and integration (28-XX)
70 Differential geometry (53-XX)
50 Manifolds and cell complexes (57-XX)
50 Probability theory and stochastic processes (60-XX)
41 Group theory and generalizations (20-XX)
32 Several complex variables and analytic spaces (32-XX)
30 Functions of a complex variable (30-XX)
24 Global analysis, analysis on manifolds (58-XX)
22 Algebraic geometry (14-XX)
14 General topology (54-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Quantum theory (81-XX)
7 Mathematical logic and foundations (03-XX)
7 Abstract harmonic analysis (43-XX)
7 Geometry (51-XX)
5 Combinatorics (05-XX)
5 Partial differential equations (35-XX)
4 Ordinary differential equations (34-XX)
4 Operator theory (47-XX)
4 Convex and discrete geometry (52-XX)
4 Computer science (68-XX)
3 Potential theory (31-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Nonassociative rings and algebras (17-XX)
2 Functional analysis (46-XX)
2 Algebraic topology (55-XX)
2 Statistics (62-XX)
2 Fluid mechanics (76-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Numerical analysis (65-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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