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## Polterovich, Leonid Viktorovich

Compute Distance To:
 Author ID: polterovich.leonid Published as: Polterovich, Leonid; Polterovich, L.; Polterovich, L. V. Homepage: http://www.math.tau.ac.il/~polterov/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: EMS Prize (1996)
 Documents Indexed: 94 Publications since 1986, including 6 Books
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#### Co-Authors

 29 single-authored 14 Entov, Michael 10 Eliashberg, Yakov Matveevich 7 Bialy, Misha 4 Knieper, Gerhard 4 Lalonde, François 4 Potyagailo, Leonid 4 Rosen, Daniel 3 McDuff, Dusa 3 Sodin, Mikhail 2 Biran, Paul 2 Byalyĭ, M. L. 2 Charles, Laurent 2 Ioos, Louis 2 Kim, Sang Seon 2 Rudnick, Zeév 2 Shelukhin, Egor 2 Siburg, Karl Friedrich 2 Stojisavljević, Vukašin 2 Zapolsky, Frol 1 Abreu, Miguel 1 Buhovsky, Lev 1 Burago, Dmitri 1 Cieliebak, Kai 1 Frączek, Krzysztof Marek 1 Fraser, Maia 1 Hajduk, Bogusław 1 Ivanov, Sergei Vladimirovich 1 Kaminker, Victoria 1 Kazhdan, David A. 1 Kȩdra, Jarek 1 Khanevsky, Michael 1 Milman, Vitali D. 1 Nazarov, Fedor L. 1 Paternain, Gabriel Pedro 1 Pelayo, Alvaro 1 Polterovich, Iosif 1 Py, Pierre 1 Salamon, Dietmar Arno 1 Samvelyan, Karina 1 Scherbak, Inna 1 Schoen, Richard Melvin 1 Shmoish, Dor 1 Tralle, Aleksy E. 1 Vũ Ngọc, San 1 Zhang, Jun
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#### Serials

 5 IMRN. International Mathematics Research Notices 4 Inventiones Mathematicae 4 Geometric and Functional Analysis. GAFA 4 Oberwolfach Reports 3 Ergodic Theory and Dynamical Systems 2 Nonlinearity 2 Commentarii Mathematici Helvetici 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Selecta Mathematica. New Series 2 Mathematical Research Letters 2 Geometry & Topology 2 Moscow Mathematical Journal 2 Annales Mathématiques du Québec 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Matematicheskie Zametki 1 Russian Mathematical Surveys 1 American Journal of Mathematics 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematics of the USSR. Izvestiya 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Topology 1 Transactions of the American Mathematical Society 1 International Journal of Mathematics 1 St. Petersburg Mathematical Journal 1 Journal of Lie Theory 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 European Mathematical Society Newsletter 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 The Journal of Symplectic Geometry 1 Foundations of Physics 1 Pure and Applied Mathematics Quarterly 1 CRM Monograph Series 1 CRM Proceedings & Lecture Notes 1 University Lecture Series 1 Journal of Modern Dynamics 1 Journal of Applied and Computational Topology 1 Annales Henri Lebesgue
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#### Fields

 63 Differential geometry (53-XX) 50 Dynamical systems and ergodic theory (37-XX) 19 Manifolds and cell complexes (57-XX) 15 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 7 General and overarching topics; collections (00-XX) 6 Topological groups, Lie groups (22-XX) 6 Mechanics of particles and systems (70-XX) 5 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-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 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

75 Publications have been cited 1,031 times in 579 Documents Cited by Year
Calabi quasimorphism and quantum homology. Zbl 1047.53055
Entov, Michael; Polterovich, Leonid
2003
Geometry of contact transformations and domains: orderability versus squeezing. Zbl 1134.53044
Eliashberg, Yakov; Kim, Sang Seon; Polterovich, Leonid
2006
Symplectic packings and algebraic geometry. Zbl 0833.53028
McDuff, Dusa; Polterovich, Leonid
1994
The geometry of the group of symplectic diffeomorphism. Zbl 1197.53003
Polterovich, Leonid
2001
Rigid subsets of symplectic manifolds. Zbl 1230.53080
Entov, Michael; Polterovich, Leonid
2009
Quasi-states and symplectic intersections. Zbl 1096.53052
Entov, Michael; Polterovich, Leonid
2006
Growth of maps, distortion in groups and symplectic geometry. Zbl 1036.53064
Polterovich, Leonid
2002
Propagation in Hamiltonian dynamics and relative symplectic homology. Zbl 1034.53089
Biran, Paul; Polterovich, Leonid; Salamon, Dietmar
2003
Calabi quasimorphisms for the symplectic ball. Zbl 1076.53110
Biran, Paul; Entov, Michael; Polterovich, Leonid
2004
The surgery of Lagrange submanifolds. Zbl 0754.57027
Polterovich, L.
1991
Partially ordered groups and geometry of contact transformations. Zbl 0986.53036
Eliashberg, Y.; Polterovich, L.
2000
Conjugation-invariant norms on groups of geometric origin. Zbl 1222.20031
Burago, Dmitri; Ivanov, Sergei; Polterovich, Leonid
2008
Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms. Zbl 0819.58006
Bialy, Misha; Polterovich, Leonid
1994
Topological rigidity of Hamiltonian loops and quantum homology. Zbl 0907.58004
Lalonde, François; McDuff, Dusa; Polterovich, Leonid
1999
Symplectic displacement energy for Lagrangian submanifolds. Zbl 0781.58007
Polterovich, Leonid
1993
Quasi-morphisms and the Poisson bracket. Zbl 1143.53070
Entov, Michael; Polterovich, Leonid; Zapolsky, Frol
2007
Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules. Zbl 1337.53094
Polterovich, Leonid; Shelukhin, Egor
2016
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058
Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich
2003
The Maslov class of the Lagrange surfaces and Gromov’s pseudo-holomorphic curves. Zbl 0719.53016
Polterovich, L. V.
1991
Unknottedness of Lagrangian surfaces in symplectic 4-manifolds. Zbl 0808.57021
Eliashberg, Yakov; Polterovich, Leonid
1993
Local Lagrangian 2-knots are trivial. Zbl 0872.57030
Eliashberg, Y.; Polterovich, L.
1996
Function theory on symplectic manifolds. Zbl 1310.53002
Polterovich, Leonid; Rosen, Daniel
2014
On the flux conjectures. Zbl 0974.53062
Lalonde, François; McDuff, Dusa; Polterovich, Leonid
1998
Symplectic quasi-states and semi-simplicity of quantum homology. Zbl 1146.53066
Entov, Michael; Polterovich, Leonid
2008
Symplectic diffeomorphisms as isometries of Hofer’s norm. Zbl 0874.53028
Lalonde, François; Polterovich, Leonid
1997
Symplectic geometry of quantum noise. Zbl 1291.81198
Polterovich, Leonid
2014
Geodesic flows on the two-dimensional torus and phase transitions “commensurability-noncommensurability”. Zbl 0641.58032
Byalyĭ, M. L.; Polterovich, L. V.
1986
Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0675.58016
Bialy, M. L.; Polterovich, L. V.
1989
Hamiltonian systems, Lagrangian tori and Birkhoff’s theorem. Zbl 0735.58016
Bialy, Misha; Polterovich, Leonid
1992
The problem of Lagrangian knots in four-manifolds. Zbl 0889.57036
Eliashberg, Yakov; Polterovich, Leonid
1997
An obstacle to non-Lagrangian intersections. Zbl 0847.58038
Polterovich, L.
1995
Quantum unsharpness and symplectic rigidity. Zbl 1261.81078
Polterovich, Leonid
2012
Sign and area in nodal geometry of Laplace eigenfunctions. Zbl 1079.58026
Nazarov, Fëdor; Polterovich, Leonid; Sodin, Mikhail
2005
Hamiltonian diffeomorphisms and Lagrangian distributions. Zbl 0761.58010
Bialy, M.; Polterovich, L.
1992
Hofer’s diameter and Lagrangian intersections. Zbl 0939.37030
Polterovich, Leonid
1998
Biinvariant metrics on the group of Hamiltonian diffeomorphisms. Zbl 0795.58016
Eliashberg, Yakov; Polterovich, Leonid
1993
Stable mixing for cat maps and quasi-morphisms of the modular group. Zbl 1071.37019
Polterovich, Leonid; Rudnick, Zeev
2004
Poisson brackets and symplectic invariants. Zbl 1242.53099
Buhovsky, Lev; Entov, Michael; Polterovich, Leonid
2012
Geometry on the group of Hamiltonian diffeomorphisms. Zbl 0909.58004
Polterovich, Leonid
1998
$$C^0$$-rigidity of Poisson brackets. Zbl 1197.53115
Entov, Michael; Polterovich, Leonid
2010
On continuity of quasimorphisms for symplectic maps. Zbl 1251.53047
Entov, Michael; Polterovich, Leonid; Py, Pierre; Khanevsky, Michael
2012
A growth gap for diffeomorphisms of the interval. Zbl 1056.37027
Polterovich, Leonid; Sodin, Mikhail
2004
Monotone Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles. Zbl 0703.58018
Polterovich, Leonid
1991
Symplectic aspects of the first eigenvalue. Zbl 0902.58012
Polterovich, Leonid
1998
Hopf-type rigidity for Newton equations. Zbl 0861.58012
Bialy, Misha; Polterovich, Leonid
1995
Semiclassical quantization and spectral limits of $$\hbar$$-pseudodifferential and Berezin-Toeplitz operators. Zbl 1321.53108
Pelayo, Álvaro; Polterovich, Leonid; Ngọc, San Vũ
2014
New applications of Luttinger’s surgery. Zbl 0853.57012
Eliashberg, Yakov; Polterovich, Leonid
1994
Persistence modules with operators in Morse and Floer theory. Zbl 1422.53074
Polterovich, Leonid; Shelukhin, Egor; Stojisavljević, Vukašin
2017
On Sandon-type metrics for contactomorphism groups. Zbl 1402.53062
Fraser, Maia; Polterovich, Leonid; Rosen, Daniel
2018
Kick stability in groups and dynamical systems. Zbl 1067.37003
Polterovich, Leonid; Rudnick, Zeev
2001
Lagrangian tetragons and instabilities in Hamiltonian dynamics. Zbl 1375.37147
Entov, Michael; Polterovich, Leonid
2017
Hamiltonian loops and Arnold’s principle. Zbl 0885.58027
Polterovich, Leonid
1997
Invariant tori and symplectic topology. Zbl 0847.58022
Bialy, M.; Polterovich, L.
1996
Gromov’s K-area and symplectic rigidity. Zbl 0873.58037
Polterovich, L.
1996
Floer homology, dynamics and groups. Zbl 1089.53066
Polterovich, Leonid
2006
The second Birkhoff theorem for optical Hamiltonian systems. Zbl 0737.58023
Polterovich, Leonid
1991
Sharp correspondence principle and quantum measurements. Zbl 1383.53065
Charles, L.; Polterovich, L.
2018
Quantum speed limit versus classical displacement energy. Zbl 1388.81238
Charles, Laurent; Polterovich, Leonid
2018
Slow symplectic maps, continued fractions, and related stories. Zbl 1070.37035
Polterovich, Leonid
2003
$$C^{0}$$-rigidity of the double Poisson bracket. Zbl 1163.53049
Entov, Michael; Polterovich, Leonid
2009
On transport in dynamical systems. Zbl 0729.28014
Polterovich, L. V.
1988
Lie quasi-states. Zbl 1182.53075
Entov, Michael; Polterovich, Leonid
2009
An “Anti-gleason” phenomenon and simultaneous measurements in classical mechanics. Zbl 1129.81007
Entov, Michael; Polterovich, Leonid; Zapolsky, Frol
2007
On the asymptotic geometry of area-preserving maps. Zbl 0976.37030
Polterovich, Leonid; Siburg, Karl Friedrich
2000
Optical Hamiltonian functions. Zbl 0879.58024
Bialy, Misha; Polterovich, Leonid
1994
The Maslov class rigidity and non-existence of Lagrangian embeddings. Zbl 0815.53043
Polterovich, Leonid
1993
Nodal inequalities on surfaces. Zbl 1127.58029
Polterovich, Leonid; Sodin, Mikhail
2007
Topological persistence in geometry and analysis. Zbl 1464.55003
Polterovich, Leonid; Rosen, Daniel; Samvelyan, Karina; Zhang, Jun
2020
Symplectic intersections and invariant measures. Zbl 1297.53060
Polterovich, Leonid
2014
Precise measurements in symplectic topology. Zbl 0912.53022
Polterovich, Leonid
1998
Growth and mixing. Zbl 1148.37002
Frączek, Krzysztof; Polterovich, Leonid
2008
Poisson brackets, quasi-states and symplectic integrators. Zbl 1200.53068
Entov, Michael; Polterovich, Leonid; Rosen, Daniel
2010
Persistence barcodes and Laplace eigenfunctions on surfaces. Zbl 1420.58012
Polterovich, Iosif; Polterovich, Leonid; Stojisavljević, Vukašin
2019
Inferring topology of quantum phase space. Zbl 1420.81018
Polterovich, Leonid
2018
Quantum footprints of symplectic rigidity. Zbl 1368.81034
Polterovich, Leonid
2016
Topological persistence in geometry and analysis. Zbl 1464.55003
Polterovich, Leonid; Rosen, Daniel; Samvelyan, Karina; Zhang, Jun
2020
Persistence barcodes and Laplace eigenfunctions on surfaces. Zbl 1420.58012
Polterovich, Iosif; Polterovich, Leonid; Stojisavljević, Vukašin
2019
On Sandon-type metrics for contactomorphism groups. Zbl 1402.53062
Fraser, Maia; Polterovich, Leonid; Rosen, Daniel
2018
Sharp correspondence principle and quantum measurements. Zbl 1383.53065
Charles, L.; Polterovich, L.
2018
Quantum speed limit versus classical displacement energy. Zbl 1388.81238
Charles, Laurent; Polterovich, Leonid
2018
Inferring topology of quantum phase space. Zbl 1420.81018
Polterovich, Leonid
2018
Persistence modules with operators in Morse and Floer theory. Zbl 1422.53074
Polterovich, Leonid; Shelukhin, Egor; Stojisavljević, Vukašin
2017
Lagrangian tetragons and instabilities in Hamiltonian dynamics. Zbl 1375.37147
Entov, Michael; Polterovich, Leonid
2017
Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules. Zbl 1337.53094
Polterovich, Leonid; Shelukhin, Egor
2016
Quantum footprints of symplectic rigidity. Zbl 1368.81034
Polterovich, Leonid
2016
Function theory on symplectic manifolds. Zbl 1310.53002
Polterovich, Leonid; Rosen, Daniel
2014
Symplectic geometry of quantum noise. Zbl 1291.81198
Polterovich, Leonid
2014
Semiclassical quantization and spectral limits of $$\hbar$$-pseudodifferential and Berezin-Toeplitz operators. Zbl 1321.53108
Pelayo, Álvaro; Polterovich, Leonid; Ngọc, San Vũ
2014
Symplectic intersections and invariant measures. Zbl 1297.53060
Polterovich, Leonid
2014
Quantum unsharpness and symplectic rigidity. Zbl 1261.81078
Polterovich, Leonid
2012
Poisson brackets and symplectic invariants. Zbl 1242.53099
Buhovsky, Lev; Entov, Michael; Polterovich, Leonid
2012
On continuity of quasimorphisms for symplectic maps. Zbl 1251.53047
Entov, Michael; Polterovich, Leonid; Py, Pierre; Khanevsky, Michael
2012
$$C^0$$-rigidity of Poisson brackets. Zbl 1197.53115
Entov, Michael; Polterovich, Leonid
2010
Poisson brackets, quasi-states and symplectic integrators. Zbl 1200.53068
Entov, Michael; Polterovich, Leonid; Rosen, Daniel
2010
Rigid subsets of symplectic manifolds. Zbl 1230.53080
Entov, Michael; Polterovich, Leonid
2009
$$C^{0}$$-rigidity of the double Poisson bracket. Zbl 1163.53049
Entov, Michael; Polterovich, Leonid
2009
Lie quasi-states. Zbl 1182.53075
Entov, Michael; Polterovich, Leonid
2009
Conjugation-invariant norms on groups of geometric origin. Zbl 1222.20031
Burago, Dmitri; Ivanov, Sergei; Polterovich, Leonid
2008
Symplectic quasi-states and semi-simplicity of quantum homology. Zbl 1146.53066
Entov, Michael; Polterovich, Leonid
2008
Growth and mixing. Zbl 1148.37002
Frączek, Krzysztof; Polterovich, Leonid
2008
Quasi-morphisms and the Poisson bracket. Zbl 1143.53070
Entov, Michael; Polterovich, Leonid; Zapolsky, Frol
2007
An “Anti-gleason” phenomenon and simultaneous measurements in classical mechanics. Zbl 1129.81007
Entov, Michael; Polterovich, Leonid; Zapolsky, Frol
2007
Nodal inequalities on surfaces. Zbl 1127.58029
Polterovich, Leonid; Sodin, Mikhail
2007
Geometry of contact transformations and domains: orderability versus squeezing. Zbl 1134.53044
Eliashberg, Yakov; Kim, Sang Seon; Polterovich, Leonid
2006
Quasi-states and symplectic intersections. Zbl 1096.53052
Entov, Michael; Polterovich, Leonid
2006
Floer homology, dynamics and groups. Zbl 1089.53066
Polterovich, Leonid
2006
Sign and area in nodal geometry of Laplace eigenfunctions. Zbl 1079.58026
Nazarov, Fëdor; Polterovich, Leonid; Sodin, Mikhail
2005
Calabi quasimorphisms for the symplectic ball. Zbl 1076.53110
Biran, Paul; Entov, Michael; Polterovich, Leonid
2004
Stable mixing for cat maps and quasi-morphisms of the modular group. Zbl 1071.37019
Polterovich, Leonid; Rudnick, Zeev
2004
A growth gap for diffeomorphisms of the interval. Zbl 1056.37027
Polterovich, Leonid; Sodin, Mikhail
2004
Calabi quasimorphism and quantum homology. Zbl 1047.53055
Entov, Michael; Polterovich, Leonid
2003
Propagation in Hamiltonian dynamics and relative symplectic homology. Zbl 1034.53089
Biran, Paul; Polterovich, Leonid; Salamon, Dietmar
2003
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058
Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich
2003
Slow symplectic maps, continued fractions, and related stories. Zbl 1070.37035
Polterovich, Leonid
2003
Growth of maps, distortion in groups and symplectic geometry. Zbl 1036.53064
Polterovich, Leonid
2002
The geometry of the group of symplectic diffeomorphism. Zbl 1197.53003
Polterovich, Leonid
2001
Kick stability in groups and dynamical systems. Zbl 1067.37003
Polterovich, Leonid; Rudnick, Zeev
2001
Partially ordered groups and geometry of contact transformations. Zbl 0986.53036
Eliashberg, Y.; Polterovich, L.
2000
On the asymptotic geometry of area-preserving maps. Zbl 0976.37030
Polterovich, Leonid; Siburg, Karl Friedrich
2000
Topological rigidity of Hamiltonian loops and quantum homology. Zbl 0907.58004
Lalonde, François; McDuff, Dusa; Polterovich, Leonid
1999
On the flux conjectures. Zbl 0974.53062
Lalonde, François; McDuff, Dusa; Polterovich, Leonid
1998
Hofer’s diameter and Lagrangian intersections. Zbl 0939.37030
Polterovich, Leonid
1998
Geometry on the group of Hamiltonian diffeomorphisms. Zbl 0909.58004
Polterovich, Leonid
1998
Symplectic aspects of the first eigenvalue. Zbl 0902.58012
Polterovich, Leonid
1998
Precise measurements in symplectic topology. Zbl 0912.53022
Polterovich, Leonid
1998
Symplectic diffeomorphisms as isometries of Hofer’s norm. Zbl 0874.53028
Lalonde, François; Polterovich, Leonid
1997
The problem of Lagrangian knots in four-manifolds. Zbl 0889.57036
Eliashberg, Yakov; Polterovich, Leonid
1997
Hamiltonian loops and Arnold’s principle. Zbl 0885.58027
Polterovich, Leonid
1997
Local Lagrangian 2-knots are trivial. Zbl 0872.57030
Eliashberg, Y.; Polterovich, L.
1996
Invariant tori and symplectic topology. Zbl 0847.58022
Bialy, M.; Polterovich, L.
1996
Gromov’s K-area and symplectic rigidity. Zbl 0873.58037
Polterovich, L.
1996
An obstacle to non-Lagrangian intersections. Zbl 0847.58038
Polterovich, L.
1995
Hopf-type rigidity for Newton equations. Zbl 0861.58012
Bialy, Misha; Polterovich, Leonid
1995
Symplectic packings and algebraic geometry. Zbl 0833.53028
McDuff, Dusa; Polterovich, Leonid
1994
Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms. Zbl 0819.58006
Bialy, Misha; Polterovich, Leonid
1994
New applications of Luttinger’s surgery. Zbl 0853.57012
Eliashberg, Yakov; Polterovich, Leonid
1994
Optical Hamiltonian functions. Zbl 0879.58024
Bialy, Misha; Polterovich, Leonid
1994
Symplectic displacement energy for Lagrangian submanifolds. Zbl 0781.58007
Polterovich, Leonid
1993
Unknottedness of Lagrangian surfaces in symplectic 4-manifolds. Zbl 0808.57021
Eliashberg, Yakov; Polterovich, Leonid
1993
Biinvariant metrics on the group of Hamiltonian diffeomorphisms. Zbl 0795.58016
Eliashberg, Yakov; Polterovich, Leonid
1993
The Maslov class rigidity and non-existence of Lagrangian embeddings. Zbl 0815.53043
Polterovich, Leonid
1993
Hamiltonian systems, Lagrangian tori and Birkhoff’s theorem. Zbl 0735.58016
Bialy, Misha; Polterovich, Leonid
1992
Hamiltonian diffeomorphisms and Lagrangian distributions. Zbl 0761.58010
Bialy, M.; Polterovich, L.
1992
The surgery of Lagrange submanifolds. Zbl 0754.57027
Polterovich, L.
1991
The Maslov class of the Lagrange surfaces and Gromov’s pseudo-holomorphic curves. Zbl 0719.53016
Polterovich, L. V.
1991
Monotone Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles. Zbl 0703.58018
Polterovich, Leonid
1991
The second Birkhoff theorem for optical Hamiltonian systems. Zbl 0737.58023
Polterovich, Leonid
1991
Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0675.58016
Bialy, M. L.; Polterovich, L. V.
1989
On transport in dynamical systems. Zbl 0729.28014
Polterovich, L. V.
1988
Geodesic flows on the two-dimensional torus and phase transitions “commensurability-noncommensurability”. Zbl 0641.58032
Byalyĭ, M. L.; Polterovich, L. V.
1986
all top 5

#### Cited by 506 Authors

 27 Polterovich, Leonid Viktorovich 18 Ginzburg, Viktor L’vovich 14 McDuff, Dusa 12 Schlenk, Felix 11 Bialy, Misha 11 Brandenbursky, Michael 11 Kȩdra, Jarek 11 Lalonde, François 11 Pelayo, Alvaro 10 Eliashberg, Yakov Matveevich 9 Buhovsky, Lev 9 Gürel, Basak Zehra 9 Zapolsky, Frol 8 de Gosson, Maurice Alexis 8 Frauenfelder, Urs Adrian 7 Albers, Peter 7 Cieliebak, Kai 7 Dimitroglou Rizell, Georgios 7 Entov, Michael 7 Paternain, Gabriel Pedro 7 Rybicki, Tomasz 7 Shelukhin, Egor 7 Smith, Ivan 7 Zehmisch, Kai 6 Biran, Paul 6 Macarini, Leonardo 6 Oh, Yong-Geun 6 Viña, Andrés 6 Vũ Ngọc, San 5 Borman, Matthew Strom 5 Gal, Światosław R. 5 Kawasaki, Morimichi 5 Leclercq, Rémi 5 Milinković, Darko 5 Nemirovskiĭ, Stefan Yur’evich 5 Presas, Francisco 5 Sandon, Sheila 5 Seyfaddini, Sobhan 5 Shtern, Aleksandr Isaakovich 5 Sorrentino, Alfonso 4 Abbondandolo, Alberto 4 Benedetti, Gabriele 4 Casals, Roger 4 Cornea, Octav 4 Franks, John M. 4 Fukaya, Kenji 4 Handel, Michael 4 Logunov, Alexander Andreevich 4 MacKay, Robert Sinclair 4 Merry, Will J. 4 Ono, Kaoru 4 Py, Pierre 4 Seidel, Paul 3 Abouzaid, Mohammed 3 Abreu, Miguel 3 Arnaud, Marie-Claude 3 Bae, Youngjin 3 ben Simon, Gabi 3 Bisgaard, Mads R. 3 Charles, Laurent 3 Ekholm, Tobias 3 El Soufi, Ahmad 3 Evain, Laurent 3 Ferreira de Velloso Vianna, Renato 3 Hartnick, Tobias 3 Katić, Jelena 3 Kerman, Ely 3 Le Floch, Yohann 3 Lu, Guangcun 3 Mangoubi, Dan 3 Murphy, Emmy 3 Navas, Andrés 3 Nikolić, Jovana 3 Ohta, Hiroshi 3 Ostrover, Yaron 3 Pedroza, Andrés 3 Potapov, Igor 3 Siburg, Karl Friedrich 3 Tonkonog, Dmitry 3 Traynor, Lisa 3 Usher, Michael 3 Viterbo, Claude 3 Wendl, Chris 3 Wu, Weiwei 2 Bangert, Victor 2 Banyaga, Augustin 2 Barron, Tatyana 2 Burger, Marc 2 Buşe, Olguţa 2 Butler, Leo T. 2 Cardin, Franco 2 Chekanov, Yu. V. 2 Cho, Cheol-Hyun 2 Çineli, Erman 2 Colbois, Bruno 2 Dias Carneiro, Mario Jorge 2 Fathi, Albert 2 Fuchs, Urs 2 Georgiev, Bogdan 2 Glasmachers, Eva ...and 406 more Authors
all top 5

#### Cited in 148 Serials

 32 Geometry & Topology 30 Journal of Topology and Analysis 22 Mathematische Zeitschrift 22 Geometric and Functional Analysis. GAFA 21 Duke Mathematical Journal 18 Algebraic & Geometric Topology 17 Israel Journal of Mathematics 15 International Journal of Mathematics 13 Inventiones Mathematicae 12 Mathematische Annalen 12 Selecta Mathematica. New Series 11 Proceedings of the American Mathematical Society 11 Differential Geometry and its Applications 11 Communications in Contemporary Mathematics 10 Advances in Mathematics 10 Compositio Mathematica 10 Journal of Modern Dynamics 9 Communications in Mathematical Physics 8 Annales de l’Institut Fourier 8 Geometriae Dedicata 8 Transactions of the American Mathematical Society 8 Calculus of Variations and Partial Differential Equations 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Geometry and Physics 6 Commentarii Mathematici Helvetici 6 Ergodic Theory and Dynamical Systems 6 Journal of the American Mathematical Society 6 Bulletin of the American Mathematical Society. New Series 6 Journal of the European Mathematical Society (JEMS) 6 Annales Mathématiques du Québec 5 Journal of Mathematical Analysis and Applications 5 Letters in Mathematical Physics 5 Annals of Global Analysis and Geometry 5 Annals of Mathematics. Second Series 5 Journal of Fixed Point Theory and Applications 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Nonlinearity 4 Manuscripta Mathematica 4 Pacific Journal of Mathematics 4 Foundations of Physics 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Physics 3 Topology and its Applications 3 Indagationes Mathematicae. New Series 3 St. Petersburg Mathematical Journal 3 Annales Henri Poincaré 3 Journal of Topology 3 Arnold Mathematical Journal 2 Mathematical Notes 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Glasgow Mathematical Journal 2 Journal of Differential Equations 2 Journal of Pure and Applied Algebra 2 Proceedings of the London Mathematical Society. Third Series 2 Physica D 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 L’Enseignement Mathématique. 2e Série 2 Linear Algebra and its Applications 2 Proceedings of the National Academy of Sciences of the United States of America 2 Expositiones Mathematicae 2 Journal of Knot Theory and its Ramifications 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Mathematical Physics, Analysis and Geometry 2 Regular and Chaotic Dynamics 2 Acta Mathematica Sinica. English Series 2 Advances in Geometry 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Groups, Geometry, and Dynamics 2 Electronic Research Announcements in Mathematical Sciences 2 Analysis & PDE 2 Japanese Journal of Mathematics. 3rd Series 2 Journal of Pseudo-Differential Operators and Applications 2 Proceedings of the American Mathematical Society. Series B 2 Journal of Applied and Computational Topology 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematische Semesterberichte 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Publications Mathématiques 1 Journal of Algebra 1 Journal of Computer and System Sciences ...and 48 more Serials
all top 5

#### Cited in 45 Fields

 401 Differential geometry (53-XX) 184 Dynamical systems and ergodic theory (37-XX) 179 Manifolds and cell complexes (57-XX) 75 Global analysis, analysis on manifolds (58-XX) 40 Algebraic geometry (14-XX) 35 Quantum theory (81-XX) 32 Group theory and generalizations (20-XX) 29 Mechanics of particles and systems (70-XX) 28 Topological groups, Lie groups (22-XX) 26 Partial differential equations (35-XX) 25 Algebraic topology (55-XX) 24 Several complex variables and analytic spaces (32-XX) 10 Operator theory (47-XX) 9 Convex and discrete geometry (52-XX) 8 Functional analysis (46-XX) 7 Measure and integration (28-XX) 7 General topology (54-XX) 6 Combinatorics (05-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Category theory; homological algebra (18-XX) 5 Functions of a complex variable (30-XX) 5 Geometry (51-XX) 5 Computer science (68-XX) 4 Potential theory (31-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Relativity and gravitational theory (83-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

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