Edit Profile (opens in new tab) Polterovich, Leonid Viktorovich Compute Distance To: Compute Author ID: polterovich.leonid Published as: Polterovich, Leonid; Polterovich, L.; Polterovich, L. V. Further Spellings: Полтерович Леонид Викторович Homepage: http://www.math.tau.ac.il/~polterov/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Awards: EMS Prize (1996) Documents Indexed: 88 Publications since 1986, including 3 Books 7 Contributions as Editor Co-Authors: 45 Co-Authors with 66 Joint Publications 770 Co-Co-Authors all top 5 Co-Authors 29 single-authored 15 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 all top 5 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 Fixed Point Theory and Applications 1 Journal of Modern Dynamics 1 Journal of Applied and Computational Topology 1 Annales Henri Lebesgue all top 5 Fields 64 Differential geometry (53-XX) 51 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) 4 Algebraic topology (55-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-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 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 1,115 times in 612 Documents Cited by ▼ Year ▼ Calabi quasimorphism and quantum homology. Zbl 1047.53055Entov, Michael; Polterovich, Leonid 55 2003 Geometry of contact transformations and domains: orderability versus squeezing. Zbl 1134.53044Eliashberg, Yakov; Kim, Sang Seon; Polterovich, Leonid 52 2006 Symplectic packings and algebraic geometry. Zbl 0833.53028McDuff, Dusa; Polterovich, Leonid 49 1994 The geometry of the group of symplectic diffeomorphism. Zbl 1197.53003Polterovich, Leonid 48 2001 Rigid subsets of symplectic manifolds. Zbl 1230.53080Entov, Michael; Polterovich, Leonid 41 2009 Quasi-states and symplectic intersections. Zbl 1096.53052Entov, Michael; Polterovich, Leonid 40 2006 Growth of maps, distortion in groups and symplectic geometry. Zbl 1036.53064Polterovich, Leonid 34 2002 Propagation in Hamiltonian dynamics and relative symplectic homology. Zbl 1034.53089Biran, Paul; Polterovich, Leonid; Salamon, Dietmar 34 2003 The surgery of Lagrange submanifolds. Zbl 0754.57027Polterovich, L. 33 1991 Conjugation-invariant norms on groups of geometric origin. Zbl 1222.20031Burago, Dmitri; Ivanov, Sergei; Polterovich, Leonid 33 2008 Partially ordered groups and geometry of contact transformations. Zbl 0986.53036Eliashberg, Y.; Polterovich, L. 33 2000 Calabi quasimorphisms for the symplectic ball. Zbl 1076.53110Biran, Paul; Entov, Michael; Polterovich, Leonid 33 2004 Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms. Zbl 0819.58006Bialy, Misha; Polterovich, Leonid 28 1994 Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules. Zbl 1337.53094Polterovich, Leonid; Shelukhin, Egor 25 2016 Quasi-morphisms and the Poisson bracket. Zbl 1143.53070Entov, Michael; Polterovich, Leonid; Zapolsky, Frol 24 2007 Symplectic displacement energy for Lagrangian submanifolds. Zbl 0781.58007Polterovich, Leonid 23 1993 Topological rigidity of Hamiltonian loops and quantum homology. Zbl 0907.58004Lalonde, François; McDuff, Dusa; Polterovich, Leonid 23 1999 Function theory on symplectic manifolds. Zbl 1310.53002Polterovich, Leonid; Rosen, Daniel 22 2014 Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich 21 2003 The Maslov class of the Lagrange surfaces and Gromov’s pseudo-holomorphic curves. Zbl 0719.53016Polterovich, L. V. 18 1991 Local Lagrangian 2-knots are trivial. Zbl 0872.57030Eliashberg, Y.; Polterovich, L. 18 1996 Symplectic quasi-states and semi-simplicity of quantum homology. Zbl 1146.53066Entov, Michael; Polterovich, Leonid 17 2008 Unknottedness of Lagrangian surfaces in symplectic 4-manifolds. Zbl 0808.57021Eliashberg, Yakov; Polterovich, Leonid 17 1993 Symplectic geometry of quantum noise. Zbl 1291.81198Polterovich, Leonid 16 2014 On the flux conjectures. Zbl 0974.53062Lalonde, François; McDuff, Dusa; Polterovich, Leonid 16 1998 Poisson brackets and symplectic invariants. Zbl 1242.53099Buhovsky, Lev; Entov, Michael; Polterovich, Leonid 15 2012 Symplectic diffeomorphisms as isometries of Hofer’s norm. Zbl 0874.53028Lalonde, François; Polterovich, Leonid 14 1997 Quantum unsharpness and symplectic rigidity. Zbl 1261.81078Polterovich, Leonid 14 2012 Geodesic flows on the two-dimensional torus and phase transitions “commensurability-noncommensurability”. Zbl 0641.58032Byalyĭ, M. L.; Polterovich, L. V. 13 1986 Hamiltonian systems, Lagrangian tori and Birkhoff’s theorem. Zbl 0735.58016Bialy, Misha; Polterovich, Leonid 13 1992 Hamiltonian diffeomorphisms and Lagrangian distributions. Zbl 0761.58010Bialy, M.; Polterovich, L. 13 1992 Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0675.58016Bialy, M. L.; Polterovich, L. V. 13 1989 Sign and area in nodal geometry of Laplace eigenfunctions. Zbl 1079.58026Nazarov, Fëdor; Polterovich, Leonid; Sodin, Mikhail 13 2005 \(C^0\)-rigidity of Poisson brackets. Zbl 1197.53115Entov, Michael; Polterovich, Leonid 12 2010 On continuity of quasimorphisms for symplectic maps. Zbl 1251.53047Entov, Michael; Polterovich, Leonid; Py, Pierre; Khanevsky, Michael 12 2012 An obstacle to non-Lagrangian intersections. Zbl 0847.58038Polterovich, L. 12 1995 The problem of Lagrangian knots in four-manifolds. Zbl 0889.57036Eliashberg, Yakov; Polterovich, Leonid 12 1997 Biinvariant metrics on the group of Hamiltonian diffeomorphisms. Zbl 0795.58016Eliashberg, Yakov; Polterovich, Leonid 12 1993 Hofer’s diameter and Lagrangian intersections. Zbl 0939.37030Polterovich, Leonid 11 1998 Stable mixing for cat maps and quasi-morphisms of the modular group. Zbl 1071.37019Polterovich, Leonid; Rudnick, Zeev 11 2004 Persistence modules with operators in Morse and Floer theory. Zbl 1422.53074Polterovich, Leonid; Shelukhin, Egor; Stojisavljević, Vukašin 10 2017 Geometry on the group of Hamiltonian diffeomorphisms. Zbl 0909.58004Polterovich, Leonid 10 1998 A growth gap for diffeomorphisms of the interval. Zbl 1056.37027Polterovich, Leonid; Sodin, Mikhail 10 2004 Monotone Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles. Zbl 0703.58018Polterovich, Leonid 9 1991 On Sandon-type metrics for contactomorphism groups. Zbl 1402.53062Fraser, Maia; Polterovich, Leonid; Rosen, Daniel 9 2018 Hopf-type rigidity for Newton equations. Zbl 0861.58012Bialy, Misha; Polterovich, Leonid 8 1995 Semiclassical quantization and spectral limits of \(\hbar\)-pseudodifferential and Berezin-Toeplitz operators. Zbl 1321.53108Pelayo, Álvaro; Polterovich, Leonid; Ngọc, San Vũ 8 2014 Symplectic aspects of the first eigenvalue. Zbl 0902.58012Polterovich, Leonid 8 1998 Lagrangian tetragons and instabilities in Hamiltonian dynamics. Zbl 1375.37147Entov, Michael; Polterovich, Leonid 7 2017 New applications of Luttinger’s surgery. Zbl 0853.57012Eliashberg, Yakov; Polterovich, Leonid 7 1994 Floer homology, dynamics and groups. Zbl 1089.53066Polterovich, Leonid 6 2006 Kick stability in groups and dynamical systems. Zbl 1067.37003Polterovich, Leonid; Rudnick, Zeev 6 2001 The second Birkhoff theorem for optical Hamiltonian systems. Zbl 0737.58023Polterovich, Leonid 5 1991 Gromov’s K-area and symplectic rigidity. Zbl 0873.58037Polterovich, L. 5 1996 Invariant tori and symplectic topology. Zbl 0847.58022Bialy, M.; Polterovich, L. 5 1996 An “Anti-gleason” phenomenon and simultaneous measurements in classical mechanics. Zbl 1129.81007Entov, Michael; Polterovich, Leonid; Zapolsky, Frol 5 2007 Lie quasi-states. Zbl 1182.53075Entov, Michael; Polterovich, Leonid 5 2009 Sharp correspondence principle and quantum measurements. Zbl 1383.53065Charles, L.; Polterovich, L. 5 2018 Hamiltonian loops and Arnold’s principle. Zbl 0885.58027Polterovich, Leonid 5 1997 Quantum speed limit versus classical displacement energy. Zbl 1388.81238Charles, Laurent; Polterovich, Leonid 4 2018 Topological persistence in geometry and analysis. Zbl 1464.55003Polterovich, Leonid; Rosen, Daniel; Samvelyan, Karina; Zhang, Jun 4 2020 On transport in dynamical systems. Zbl 0729.28014Polterovich, L. V. 3 1988 Slow symplectic maps, continued fractions, and related stories. Zbl 1070.37035Polterovich, Leonid 3 2003 Poisson brackets, quasi-states and symplectic integrators. Zbl 1200.53068Entov, Michael; Polterovich, Leonid; Rosen, Daniel 3 2010 \(C^{0}\)-rigidity of the double Poisson bracket. Zbl 1163.53049Entov, Michael; Polterovich, Leonid 3 2009 Nodal inequalities on surfaces. Zbl 1127.58029Polterovich, Leonid; Sodin, Mikhail 2 2007 Contact orderability up to conjugation. Zbl 1390.53096Cieliebak, Kai; Eliashberg, Yakov; Polterovich, Leonid 2 2017 Symplectic intersections and invariant measures. Zbl 1297.53060Polterovich, Leonid 2 2014 On the asymptotic geometry of area-preserving maps. Zbl 0976.37030Polterovich, Leonid; Siburg, Karl Friedrich 2 2000 Optical Hamiltonian functions. Zbl 0879.58024Bialy, Misha; Polterovich, Leonid 2 1994 The Maslov class rigidity and non-existence of Lagrangian embeddings. Zbl 0815.53043Polterovich, Leonid 2 1993 Dissipation in contact dynamics. Zbl 1020.37041Polterovich, Leonid 1 2002 Persistence barcodes and Laplace eigenfunctions on surfaces. Zbl 1420.58012Polterovich, Iosif; Polterovich, Leonid; Stojisavljević, Vukašin 1 2019 Inferring topology of quantum phase space. Zbl 1420.81018Polterovich, Leonid 1 2018 Growth and mixing. Zbl 1148.37002Frączek, Krzysztof; Polterovich, Leonid 1 2008 Quantum footprints of symplectic rigidity. Zbl 1368.81034Polterovich, Leonid 1 2016 Precise measurements in symplectic topology. Zbl 0912.53022Polterovich, Leonid 1 1998 Spectral aspects of the Berezin transform. (Aspects spectraux de la transformée de Berezin.) Zbl 1458.53091Ioos, Louis; Kaminker, Victoria; Polterovich, Leonid; Shmoish, Dor 1 2020 Topological persistence in geometry and analysis. Zbl 1464.55003Polterovich, Leonid; Rosen, Daniel; Samvelyan, Karina; Zhang, Jun 4 2020 Spectral aspects of the Berezin transform. (Aspects spectraux de la transformée de Berezin.) Zbl 1458.53091Ioos, Louis; Kaminker, Victoria; Polterovich, Leonid; Shmoish, Dor 1 2020 Persistence barcodes and Laplace eigenfunctions on surfaces. Zbl 1420.58012Polterovich, Iosif; Polterovich, Leonid; Stojisavljević, Vukašin 1 2019 On Sandon-type metrics for contactomorphism groups. Zbl 1402.53062Fraser, Maia; Polterovich, Leonid; Rosen, Daniel 9 2018 Sharp correspondence principle and quantum measurements. Zbl 1383.53065Charles, L.; Polterovich, L. 5 2018 Quantum speed limit versus classical displacement energy. Zbl 1388.81238Charles, Laurent; Polterovich, Leonid 4 2018 Inferring topology of quantum phase space. Zbl 1420.81018Polterovich, Leonid 1 2018 Persistence modules with operators in Morse and Floer theory. Zbl 1422.53074Polterovich, Leonid; Shelukhin, Egor; Stojisavljević, Vukašin 10 2017 Lagrangian tetragons and instabilities in Hamiltonian dynamics. Zbl 1375.37147Entov, Michael; Polterovich, Leonid 7 2017 Contact orderability up to conjugation. Zbl 1390.53096Cieliebak, Kai; Eliashberg, Yakov; Polterovich, Leonid 2 2017 Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules. Zbl 1337.53094Polterovich, Leonid; Shelukhin, Egor 25 2016 Quantum footprints of symplectic rigidity. Zbl 1368.81034Polterovich, Leonid 1 2016 Function theory on symplectic manifolds. Zbl 1310.53002Polterovich, Leonid; Rosen, Daniel 22 2014 Symplectic geometry of quantum noise. Zbl 1291.81198Polterovich, Leonid 16 2014 Semiclassical quantization and spectral limits of \(\hbar\)-pseudodifferential and Berezin-Toeplitz operators. Zbl 1321.53108Pelayo, Álvaro; Polterovich, Leonid; Ngọc, San Vũ 8 2014 Symplectic intersections and invariant measures. Zbl 1297.53060Polterovich, Leonid 2 2014 Poisson brackets and symplectic invariants. Zbl 1242.53099Buhovsky, Lev; Entov, Michael; Polterovich, Leonid 15 2012 Quantum unsharpness and symplectic rigidity. Zbl 1261.81078Polterovich, Leonid 14 2012 On continuity of quasimorphisms for symplectic maps. Zbl 1251.53047Entov, Michael; Polterovich, Leonid; Py, Pierre; Khanevsky, Michael 12 2012 \(C^0\)-rigidity of Poisson brackets. Zbl 1197.53115Entov, Michael; Polterovich, Leonid 12 2010 Poisson brackets, quasi-states and symplectic integrators. Zbl 1200.53068Entov, Michael; Polterovich, Leonid; Rosen, Daniel 3 2010 Rigid subsets of symplectic manifolds. Zbl 1230.53080Entov, Michael; Polterovich, Leonid 41 2009 Lie quasi-states. Zbl 1182.53075Entov, Michael; Polterovich, Leonid 5 2009 \(C^{0}\)-rigidity of the double Poisson bracket. Zbl 1163.53049Entov, Michael; Polterovich, Leonid 3 2009 Conjugation-invariant norms on groups of geometric origin. Zbl 1222.20031Burago, Dmitri; Ivanov, Sergei; Polterovich, Leonid 33 2008 Symplectic quasi-states and semi-simplicity of quantum homology. Zbl 1146.53066Entov, Michael; Polterovich, Leonid 17 2008 Growth and mixing. Zbl 1148.37002Frączek, Krzysztof; Polterovich, Leonid 1 2008 Quasi-morphisms and the Poisson bracket. Zbl 1143.53070Entov, Michael; Polterovich, Leonid; Zapolsky, Frol 24 2007 An “Anti-gleason” phenomenon and simultaneous measurements in classical mechanics. Zbl 1129.81007Entov, Michael; Polterovich, Leonid; Zapolsky, Frol 5 2007 Nodal inequalities on surfaces. Zbl 1127.58029Polterovich, Leonid; Sodin, Mikhail 2 2007 Geometry of contact transformations and domains: orderability versus squeezing. Zbl 1134.53044Eliashberg, Yakov; Kim, Sang Seon; Polterovich, Leonid 52 2006 Quasi-states and symplectic intersections. Zbl 1096.53052Entov, Michael; Polterovich, Leonid 40 2006 Floer homology, dynamics and groups. Zbl 1089.53066Polterovich, Leonid 6 2006 Sign and area in nodal geometry of Laplace eigenfunctions. Zbl 1079.58026Nazarov, Fëdor; Polterovich, Leonid; Sodin, Mikhail 13 2005 Calabi quasimorphisms for the symplectic ball. Zbl 1076.53110Biran, Paul; Entov, Michael; Polterovich, Leonid 33 2004 Stable mixing for cat maps and quasi-morphisms of the modular group. Zbl 1071.37019Polterovich, Leonid; Rudnick, Zeev 11 2004 A growth gap for diffeomorphisms of the interval. Zbl 1056.37027Polterovich, Leonid; Sodin, Mikhail 10 2004 Calabi quasimorphism and quantum homology. Zbl 1047.53055Entov, Michael; Polterovich, Leonid 55 2003 Propagation in Hamiltonian dynamics and relative symplectic homology. Zbl 1034.53089Biran, Paul; Polterovich, Leonid; Salamon, Dietmar 34 2003 Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich 21 2003 Slow symplectic maps, continued fractions, and related stories. Zbl 1070.37035Polterovich, Leonid 3 2003 Growth of maps, distortion in groups and symplectic geometry. Zbl 1036.53064Polterovich, Leonid 34 2002 Dissipation in contact dynamics. Zbl 1020.37041Polterovich, Leonid 1 2002 The geometry of the group of symplectic diffeomorphism. Zbl 1197.53003Polterovich, Leonid 48 2001 Kick stability in groups and dynamical systems. Zbl 1067.37003Polterovich, Leonid; Rudnick, Zeev 6 2001 Partially ordered groups and geometry of contact transformations. Zbl 0986.53036Eliashberg, Y.; Polterovich, L. 33 2000 On the asymptotic geometry of area-preserving maps. Zbl 0976.37030Polterovich, Leonid; Siburg, Karl Friedrich 2 2000 Topological rigidity of Hamiltonian loops and quantum homology. Zbl 0907.58004Lalonde, François; McDuff, Dusa; Polterovich, Leonid 23 1999 On the flux conjectures. Zbl 0974.53062Lalonde, François; McDuff, Dusa; Polterovich, Leonid 16 1998 Hofer’s diameter and Lagrangian intersections. Zbl 0939.37030Polterovich, Leonid 11 1998 Geometry on the group of Hamiltonian diffeomorphisms. Zbl 0909.58004Polterovich, Leonid 10 1998 Symplectic aspects of the first eigenvalue. Zbl 0902.58012Polterovich, Leonid 8 1998 Precise measurements in symplectic topology. Zbl 0912.53022Polterovich, Leonid 1 1998 Symplectic diffeomorphisms as isometries of Hofer’s norm. Zbl 0874.53028Lalonde, François; Polterovich, Leonid 14 1997 The problem of Lagrangian knots in four-manifolds. Zbl 0889.57036Eliashberg, Yakov; Polterovich, Leonid 12 1997 Hamiltonian loops and Arnold’s principle. Zbl 0885.58027Polterovich, Leonid 5 1997 Local Lagrangian 2-knots are trivial. Zbl 0872.57030Eliashberg, Y.; Polterovich, L. 18 1996 Gromov’s K-area and symplectic rigidity. Zbl 0873.58037Polterovich, L. 5 1996 Invariant tori and symplectic topology. Zbl 0847.58022Bialy, M.; Polterovich, L. 5 1996 An obstacle to non-Lagrangian intersections. Zbl 0847.58038Polterovich, L. 12 1995 Hopf-type rigidity for Newton equations. Zbl 0861.58012Bialy, Misha; Polterovich, Leonid 8 1995 Symplectic packings and algebraic geometry. Zbl 0833.53028McDuff, Dusa; Polterovich, Leonid 49 1994 Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms. Zbl 0819.58006Bialy, Misha; Polterovich, Leonid 28 1994 New applications of Luttinger’s surgery. Zbl 0853.57012Eliashberg, Yakov; Polterovich, Leonid 7 1994 Optical Hamiltonian functions. Zbl 0879.58024Bialy, Misha; Polterovich, Leonid 2 1994 Symplectic displacement energy for Lagrangian submanifolds. Zbl 0781.58007Polterovich, Leonid 23 1993 Unknottedness of Lagrangian surfaces in symplectic 4-manifolds. Zbl 0808.57021Eliashberg, Yakov; Polterovich, Leonid 17 1993 Biinvariant metrics on the group of Hamiltonian diffeomorphisms. Zbl 0795.58016Eliashberg, Yakov; Polterovich, Leonid 12 1993 The Maslov class rigidity and non-existence of Lagrangian embeddings. Zbl 0815.53043Polterovich, Leonid 2 1993 Hamiltonian systems, Lagrangian tori and Birkhoff’s theorem. Zbl 0735.58016Bialy, Misha; Polterovich, Leonid 13 1992 Hamiltonian diffeomorphisms and Lagrangian distributions. Zbl 0761.58010Bialy, M.; Polterovich, L. 13 1992 The surgery of Lagrange submanifolds. Zbl 0754.57027Polterovich, L. 33 1991 The Maslov class of the Lagrange surfaces and Gromov’s pseudo-holomorphic curves. Zbl 0719.53016Polterovich, L. V. 18 1991 Monotone Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles. Zbl 0703.58018Polterovich, Leonid 9 1991 The second Birkhoff theorem for optical Hamiltonian systems. Zbl 0737.58023Polterovich, Leonid 5 1991 Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0675.58016Bialy, M. L.; Polterovich, L. V. 13 1989 On transport in dynamical systems. Zbl 0729.28014Polterovich, L. V. 3 1988 Geodesic flows on the two-dimensional torus and phase transitions “commensurability-noncommensurability”. Zbl 0641.58032Byalyĭ, M. L.; Polterovich, L. V. 13 1986 all cited Publications top 5 cited Publications all top 5 Cited by 527 Authors 28 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 Buhovsky, Lev 10 Eliashberg, Yakov Matveevich 9 Gürel, Basak Zehra 9 Zapolsky, Frol 8 de Gosson, Maurice Alexis 8 Entov, Michael 8 Frauenfelder, Urs Adrian 7 Albers, Peter 7 Biran, Paul 7 Cieliebak, Kai 7 Dimitroglou Rizell, Georgios 7 Paternain, Gabriel Pedro 7 Rybicki, Tomasz 7 Shelukhin, Egor 7 Smith, Ivan 7 Zehmisch, Kai 6 Casals, Roger 6 Kawasaki, Morimichi 6 Macarini, Leonardo 6 Oh, Yong-Geun 6 Seyfaddini, Sobhan 6 Viña, Andrés 6 Vũ Ngọc, San 5 Borman, Matthew Strom 5 Butler, Svetlana V. 5 Cornea, Octav 5 Gal, Światosław R. 5 Leclercq, Rémi 5 Merry, Will J. 5 Milinković, Darko 5 Nemirovskiĭ, Stefan Yur’evich 5 Ono, Kaoru 5 Presas, Francisco 5 Sandon, Sheila 5 Shtern, Aleksandr Isaakovich 5 Sorrentino, Alfonso 4 Abbondandolo, Alberto 4 Benedetti, Gabriele 4 Ferreira de Velloso Vianna, Renato 4 Franks, John M. 4 Fukaya, Kenji 4 Handel, Michael 4 Logunov, Alexander Andreevich 4 MacKay, Robert Sinclair 4 Navas, Andrés 4 Py, Pierre 4 Seidel, Paul 4 Usher, Michael 3 Abouzaid, Mohammed 3 Abreu, Miguel 3 Arnaud, Marie-Claude 3 Bae, Youngjin 3 ben Simon, Gabi 3 Bisgaard, Mads R. 3 Cardin, Franco 3 Charles, Laurent 3 Ekholm, Tobias 3 El Soufi, Ahmad 3 Evain, Laurent 3 Georgiev, Bogdan 3 Hartnick, Tobias 3 Humilière, Vincent 3 Katić, Jelena 3 Kerman, Ely 3 Le Floch, Yohann 3 Lu, Guangcun 3 Mangoubi, Dan 3 Mukherjee, Mayukh 3 Murphy, Emmy 3 Nikolić, Jovana 3 Ohta, Hiroshi 3 Orita, Ryuma 3 Ostrover, Yaron 3 Pedroza, Andrés 3 Potapov, Igor 3 Rosen, Daniel 3 Shabtai, Ood 3 Siburg, Karl Friedrich 3 Tonkonog, Dmitry 3 Traynor, Lisa 3 Viterbo, Claude 3 Wehrheim, Katrin 3 Wendl, Chris 3 Wu, Weiwei 3 Zhang, Jun 2 Bangert, Victor 2 Banyaga, Augustin 2 Barron, Tatyana 2 Bowden, Jonathan Peter 2 Burger, Marc 2 Buşe, Olguţa ...and 427 more Authors all top 5 Cited in 156 Serials 32 Geometry & Topology 32 Journal of Topology and Analysis 23 Mathematische Zeitschrift 22 Geometric and Functional Analysis. GAFA 21 Duke Mathematical Journal 18 Israel Journal of Mathematics 18 Algebraic & Geometric Topology 15 International Journal of Mathematics 14 Selecta Mathematica. New Series 13 Inventiones Mathematicae 12 Mathematische Annalen 11 Compositio Mathematica 11 Proceedings of the American Mathematical Society 11 Differential Geometry and its Applications 11 Communications in Contemporary Mathematics 11 Journal of Modern Dynamics 10 Advances in Mathematics 9 Communications in Mathematical Physics 9 Geometriae Dedicata 9 Transactions of the American Mathematical Society 9 Journal of Fixed Point Theory and Applications 8 Annales de l’Institut Fourier 8 Calculus of Variations and Partial Differential Equations 7 Commentarii Mathematici Helvetici 7 Ergodic Theory and Dynamical Systems 7 Journal of the American Mathematical Society 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Letters in Mathematical Physics 6 Journal of Geometry and Physics 6 Bulletin of the American Mathematical Society. New Series 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 6 Annales Mathématiques du Québec 5 Journal of Mathematical Analysis and Applications 5 Topology and its Applications 5 Annals of Global Analysis and Geometry 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 Communications in Partial Differential Equations 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 Functional Analysis 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 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 Foundations of Computational Mathematics 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 Physica A 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 ...and 56 more Serials all top 5 Cited in 45 Fields 421 Differential geometry (53-XX) 191 Dynamical systems and ergodic theory (37-XX) 190 Manifolds and cell complexes (57-XX) 78 Global analysis, analysis on manifolds (58-XX) 45 Algebraic geometry (14-XX) 37 Quantum theory (81-XX) 34 Group theory and generalizations (20-XX) 31 Mechanics of particles and systems (70-XX) 29 Partial differential equations (35-XX) 28 Topological groups, Lie groups (22-XX) 28 Algebraic topology (55-XX) 26 Several complex variables and analytic spaces (32-XX) 13 Operator theory (47-XX) 12 Functional analysis (46-XX) 11 Measure and integration (28-XX) 9 Convex and discrete geometry (52-XX) 8 General topology (54-XX) 6 Combinatorics (05-XX) 6 Category theory; homological algebra (18-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 Functions of a complex variable (30-XX) 5 Geometry (51-XX) 4 Potential theory (31-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Probability theory and stochastic processes (60-XX) 3 Relativity and gravitational theory (83-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 Numerical analysis (65-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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