Edit Profile Polterovich, Leonid Viktorovich Compute Distance To: Compute Author ID: polterovich.leonid Published as: Polterovich, L.; Polterovich, L. V.; Polterovich, Leonid Homepage: http://www.math.tau.ac.il/~polterov/ External Links: MGP · Math-Net.Ru · Wikidata · GND Awards: EMS Prize (1996) Documents Indexed: 92 Publications since 1986, including 6 Books all top 5 Co-Authors 29 single-authored 14 Entov, Michael 10 Eliashberg, Yakov M. 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 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 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 Tralle, Aleksy E. 1 Vũ Ngọc, San 1 Zhang, Jun all top 5 Serials 4 Inventiones Mathematicae 4 IMRN. International Mathematics Research Notices 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 all top 5 Fields 61 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) 9 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 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 74 Publications have been cited 996 times in 564 Documents Cited by ▼ Year ▼ The geometry of the group of symplectic diffeomorphism. Zbl 1197.53003Polterovich, Leonid 52 2001 Geometry of contact transformations and domains: orderability versus squeezing. Zbl 1134.53044Eliashberg, Yakov; Kim, Sang Seon; Polterovich, Leonid 50 2006 Symplectic packings and algebraic geometry. Zbl 0833.53028McDuff, Dusa; Polterovich, Leonid 48 1994 Calabi quasimorphism and quantum homology. Zbl 1047.53055Entov, Michael; Polterovich, Leonid 47 2003 Rigid subsets of symplectic manifolds. Zbl 1230.53080Entov, Michael; Polterovich, Leonid 37 2009 Quasi-states and symplectic intersections. Zbl 1096.53052Entov, Michael; Polterovich, Leonid 33 2006 Propagation in Hamiltonian dynamics and relative symplectic homology. Zbl 1034.53089Biran, Paul; Polterovich, Leonid; Salamon, Dietmar 33 2003 Growth of maps, distortion in groups and symplectic geometry. Zbl 1036.53064Polterovich, Leonid 33 2002 Conjugation-invariant norms on groups of geometric origin. Zbl 1222.20031Burago, Dmitri; Ivanov, Sergei; Polterovich, Leonid 30 2008 Calabi quasimorphisms for the symplectic ball. Zbl 1076.53110Biran, Paul; Entov, Michael; Polterovich, Leonid 30 2004 Partially ordered groups and geometry of contact transformations. Zbl 0986.53036Eliashberg, Y.; Polterovich, L. 30 2000 The surgery of Lagrange submanifolds. Zbl 0754.57027Polterovich, L. 30 1991 Topological rigidity of Hamiltonian loops and quantum homology. Zbl 0907.58004Lalonde, François; McDuff, Dusa; Polterovich, Leonid 28 1999 Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms. Zbl 0819.58006Bialy, Misha; Polterovich, Leonid 26 1994 Quasi-morphisms and the Poisson bracket. Zbl 1143.53070Entov, Michael; Polterovich, Leonid; Zapolsky, Frol 22 2007 Symplectic displacement energy for Lagrangian submanifolds. Zbl 0781.58007Polterovich, Leonid 21 1993 Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich 19 2003 The Maslov class of the Lagrange surfaces and Gromov’s pseudo-holomorphic curves. Zbl 0719.53016Polterovich, L. V. 17 1991 Local Lagrangian 2-knots are trivial. Zbl 0872.57030Eliashberg, Y.; Polterovich, L. 16 1996 Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules. Zbl 1337.53094Polterovich, Leonid; Shelukhin, Egor 15 2016 Unknottedness of Lagrangian surfaces in symplectic 4-manifolds. Zbl 0808.57021Eliashberg, Yakov; Polterovich, Leonid 15 1993 Function theory on symplectic manifolds. Zbl 1310.53002Polterovich, Leonid; Rosen, Daniel 14 2014 Symplectic quasi-states and semi-simplicity of quantum homology. Zbl 1146.53066Entov, Michael; Polterovich, Leonid 14 2008 On the flux conjectures. Zbl 0974.53062Lalonde, François; McDuff, Dusa; Polterovich, Leonid 14 1998 Symplectic diffeomorphisms as isometries of Hofer’s norm. Zbl 0874.53028Lalonde, François; Polterovich, Leonid 14 1997 Hamiltonian systems, Lagrangian tori and Birkhoff’s theorem. Zbl 0735.58016Bialy, Misha; Polterovich, Leonid 14 1992 Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom. Zbl 0675.58016Bialy, M. L.; Polterovich, L. V. 13 1989 Geodesic flows on the two-dimensional torus and phase transitions “commensurability-noncommensurability”. Zbl 0641.58032Byalyĭ, M. L.; Polterovich, L. V. 13 1986 The problem of Lagrangian knots in four-manifolds. Zbl 0889.57036Eliashberg, Yakov; Polterovich, Leonid 12 1997 An obstacle to non-Lagrangian intersections. Zbl 0847.58038Polterovich, L. 12 1995 Hamiltonian diffeomorphisms and Lagrangian distributions. Zbl 0761.58010Bialy, M.; Polterovich, L. 12 1992 Symplectic geometry of quantum noise. Zbl 1291.81198Polterovich, Leonid 11 2014 Quantum unsharpness and symplectic rigidity. Zbl 1261.81078Polterovich, Leonid 11 2012 Poisson brackets and symplectic invariants. Zbl 1242.53099Buhovsky, Lev; Entov, Michael; Polterovich, Leonid 11 2012 Sign and area in nodal geometry of Laplace eigenfunctions. Zbl 1079.58026Nazarov, Fëdor; Polterovich, Leonid; Sodin, Mikhail 11 2005 Stable mixing for cat maps and quasi-morphisms of the modular group. Zbl 1071.37019Polterovich, Leonid; Rudnick, Zeev 11 2004 \(C^0\)-rigidity of Poisson brackets. Zbl 1197.53115Entov, Michael; Polterovich, Leonid 10 2010 Geometry on the group of Hamiltonian diffeomorphisms. Zbl 0909.58004Polterovich, Leonid 10 1998 Biinvariant metrics on the group of Hamiltonian diffeomorphisms. Zbl 0795.58016Eliashberg, Yakov; Polterovich, Leonid 10 1993 Hofer’s diameter and Lagrangian intersections. Zbl 0939.37030Polterovich, Leonid 9 1998 Monotone Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles. Zbl 0703.58018Polterovich, Leonid 9 1991 On continuity of quasimorphisms for symplectic maps. Zbl 1251.53047Entov, Michael; Polterovich, Leonid; Py, Pierre; Khanevsky, Michael 8 2012 A growth gap for diffeomorphisms of the interval. Zbl 1056.37027Polterovich, Leonid; Sodin, Mikhail 8 2004 Symplectic aspects of the first eigenvalue. Zbl 0902.58012Polterovich, Leonid 8 1998 Hopf-type rigidity for Newton equations. Zbl 0861.58012Bialy, Misha; Polterovich, Leonid 8 1995 On Sandon-type metrics for contactomorphism groups. Zbl 1402.53062Fraser, Maia; Polterovich, Leonid; Rosen, Daniel 7 2018 New applications of Luttinger’s surgery. Zbl 0853.57012Eliashberg, Yakov; Polterovich, Leonid 7 1994 Lagrangian tetragons and instabilities in Hamiltonian dynamics. Zbl 1375.37147Entov, Michael; Polterovich, Leonid 6 2017 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 Hamiltonian loops and Arnold’s principle. Zbl 0885.58027Polterovich, Leonid 6 1997 Semiclassical quantization and spectral limits of \(\hbar\)-pseudodifferential and Berezin-Toeplitz operators. Zbl 1321.53108Pelayo, Álvaro; Polterovich, Leonid; Ngọc, San Vũ 5 2014 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 The second Birkhoff theorem for optical Hamiltonian systems. Zbl 0737.58023Polterovich, Leonid 5 1991 Persistence modules with operators in Morse and Floer theory. Zbl 1422.53074Polterovich, Leonid; Shelukhin, Egor; Stojisavljević, Vukašin 4 2017 Quantum speed limit versus classical displacement energy. Zbl 1388.81238Charles, Laurent; Polterovich, Leonid 3 2018 Lie quasi-states. Zbl 1182.53075Entov, Michael; Polterovich, Leonid 3 2009 \(C^{0}\)-rigidity of the double Poisson bracket. Zbl 1163.53049Entov, Michael; Polterovich, Leonid 3 2009 An “Anti-gleason” phenomenon and simultaneous measurements in classical mechanics. Zbl 1129.81007Entov, Michael; Polterovich, Leonid; Zapolsky, Frol 3 2007 Slow symplectic maps, continued fractions, and related stories. Zbl 1070.37035Polterovich, Leonid 3 2003 On transport in dynamical systems. Zbl 0729.28014Polterovich, L. V. 3 1988 Sharp correspondence principle and quantum measurements. Zbl 1383.53065Charles, L.; Polterovich, L. 2 2018 Symplectic intersections and invariant measures. Zbl 1297.53060Polterovich, Leonid 2 2014 Nodal inequalities on surfaces. Zbl 1127.58029Polterovich, Leonid; Sodin, Mikhail 2 2007 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 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 Quantum footprints of symplectic rigidity. Zbl 1368.81034Polterovich, Leonid 1 2016 Poisson brackets, quasi-states and symplectic integrators. Zbl 1200.53068Entov, Michael; Polterovich, Leonid; Rosen, Daniel 1 2010 Growth and mixing. Zbl 1148.37002Frączek, Krzysztof; Polterovich, Leonid 1 2008 Precise measurements in symplectic topology. Zbl 0912.53022Polterovich, Leonid 1 1998 The Maslov class rigidity and non-existence of Lagrangian embeddings. Zbl 0815.53043Polterovich, Leonid 1 1993 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 7 2018 Quantum speed limit versus classical displacement energy. Zbl 1388.81238Charles, Laurent; Polterovich, Leonid 3 2018 Sharp correspondence principle and quantum measurements. Zbl 1383.53065Charles, L.; Polterovich, L. 2 2018 Inferring topology of quantum phase space. Zbl 1420.81018Polterovich, Leonid 1 2018 Lagrangian tetragons and instabilities in Hamiltonian dynamics. Zbl 1375.37147Entov, Michael; Polterovich, Leonid 6 2017 Persistence modules with operators in Morse and Floer theory. Zbl 1422.53074Polterovich, Leonid; Shelukhin, Egor; Stojisavljević, Vukašin 4 2017 Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules. Zbl 1337.53094Polterovich, Leonid; Shelukhin, Egor 15 2016 Quantum footprints of symplectic rigidity. Zbl 1368.81034Polterovich, Leonid 1 2016 Function theory on symplectic manifolds. Zbl 1310.53002Polterovich, Leonid; Rosen, Daniel 14 2014 Symplectic geometry of quantum noise. Zbl 1291.81198Polterovich, Leonid 11 2014 Semiclassical quantization and spectral limits of \(\hbar\)-pseudodifferential and Berezin-Toeplitz operators. Zbl 1321.53108Pelayo, Álvaro; Polterovich, Leonid; Ngọc, San Vũ 5 2014 Symplectic intersections and invariant measures. Zbl 1297.53060Polterovich, Leonid 2 2014 Quantum unsharpness and symplectic rigidity. Zbl 1261.81078Polterovich, Leonid 11 2012 Poisson brackets and symplectic invariants. Zbl 1242.53099Buhovsky, Lev; Entov, Michael; Polterovich, Leonid 11 2012 On continuity of quasimorphisms for symplectic maps. Zbl 1251.53047Entov, Michael; Polterovich, Leonid; Py, Pierre; Khanevsky, Michael 8 2012 \(C^0\)-rigidity of Poisson brackets. Zbl 1197.53115Entov, Michael; Polterovich, Leonid 10 2010 Poisson brackets, quasi-states and symplectic integrators. Zbl 1200.53068Entov, Michael; Polterovich, Leonid; Rosen, Daniel 1 2010 Rigid subsets of symplectic manifolds. Zbl 1230.53080Entov, Michael; Polterovich, Leonid 37 2009 Lie quasi-states. Zbl 1182.53075Entov, Michael; Polterovich, Leonid 3 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 30 2008 Symplectic quasi-states and semi-simplicity of quantum homology. Zbl 1146.53066Entov, Michael; Polterovich, Leonid 14 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 22 2007 An “Anti-gleason” phenomenon and simultaneous measurements in classical mechanics. Zbl 1129.81007Entov, Michael; Polterovich, Leonid; Zapolsky, Frol 3 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 50 2006 Quasi-states and symplectic intersections. Zbl 1096.53052Entov, Michael; Polterovich, Leonid 33 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 11 2005 Calabi quasimorphisms for the symplectic ball. Zbl 1076.53110Biran, Paul; Entov, Michael; Polterovich, Leonid 30 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 8 2004 Calabi quasimorphism and quantum homology. Zbl 1047.53055Entov, Michael; Polterovich, Leonid 47 2003 Propagation in Hamiltonian dynamics and relative symplectic homology. Zbl 1034.53089Biran, Paul; Polterovich, Leonid; Salamon, Dietmar 33 2003 Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory. Zbl 1048.53058Paternain, Gabriel P.; Polterovich, Leonid; Siburg, Karl Friedrich 19 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 33 2002 The geometry of the group of symplectic diffeomorphism. Zbl 1197.53003Polterovich, Leonid 52 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. 30 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 28 1999 On the flux conjectures. Zbl 0974.53062Lalonde, François; McDuff, Dusa; Polterovich, Leonid 14 1998 Geometry on the group of Hamiltonian diffeomorphisms. Zbl 0909.58004Polterovich, Leonid 10 1998 Hofer’s diameter and Lagrangian intersections. Zbl 0939.37030Polterovich, Leonid 9 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 6 1997 Local Lagrangian 2-knots are trivial. Zbl 0872.57030Eliashberg, Y.; Polterovich, L. 16 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 48 1994 Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms. Zbl 0819.58006Bialy, Misha; Polterovich, Leonid 26 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 21 1993 Unknottedness of Lagrangian surfaces in symplectic 4-manifolds. Zbl 0808.57021Eliashberg, Yakov; Polterovich, Leonid 15 1993 Biinvariant metrics on the group of Hamiltonian diffeomorphisms. Zbl 0795.58016Eliashberg, Yakov; Polterovich, Leonid 10 1993 The Maslov class rigidity and non-existence of Lagrangian embeddings. Zbl 0815.53043Polterovich, Leonid 1 1993 Hamiltonian systems, Lagrangian tori and Birkhoff’s theorem. Zbl 0735.58016Bialy, Misha; Polterovich, Leonid 14 1992 Hamiltonian diffeomorphisms and Lagrangian distributions. Zbl 0761.58010Bialy, M.; Polterovich, L. 12 1992 The surgery of Lagrange submanifolds. Zbl 0754.57027Polterovich, L. 30 1991 The Maslov class of the Lagrange surfaces and Gromov’s pseudo-holomorphic curves. Zbl 0719.53016Polterovich, L. V. 17 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 507 Authors 26 Polterovich, Leonid Viktorovich 17 Ginzburg, Viktor L’vovich 14 McDuff, Dusa 12 Schlenk, Felix 11 Bialy, Misha 11 de Gosson, Maurice Alexis 11 Kȩdra, Jarek 11 Lalonde, François 10 Brandenbursky, Michael 10 Eliashberg, Yakov M. 10 Pelayo, Alvaro 9 Gürel, Basak Zehra 9 Zapolsky, Frol 8 Buhovsky, Lev 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 Viña, Andrés 7 Zehmisch, Kai 6 Macarini, Leonardo 6 Oh, Yong-Geun 6 Smith, Ivan 6 Vũ Ngọc, San 5 Biran, Paul 5 Borman, Matthew Strom 5 Gal, Światosław R. 5 Leclercq, Rémi 5 Presas, Francisco 5 Sandon, Sheila 5 Shelukhin, Egor 5 Shtern, Aleksandr Isaakovich 5 Sorrentino, Alfonso 4 Abbondandolo, Alberto 4 Casals, Roger 4 Franks, John M. 4 Fukaya, Kenji 4 Handel, Michael 4 Kawasaki, Morimichi 4 Li, Tian-Jun 4 Logunov, Alexander Andreevich 4 MacKay, Robert Sinclair 4 Merry, Will J. 4 Milinković, Darko 4 Nemirovskiĭ, Stefan Yur’evich 4 Ono, Kaoru 4 Py, Pierre 4 Seidel, Paul 4 Seyfaddini, Sobhan 4 Wu, Weiwei 3 Abouzaid, Mohammed 3 Abreu, Miguel 3 Arnaud, Marie-Claude 3 Bae, Youngjin 3 Banyaga, Augustin 3 ben Simon, Gabi 3 Benedetti, Gabriele 3 Bisgaard, Mads R. 3 Charles, Laurent 3 Cornea, Octav 3 Ekholm, Tobias 3 El Soufi, Ahmad 3 Evain, Laurent 3 Ferreira de Velloso Vianna, Renato 3 Hartnick, Tobias 3 Kerman, Ely 3 Le Floch, Yohann 3 Lu, Guangcun 3 Luef, Franz 3 Mangoubi, Dan 3 Murphy, Emmy 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 2 Bangert, Victor 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 Colbois, Bruno 2 Dias Carneiro, Mario Jorge 2 Dias, Nuno Costa 2 Fathi, Albert 2 Fuchs, Urs 2 Georgiev, Bogdan 2 Glasmachers, Eva 2 Gong, Wenmin ...and 407 more Authors all top 5 Cited in 145 Serials 32 Geometry & Topology 30 Journal of Topology and Analysis 22 Mathematische Zeitschrift 21 Duke Mathematical Journal 21 Geometric and Functional Analysis. GAFA 18 Algebraic & Geometric Topology 17 Israel Journal of Mathematics 14 International Journal of Mathematics 13 Inventiones Mathematicae 13 Differential Geometry and its Applications 11 Mathematische Annalen 11 Selecta Mathematica. New Series 10 Advances in Mathematics 10 Compositio Mathematica 10 Proceedings of the American Mathematical Society 9 Communications in Mathematical Physics 8 Annales de l’Institut Fourier 8 Geometriae Dedicata 8 Transactions of the American Mathematical Society 8 Communications in Contemporary Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Modern Dynamics 7 Calculus of Variations and Partial Differential Equations 6 Journal of Geometry and Physics 6 Commentarii Mathematici Helvetici 6 Journal of the American Mathematical Society 5 Journal of Mathematical Analysis and Applications 5 Letters in Mathematical Physics 5 Topology and its Applications 5 Ergodic Theory and Dynamical Systems 5 Annals of Global Analysis and Geometry 5 Bulletin of the American Mathematical Society. New Series 5 Annals of Mathematics. Second Series 5 Journal of the European Mathematical Society (JEMS) 5 Journal of Fixed Point Theory and Applications 5 Annales Mathématiques du Québec 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Manuscripta Mathematica 4 Pacific Journal of Mathematics 4 Foundations of Physics 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Physics 3 Nonlinearity 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 Journal für die Reine und Angewandte Mathematik 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 Physics Letters. A 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 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 45 more Serials all top 5 Cited in 45 Fields 392 Differential geometry (53-XX) 174 Dynamical systems and ergodic theory (37-XX) 174 Manifolds and cell complexes (57-XX) 71 Global analysis, analysis on manifolds (58-XX) 39 Algebraic geometry (14-XX) 33 Quantum theory (81-XX) 30 Group theory and generalizations (20-XX) 30 Mechanics of particles and systems (70-XX) 27 Topological groups, Lie groups (22-XX) 26 Partial differential equations (35-XX) 24 Algebraic topology (55-XX) 22 Several complex variables and analytic spaces (32-XX) 10 Convex and discrete geometry (52-XX) 9 Operator theory (47-XX) 8 Functional analysis (46-XX) 7 Measure and integration (28-XX) 6 Combinatorics (05-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Geometry (51-XX) 6 General topology (54-XX) 5 Number theory (11-XX) 5 Category theory; homological algebra (18-XX) 5 Fluid mechanics (76-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 4 Computer science (68-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) Citations by Year Wikidata Timeline