Leonid Polterovich - Publications

Affiliations: 
Mathematics University of Chicago, Chicago, IL 
Area:
Mathematics, Applied Mathematics

34 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2018 Charles L, Polterovich L. Quantum Speed Limit Versus Classical Displacement Energy Annales Henri Poincaré. 19: 1215-1257. DOI: 10.1007/S00023-018-0649-7  0.308
2017 Cieliebak K, Eliashberg Y, Polterovich L. Contact orderability up to conjugation Regular and Chaotic Dynamics. 22: 585-602. DOI: 10.1134/S1560354717060028  0.339
2017 Entov M, Polterovich L. Lagrangian tetragons and instabilities in Hamiltonian dynamics Nonlinearity. 30: 13-34. DOI: 10.1088/0951-7715/30/1/13  0.349
2016 Polterovich L, Shelukhin E. Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules Selecta Mathematica, New Series. 22: 227-296. DOI: 10.1007/S00029-015-0201-2  0.303
2014 Pelayo Á, Polterovich L, Ngọc SV. Semiclassical quantization and spectral limits of ħ-pseudodifferential and Berezin–Toeplitz operators Proceedings of the London Mathematical Society. 109: 676-696. DOI: 10.1112/Plms/Pdu015  0.341
2014 Polterovich L. Symplectic Geometry of Quantum Noise Communications in Mathematical Physics. 327: 481-519. DOI: 10.1007/S00220-014-1937-9  0.316
2012 Polterovich L. Quantum Unsharpness and Symplectic Rigidity Letters in Mathematical Physics. 102: 245-264. DOI: 10.1007/S11005-012-0564-7  0.323
2012 Buhovsky L, Entov M, Polterovich L. Poisson brackets and symplectic invariants Selecta Mathematica, New Series. 18: 89-157. DOI: 10.1007/S00029-011-0068-9  0.39
2010 Entov M, Polterovich L, Rosen D. Poisson brackets, quasi-states and symplectic integrators Discrete and Continuous Dynamical Systems. 28: 1455-1465. DOI: 10.3934/Dcds.2010.28.1455  0.363
2009 Entov M, Polterovich L. Rigid subsets of symplectic manifolds Compositio Mathematica. 145: 773-826. DOI: 10.1112/S0010437X0900400X  0.36
2009 Entov M, Polterovich L. C 0-rigidity of the double Poisson bracket International Mathematics Research Notices. 2009: 1134-1158. DOI: 10.1093/Imrn/Rnn162  0.349
2007 Entov M, Polterovich L, Zapolsky F. Quasi-morphism and the poisson bracket Pure and Applied Mathematics Quarterly. 3: 1037-1055. DOI: 10.4310/Pamq.2007.V3.N4.A9  0.382
2007 Polterovich L, Sodin M. Nodal inequalities on surfaces Mathematical Proceedings of the Cambridge Philosophical Society. 143: 459-467. DOI: 10.1017/S0305004107000175  0.323
2007 Entov M, Polterovich L, Zapolsky F. An "anti-Gleason" phenomenon and simultaneous measurements in classical mechanics Foundations of Physics. 37: 1306-1316. DOI: 10.1007/S10701-007-9158-0  0.372
2006 Knieper G, Polterovich L, Potyagailo L. Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry Oberwolfach Reports. 9: 2337-2406. DOI: 10.4171/Owr/2008/42  0.331
2006 Entov M, Polterovich L. Quasi-states and symplectic intersections Commentarii Mathematici Helvetici. 81: 75-99. DOI: 10.4171/Cmh/43  0.38
2006 Eliashberg Y, Kim SS, Polterovich L. Geometry of contact transformations and domains: orderability versus squeezing Geometry & Topology. 10: 1635-1747. DOI: 10.2140/Gt.2006.10.1635  0.379
2005 Nazarov F, Polterovich L, Sodin M. Sign and area in nodal geometry of Laplace eigenfunctions American Journal of Mathematics. 127: 879-910. DOI: 10.1353/Ajm.2005.0030  0.32
2004 Biran P, Entov M, Polterovich L. Calabi quasimorphisms for the symplectic ball Communications in Contemporary Mathematics. 6: 793-802. DOI: 10.1142/S0219199704001525  0.323
2003 Biran P, Polterovich L, Salamon D. Propagation in Hamiltonian dynamics and relative symplectic homology Duke Mathematical Journal. 119: 65-118. DOI: 10.1215/S0012-7094-03-11913-4  0.345
2002 Polterovich L. Dissipation in contact dynamics Ergodic Theory and Dynamical Systems. 22: 1521-1536. DOI: 10.1017/S0143385702001001  0.352
2002 Polterovich L. Growth of maps, distortion in groups and symplectic geometry Inventiones Mathematicae. 150: 655-686. DOI: 10.1007/S00222-002-0251-X  0.352
2001 Polterovich L, Rudnick Z. Kick stability in groups and dynamical systems Nonlinearity. 14: 1331-1363. DOI: 10.1088/0951-7715/14/5/321  0.347
2000 Eliashberg Y, Polterovich L. Partially ordered groups and geometry of contact transformations Geometric and Functional Analysis. 10: 1448-1476. DOI: 10.1007/Pl00001656  0.368
1999 Lalonde F, McDuff D, Polterovich L. Topological rigidity of Hamiltonian loops and quantum homology Inventiones Mathematicae. 135: 369-385. DOI: 10.1007/S002220050289  0.372
1999 Polterovich L. Hamiltonian loops from the ergodic point of view Journal of the European Mathematical Society. 1: 87-107. DOI: 10.1007/Pl00011161  0.333
1998 Polterovich L. Symplectic aspects of the first eigenvalue Journal Fur Die Reine Und Angewandte Mathematik. 502: 1-17. DOI: 10.1515/Crll.1998.089  0.377
1997 Lalonde F, Polterovich L. Symplectic diffeomorphisms as isometries of Hofer's norm Topology. 36: 711-727. DOI: 10.1016/S0040-9383(96)00024-9  0.336
1994 Bialy M, Polterovich L. Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms Duke Mathematical Journal. 76: 273-292. DOI: 10.1215/S0012-7094-94-07609-6  0.318
1994 McDuff D, Polterovich L. Symplectic packings and algebraic geometry Inventiones Mathematicae. 115: 405-429. DOI: 10.1007/Bf01231766  0.336
1993 ELIASHBERG Y, POLTEROVICH L. BIINVARIANT METRICS ON THE GROUP OF HAMILTONIAN DIFFEOMORPHISMS International Journal of Mathematics. 4: 727-738. DOI: 10.1142/S0129167X93000352  0.313
1993 Polterovich L. Symplectic displacement energy for Lagrangian submanifolds Ergodic Theory and Dynamical Systems. 13: 357-367. DOI: 10.1017/S0143385700007410  0.34
1992 Bialy M, Polterovich L. Hamiltonian systems, Lagrangian tori and Birkhoff's theorem Mathematische Annalen. 292: 619-627. DOI: 10.1007/Bf01444639  0.303
1991 Polterovich L. Monotone Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles Mathematische Zeitschrift. 207: 217-222. DOI: 10.1007/Bf02571385  0.302
Show low-probability matches.