Leonid Polterovich

Leonid Polterovich's AcademicInfluence.com Rankings

Leonid Polterovich

Mathematics

#1950

World Rank

#3091

Historical Rank

Differential Topology

#11

World Rank

#11

Historical Rank

Measure Theory

#2987

World Rank

#3547

Historical Rank

mathematics Degrees

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Mathematics

Leonid Polterovich's Degrees

PhD Mathematics Tel Aviv University

Why Is Leonid Polterovich Influential?

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According to Wikipedia, Leonid Polterovich is a Russian-Israeli mathematician at Tel Aviv University. His research field includes symplectic geometry and dynamical systems. A native of Moscow, Polterovich earned his undergraduate degree at Moscow State University in 1984. He moved to Israel after the collapse of communism, earning his doctorate from Tel Aviv University in 1990. In 1996, he was awarded the EMS Prize, and in 1998 the Erdős Prize. In 1998, he was an Invited Speaker of the International Congress of Mathematicians in Berlin. He was a member of the faculty of the University of Chicago.

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Leonid Polterovich's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Geometry of the Group of Symplectic Diffeomorphism (2001) (365)
Calabi quasimorphism and quantum homology (2002) (228)
Symplectic packings and algebraic geometry (1994) (196)
Rigid subsets of symplectic manifolds (2007) (159)
Erratum to “Geometry of contact transformations and domains: orderability versus squeezing” (2005) (149)
Quasi-states and symplectic intersections (2004) (146)
New Perspectives and Challenges in Symplectic Field Theory (2009) (129)
Growth of maps, distortion in groups and symplectic geometry (2001) (119)
Symplectic displacement energy for Lagrangian submanifolds (1993) (116)
Conjugation-invariant norms on groups of geometric origin (2007) (111)
Partially ordered groups and geometry of contact transformations (1999) (108)
The surgery of lagrange submanifolds (1991) (108)
Propagation in Hamiltonian dynamics and relative symplectic homology (2001) (105)
Symplectic rigidity: Lagrangian submanifolds (1994) (102)
Topological rigidity of Hamiltonian loops and quantum homology (1997) (98)
Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules (2014) (94)
Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms (1994) (87)
CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL (2003) (83)
Function Theory on Symplectic Manifolds (2014) (71)
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory (2002) (67)
BIINVARIANT METRICS ON THE GROUP OF HAMILTONIAN DIFFEOMORPHISMS (1993) (66)
Quasi-morphisms and the Poisson bracket (2006) (64)
Local Lagrangian $2$-knots are trivial (1996) (64)
Symplectic quasi-states and semi-simplicity of quantum homology (2007) (57)
On the Flux Conjectures (1997) (54)
Hofer's diameter and Lagrangian intersections (1998) (53)
Sign and area in nodal geometry of Laplace eigenfunctions (2004) (53)
Gromov's K-area and symplectic rigidity (1996) (52)
The Maslov class of the Lagrange surfaces and Gromov’s pseudo-holomorphic curves (1991) (52)
SYMPLECTIC ASPECTS OF THE FIRST EIGENVALUE (1997) (50)
Monotone Lagrange submanifolds of linear spaces and the Maslov class in cotangent bundles (1991) (46)
Hamiltonian systems, Lagrangian tori and Birkhoff's theorem (1992) (44)
Unknottedness of Lagrangian surfaces in symplectic 4-manifolds (1993) (42)
Persistence modules with operators in Morse and Floer theory (2017) (38)
Symplectic Geometry of Quantum Noise (2012) (38)
On Continuity of Quasimorphisms for Symplectic Maps (2012) (38)
New applications of Luttinger’s surgery (1994) (37)
Geodesic flows on the two-dimensional torus and phase transitions “commensurability-noncommensurability” (1986) (36)
Topological Persistence in Geometry and Analysis (2019) (36)
Poisson brackets and symplectic invariants (2011) (34)
Hamiltonian diffeomorphisms and lagrangian distributions (1992) (33)
C^0-rigidity of Poisson brackets (2007) (33)
Stable mixing for cat maps and quasi-morphisms of the modular group (2000) (31)
An obstacle to non-Lagrangian intersections (1995) (31)
Symplectic diffeomorphisms as isometries of Hofer's norm (1997) (30)
Quantum Unsharpness and Symplectic Rigidity (2011) (30)
A growth gap for diffeomorphisms of the interval (2002) (29)
Lagrangian singularities of invariant tori of hamiltonian systems with two degrees of freedom (1989) (26)
FLOER HOMOLOGY, DYNAMICS AND GROUPS (2006) (25)
Symplectic quasi-states on the quadric surface and Lagrangian submanifolds (2010) (24)
On Sandon-type metrics for contactomorphism groups (2012) (23)
Semiclassical quantization and spectral limits of ħ‐pseudodifferential and Berezin–Toeplitz operators (2013) (23)
Hopf-type rigidity for Newton equations (1995) (16)
Nodal inequalities on surfaces (2006) (16)
Sharp correspondence principle and quantum measurements (2015) (15)
An “Anti-Gleason” Phenomenon and Simultaneous Measurements in Classical Mechanics (2006) (12)
C^0-rigidity of the double Poisson bracket (2008) (11)
The second Birkhoff theorem for optical Hamiltonian systems (1991) (11)
Lagrangian tetragons and instabilities in Hamiltonian dynamics (2015) (11)
Poisson brackets, quasi-states and symplectic integrators (2009) (10)
Kick stability in groups and dynamical systems (2000) (10)
Persistence barcodes and Laplace eigenfunctions on surfaces (2017) (9)
Hamiltonian loops from the ergodic point of view (1998) (9)
On the asymptotic geometry of area-preserving maps (1999) (9)
On transport in dynamical systems (1988) (8)
Symplectic intersections and invariant measures (2013) (8)
Lie quasi-states (2009) (8)
Precise Measurements in Symplectic Topology (1998) (8)
On continuity of quasi-morphisms for symplectic maps (2009) (7)
Quantum Speed Limit Versus Classical Displacement Energy (2018) (7)
A linear isoperimetric inequality for the punctured Euclidean plane (2001) (7)
Spectral aspects of the Berezin transform (2018) (6)
GEODESICS ON THE TWO-DIMENSIONAL TORUS WITH TWO ROTATION NUMBERS (1989) (5)
Inferring topology of quantum phase space (2017) (5)
Quantum speed limit vs. classical displacement energy (2016) (5)
Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry (2006) (5)
OPTICAL HAMILTONIAN FUNCTIONS (1994) (5)
Lagrangian configurations and Hamiltonian maps (2021) (5)
Quantum Footprints of Symplectic Rigidity (2016) (4)
Strongly optical lagrangian manifolds (1989) (4)
Contact topology and non-equilibrium thermodynamics (2021) (4)
The Maslov class rigidity and non-existence of Lagrangian embeddings (1994) (4)
Legendrian persistence modules and dynamics (2021) (4)
Contact orderability up to conjugation (2017) (4)
Coarse nodal count and topological persistence (2022) (3)
Joint quantum measurements and Poisson bracket invariants (2012) (3)
Growth and mixing (2007) (3)
Almost representations of algebras and quantization (2020) (2)
Lagrangian submanifolds in convex domains of cotangent bundles (2002) (2)
Dissipation in contact dynamics (2002) (2)
Almost representations of Lie algebras and quantization (2020) (2)
Norm rigidity for arithmetic and profinite groups (2021) (2)
Diffeomorphisms with an anomalous growth of the differential (2001) (1)
Contact geometric approach to Glauber dynamics near a cusp and its limitation (2022) (1)
Berezin–Toeplitz Quantization and the Least Unsharpness Principle (2020) (1)
Growth and Dynamics (2001) (1)
V.I. Arnold (1937–2010) (2011) (1)
Symplectic topology and ideal-valued measures (2021) (1)
An obstruction to conservation of volume in contact dynamics (2000) (1)
Lagrangian projections of invariant tori of Hamiltonian systems with two degrees of freedom (1989) (1)
Lorentz-Finsler metrics on symplectic and contact transformation groups (2022) (1)
Quantization of symplectic fibrations and canonical metrics (2021) (1)
Quasi-States and Symplectic Topology (2010) (1)
A spectral gap for POVMs (2017) (1)
Asymptotic representations of Hamiltonian diffeomorphisms and quantization (2020) (1)
An overview of Floer theory (2014) (0)
Introducing the Group (2001) (0)
Constructing subadditive spectral invariants (2014) (0)
Linearization of Hofer’s Geometry (2001) (0)
Quantum Unsharpness and Symplectic Rigidity (2012) (0)
The $$\bar \partial$$-Equation with Lagrangian Boundary Conditions (2001) (0)
Geometry of Non-Hamiltonian Diffeomorphisms (2001) (0)
Contact orderability up to conjugation (2017) (0)
On Sandon-type metrics for contactomorphism groups (2017) (0)
A Visit to Floer Homology (2001) (0)
Symplectic quasi-states and quasi-measures (2014) (0)
Poisson brackets and symplectic invariants (2011) (0)
Geometry of covers and quantum noise (2014) (0)
Asymptotics of the scattering problem for a system of one-dimensional particles (1984) (0)
Quantum Speed Limit Versus Classical Displacement Energy (2018) (0)
rigidity of the Poisson bracket (2014) (0)
O ct 2 01 6 Lagrangian tetragons and instabilities in Hamiltonian dynamics (0)
Three wonders of symplectic geometry (2014) (0)
An Application to Ergodic Theory (2001) (0)
Feature Quantum Footprints of Symplectic Rigidity (2016) (0)
Introducing the Geometry (2001) (0)
Remembering V. I. Arnold (2014) (0)
Elements of Variational Theory of Geodesics (2001) (0)
Applications of partial symplectic quasi-states (2014) (0)
Geometries in Interaction (1995) (0)
Symplectic Geometry of Quantum Noise (2014) (0)
Deformations of Symplectic Forms and Pseudo-holomorphic Curves (2001) (0)
Inferring topology of quantum phase space (2018) (0)
Persistence barcodes and Laplace eigenfunctions on surfaces (2018) (0)
Symplectic intersections and invariant measures (2014) (0)
A Poisson bracket invariant of quadruples (2014) (0)
Preliminaries from Morse theory (2014) (0)
PreciseMeasurements in Symplectic Topology (1998) (0)
Subadditive spectral invariants (2014) (0)
M ay 2 00 5 Quasi-states and symplectic intersections (2021) (0)
70 50 03 v 1 4 M ay 1 99 7 Symplectic aspects of the first eigenvalue (1998) (0)
Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules (2015) (0)
Symplectic approximation theory (2014) (0)
Conference on Symplectic Topology: Papers from the conference held in Stare Jablonki, Poland, July 3-10, 2004 (2005) (0)
Symplectic intersections, invariant measures and the Hahn-Banach theorem (2013) (0)

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