Maciej Zworski
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Polish/American/Canadian mathematician
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Maciej Zworskimathematics Degrees
Mathematics
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Measure Theory
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#2542
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Mathematics
Maciej Zworski's Degrees
- PhD Mathematics Paris-Saclay University
- Masters Mathematics Paris-Saclay University
- Bachelors Mathematics University of Warsaw
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Why Is Maciej Zworski Influential?
(Suggest an Edit or Addition)According to Wikipedia, Maciej Zworski is a Polish-Canadian mathematician, currently a professor of mathematics at the University of California, Berkeley. His mathematical interests include microlocal analysis, scattering theory, and partial differential equations.
Maciej Zworski'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
- Scattering matrix in conformal geometry (2001) (462)
- Mathematical Theory of Scattering Resonances (2019) (315)
- Complex scaling and the distribution of scattering poles (1991) (301)
- Control in the presence of a black box (2003) (195)
- Ergodicity of eigenfunctions for ergodic billiards (1996) (188)
- Distribution of poles for scattering on the real line (1987) (188)
- Scattering asymptotics for Riemann surfaces (1997) (164)
- Quantum decay rates in chaotic scattering (2007) (160)
- RESONANCES IN PHYSICS AND GEOMETRY (1999) (156)
- Dynamical zeta functions for Anosov flows via microlocal analysis (2013) (147)
- Pseudospectra of semiclassical (pseudo‐) differential operators (2004) (146)
- Fast Soliton Scattering by Delta Impurities (2006) (133)
- Scattering metrics and geodesic flow at infinity (1996) (133)
- The Selberg Zeta Function for Convex Co-Compact Schottky Groups (2002) (123)
- Sharp polynomial bounds on the number of scattering poles (1989) (115)
- Distribution of resonances for spherical black holes (1997) (114)
- From quasimodes to resonances (1998) (113)
- Fractal Weyl laws for chaotic open systems. (2002) (111)
- Mathematical study of scattering resonances (2016) (108)
- Fractal upper bounds on the density of semiclassical resonances (2005) (107)
- Elementary linear algebra for advanced spectral problems (2003) (100)
- Resonance expansions of scattered waves (2000) (98)
- Semiclassical Estimates¶in Asymptotically Euclidean Scattering (1999) (91)
- Lower bounds on the number of scattering poles (1993) (88)
- Soliton Splitting by External Delta Potentials (2006) (88)
- Resolvent Estimates for Normally Hyperbolic Trapped Sets (2010) (86)
- Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity (1995) (85)
- Slow soliton interaction with delta impurities (2007) (79)
- Decay of correlations for normally hyperbolic trapping (2013) (77)
- Asymptotic distribution of resonances for convex obstacles (1999) (76)
- Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces (1999) (73)
- Sharp polynomial bounds on the number of scattering poles of radial potentials (1989) (72)
- Birkhoff normal forms in semi-classical inverse problems (2002) (70)
- A remark on a paper of E. B. Davies (2001) (69)
- Soliton interaction with slowly varying potentials (2007) (69)
- Semi-classical Estimates on the Scattering Determinant (2001) (67)
- Quantum monodromy and semi-classical trace formulae (2001) (66)
- Bouncing Ball Modes and Quantum Chaos (2003) (63)
- Semiclassical Lp Estimates (2006) (62)
- Lower Bounds on the Number of Scattering Poles, II (1994) (62)
- The Wave Trace for Riemann Surfaces (1999) (62)
- Quantum monodromy and semi-classical trace formulæ (2002) (60)
- Distribution of Resonances for Open Quantum Maps (2005) (56)
- Fractal Weyl laws in discrete models of chaotic scattering (2005) (51)
- Poisson Formula for Resonances in Even Dimensions (1999) (49)
- A Remark on Isopolar Potentials (2001) (48)
- SEMICLASSICAL L p ESTIMATES (2014) (47)
- Stochastic stability of Pollicott–Ruelle resonances (2014) (45)
- Resonances for asymptotically hyperbolic manifolds: Vasy's method revisited (2015) (44)
- Numerical Linear Algebra and Solvability of Partial Differential Equations (2002) (44)
- Breit–Wigner Approximation and the Distribution¶of Resonances (1999) (43)
- Quantum ergodicity for restrictions to hypersurfaces (2012) (43)
- Ruelle zeta function at zero for surfaces (2016) (43)
- Existence of resonances in potential scattering (1996) (40)
- Resonance expansions of propagators in the presence of potential barriers (2003) (39)
- Experimental observation of the spectral gap in microwave n-disk systems. (2012) (39)
- Quantum resonances in chaotic scattering (2002) (37)
- Resonance Expansions in Semi-Classical Propagation (2001) (35)
- Existence of resonances in three dimensions (1995) (35)
- The complex scaling method for scattering by strictly convex obstacles (1995) (34)
- Control for Schrödinger operators on 2-tori: rough potentials (2013) (34)
- Weyl asymptotics: from closed to open systems. (2012) (33)
- Spectral asymptotics for manifolds with cylindrical ends (1995) (33)
- Effective Dynamics of Double Solitons for Perturbed mKdV (2009) (33)
- Distribution of resonances for asymptotically euclidean manifolds (2000) (33)
- Fractal Weyl law for open quantum chaotic maps (2011) (31)
- Microlocal analysis of forced waves (2018) (31)
- Semiclassical resolvent estimates in chaotic scattering (2009) (31)
- Weighted Eigenfunction Estimates with Applications to Compressed Sensing (2011) (30)
- Pseudospectra of semi-classical (pseudo)differential operators (2003) (27)
- Sharp polynomial bounds on the number of Pollicott–Ruelle resonances (2012) (26)
- Poisson formulæ for resonances. (1997) (26)
- From Open Quantum Systems to Open Quantum Maps (2010) (26)
- Quantum resonances and partial differential equations (2003) (25)
- Control for Schroedinger operators on tori (2011) (24)
- Scattering resonances as viscosity limits (2013) (22)
- Resonances and lower resolvent bounds (2014) (22)
- The FBI transform on compact ^{∞} manifolds (2000) (22)
- On dissipation-induced destabilization and brake squeal: A perspective using structured pseudospectra (2007) (21)
- Breathing patterns in nonlinear relaxation (2008) (20)
- Probabilistic Weyl Laws for Quantized Tori (2009) (20)
- High frequency scattering by a convex obstacle (1990) (20)
- Estimates on the number of scattering poles near the real axis for strictly convex obstacles (1993) (19)
- Quantum and classical dynamics (2012) (18)
- Distribution of scattering poles near the real axis (1992) (18)
- Spectral characterization of magic angles in twisted bilayer graphene (2020) (17)
- Scattering matrices and scattering geodesics of locally symmetric spaces (2001) (17)
- Growth of the zeta function for a quadratic map and the dimension of the Julia set (2004) (16)
- Eigenfunctions for partially rectangular billiards (2003) (16)
- Inverse Problems and Applications (2014) (15)
- Instability for the Semiclassical Non-linear Schrödinger Equation (2005) (15)
- Mathematics of magic angles in a model of twisted bilayer graphene (2020) (15)
- A Fermi golden rule for quantum graphs (2016) (14)
- Fractal uncertainty for transfer operators (2017) (13)
- Trapping of waves and null geodesics for rotating black holes (2013) (13)
- Spacing Between Phase Shifts in a Simple¶Scattering Problem (2000) (13)
- Harmonic functions of polynomial growth on certain complete manifolds (1996) (12)
- The Remainder Estimate in Spectral Accumulation for Degenerating Hyperbolic Surfaces (1993) (12)
- Resonant Rigidity of S2 (1999) (11)
- Rough controls for Schrödinger operators on 2-tori (2017) (11)
- Viscosity limits for 0th order pseudodifferential operators. (2019) (11)
- Resonance Wave Expansions:¶Two Hyperbolic Examples (2000) (11)
- Heat traces and existence of scattering resonances for bounded potentials (2014) (11)
- A Local Trace Formula for Anosov Flows (2017) (10)
- Magnetic Oscillations in a Model of Graphene (2018) (9)
- An example of new singularities in the semi-linear interaction of a cusp and a plane (1994) (9)
- A quantitative version of Catlin-D’Angelo–Quillen theorem (2012) (9)
- Distribution of resonances for convex co-compact hyperbolic surfaces (1997) (8)
- A local trace formula for Anosov flows (with an appendix by Fr\'ed\'eric Naud) (2014) (8)
- Analytic hypoellipticity of Keldysh operators (2020) (7)
- Decomposition of normal currents (1988) (7)
- Outgoing Solutions Via Gevrey-2 Properties (2020) (7)
- Semi-linear diffraction of conormal waves (1996) (7)
- Fine structure of flat bands in a chiral model of magic angles (2022) (7)
- Symmetry of Bound and Antibound States in the Semiclassical Limit (2007) (7)
- Resonances for Obstacles in Hyperbolic Space (2017) (7)
- A remark on inverse problems for resonances (2007) (6)
- Finite volume surfaces with resonances far from the unitarity axis (1993) (5)
- Integrability in the chiral model of magic angles (2022) (5)
- A Semiclassical Approach to the Kramers-Smoluchowski Equation (2017) (5)
- Singular part of the scattering matrix determines the obstacle (2001) (5)
- Commentary on “Differentiable dynamical systems” by Stephen Smale (2018) (5)
- Control theory and high energy eigenfunctions (2004) (4)
- Viscosity Limits for Zeroth‐Order Pseudodifferential Operators (2022) (4)
- A mathematical formulation of the Mahaux–Weidenmüller formula for the scattering matrix (2009) (4)
- Mathematics of internal waves in a 2D aquarium (2021) (4)
- Honeycomb structures in magnetic fields (2020) (4)
- Pointwise bounds on quasimodes of semiclassical Schrödinger operators in dimension two (2012) (4)
- Wave decay for star-shaped obstacles in ℝ3: papers of Morawetz and Ralston revisited (2017) (3)
- Resonance expansions in wave propagation (2000) (3)
- Geometric structure of NLS evolution (2008) (3)
- Correction and supplements to “Scattering matrices and scattering geodesics of locally symmetric spaces” (2002) (3)
- Shift of the shadow boundary in high frequency scattering (1991) (3)
- Control for Schr\"odinger equations on 2-tori: rough potentials (2013) (3)
- Ruelle zeta function at zero for surfaces (2017) (3)
- S attering Matrix in Conformal GeometryC (2010) (3)
- Remarks on Vasy’s operator with analytic coefficients (2018) (3)
- Sharp polynomial bounds on the number of Ruelle resonances (2012) (2)
- An introduction to microlocal complex deformations (2019) (2)
- Soliton scattering by delta impurities (2006) (2)
- ERRATUM TO \RESOLVENT ESTIMATES FOR NORMALLY HYPERBOLIC TRAPPED SETS", ANN. INST. HENRI POINCAR E (A), 12(7)(2011), 1349-1385. (2014) (2)
- ANTS XIII Proceedings of the Thirteenth Algorithmic Number Theory Symposium (2019) (2)
- Wave decay for star-shaped obstacles in $\mathbb{R}^3$: papers of Morawetz and Ralston revisited (2017) (2)
- Variation de la phase de diffusion et distribution des résonances (1999) (1)
- DENSITY OF RESONANCES FOR SCHOTTKY GROUPS (2002) (1)
- MACIEJ ZWORSKI ROUGH CONTROLS FOR SCHRÖDINGER OPERATORS ON 2 - (2019) (1)
- A Local Trace Formula for Anosov Flows (2016) (1)
- Counting Scattering Poles (2020) (1)
- The scattering phase: seen at last (2022) (1)
- ESTIMATES WITH APPLICATIONS TO COMPRESSED SENSING (2012) (1)
- Pseudospectra in automorphic scattering (2004) (0)
- Title Singular part of the scattering matrixdetermines the obstacle (0)
- ‘ Analysis of PDEs : unique continuation , stabilization , control and dispersive properties (2018) (0)
- Title Singular part of the scattering matrixdetermines the obstacle (0)
- STOCHASTIC OF POLLICOTT–RUELLE RESONANCES (2016) (0)
- Scattering matrix for asymptotically euclidean manifolds (1994) (0)
- Maciej Zworski : From redshift effect to classical dynamics : microlocal proof of Smale's conjecture. (2014) (0)
- Communications in Mathematical Physics Probabilistic Weyl Laws for Quantized (2010) (0)
- SCATTERING POLES FOR ASYMPTOTICALLY HYPERBOLIC MANIFOLDS (2016) (0)
- Fourier integral operators (2012) (0)
- Ruelle resonances for Anosov diffeomorphisms ( after Faure , Roy , and Sjöstrand ) (2008) (0)
- Title Growth of the zeta function for a quadratic map and the dimension of the Julia set Permalink (2004) (0)
- RESONANCE EXPANSIONS OF SCATTERED (0)
- SP ] 7 A ug 2 00 1 QUANTUM MONODROMY AND SEMI-CLASSICAL TRACE FORMULÆ (2008) (0)
- On the Representation of P0-Lattices Being P-Algebras (1985) (0)
- SEMICLASSICAL ESTIMATES IN ASYMPTOTICALLY EUCLIDEANSCATTERINGANDR (2000) (0)
- Fourier transform, stationary phase (2012) (0)
- Semiclassical defect measures (2012) (0)
- Eigenvalues and eigenfunctions (2012) (0)
- Symplectic geometry and analysis (2012) (0)
- COUNTING ZEROS OF ZETA FUNCTIONS IN TERMS OF FRACTAL DIMENSIONS (0)
- Decay of correlations for normally hyperbolic trapping (2014) (0)
- Magnetic Oscillations in a Model of Graphene (2019) (0)
- Outgoing Solutions Via Gevrey-2 Properties (2021) (0)
- Semilinear diffraction of conormal waves (joint work with Melrose and Sa Barreto) (1993) (0)
- ESTIMATES IN CHAOTIC SCATTERING (2009) (0)
- SCATTERING MATRICES AND SCATTERING GEODESICS OF LOCALLYSYMMETRIC (0)
- The FBI transform (2012) (0)
- A quantitative version of Catlin-D’Angelo–Quillen theorem (2012) (0)
- Microlocal Methods in Dynamical Systems (2016) (0)
- A Geometric Characterization of Solutions to The Algebraic Riccati Equation 1 Introduction (2006) (0)
- Estimates for solutions of PDE (2012) (0)
- DISTRIBUTION OF RESONANCES FOR ASYMPTOTICALLY EUCLIDEANMANIFOLDSJARED WUNSCH AND (2000) (0)
- Dirac points for twisted bilayer graphene with in-plane magnetic field (2023) (0)
- More on the symbol calculus (2012) (0)
- Bay Area Microlocal Analysis Seminar (2008) (0)
- Resonances for Obstacles in Hyperbolic Space (2017) (0)
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