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Author ID: zworski.maciej Recent zbMATH articles by "Zworski, Maciej"
Published as: Zworski, Maciej; Zworski, M.
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Serials

19 Communications in Mathematical Physics
7 Journal of Functional Analysis
7 Séminaire Équations aux Dérivées Partielles
5 Inventiones Mathematicae
5 Mathematical Research Letters
4 Nonlinearity
4 Annales de l’Institut Fourier
4 Annales Henri Poincaré
3 Communications on Pure and Applied Mathematics
3 Duke Mathematical Journal
3 Proceedings of the American Mathematical Society
3 IMRN. International Mathematics Research Notices
3 Communications in Partial Differential Equations
3 SIAM Journal on Mathematical Analysis
2 Acta Mathematica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Annals of Mathematics. Second Series
2 Graduate Studies in Mathematics
2 Journal of Spectral Theory
1 Helvetica Physica Acta
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Arkiv för Matematik
1 Canadian Journal of Mathematics
1 Demonstratio Mathematica
1 Journal of Differential Geometry
1 Osaka Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Asymptotic Analysis
1 Forum Mathematicum
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Physics A: Mathematical and General
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Notices of the American Mathematical Society
1 Journal of Nonlinear Science
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 The Asian Journal of Mathematics
1 Mathematical Proceedings of the Royal Irish Academy
1 Journal of the European Mathematical Society (JEMS)
1 AMRX. Applied Mathematics Research eXpress
1 Astérisque
1 Contemporary Mathematics
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Modern Dynamics
1 Analysis and Mathematical Physics
1 Bulletin of Mathematical Sciences
1 Annals of PDE
1 Pure and Applied Analysis
1 Annales Henri Lebesgue
1 Probability and Mathematical Physics

Publications by Year

Citations contained in zbMATH Open

115 Publications have been cited 2,551 times in 1,276 Documents Cited by Year
Semiclassical analysis. Zbl 1252.58001
Zworski, Maciej
269
2012
Scattering matrix in conformal geometry. Zbl 1030.58022
Graham, C. Robin; Zworski, Maciej
177
2003
Complex scaling and the distribution of scattering poles. Zbl 0752.35046
Sjöstrand, Johannes; Zworski, Maciej
101
1991
Mathematical theory of scattering resonances. Zbl 1454.58001
Dyatlov, Semyon; Zworski, Maciej
80
2019
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
73
2004
Distribution of poles for scattering on the real line. Zbl 0662.34033
Zworski, Maciej
68
1987
Quantum decay rates in chaotic scattering. Zbl 1226.35061
Nonnenmacher, Stéphane; Zworski, Maciej
50
2009
Scattering asymptotics for Riemann surfaces. Zbl 0898.58054
Guillopé, Laurent; Zworski, Maciej
49
1997
Scattering metrics and geodesic flow at infinity. Zbl 0855.58058
Melrose, Richard; Zworski, Maciej
46
1996
Dynamical zeta functions for Anosov flows via microlocal analysis. (Fonctions zêta dynamiques pour les flots d’Anosov en utilisant l’analyse microlocale.) Zbl 1369.37028
Dyatlov, Semyon; Zworski, Maciej
46
2016
Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035
Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej
45
2004
Fast soliton scattering by delta impurities. Zbl 1126.35068
Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej
44
2007
Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048
Zelditch, Steven; Zworski, Maciej
42
1996
Distribution of resonances for spherical black holes. Zbl 0883.35120
Sá Barreto, Antônio; Zworski, Maciej
42
1997
From quasimodes to resonances. Zbl 0913.35101
Tang, Siu-Hung; Zworski, Maciej
39
1998
Sharp polynomial bounds on the number of scattering poles. Zbl 0705.35099
Zworski, Maciej
38
1989
Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037
Dyatlov, Semyon; Zworski, Maciej
38
2015
Resonances in physics and geometry. Zbl 1177.58021
Zworski, Maciej
38
1999
The Selberg zeta function for convex co-compact Schottky groups. Zbl 1075.11059
Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej
36
2004
Resonance expansions of scattered waves. Zbl 1032.35148
Tang, Siu-Hung; Zworski, Maciej
35
2000
Semiclassical estimates in asymptotically Euclidean scattering. Zbl 0955.58023
Vasy, András; Zworski, Maciej
35
2000
Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189
Sjöstrand, Johannes; Zworski, Maciej
35
2007
Elementary linear algebra for advanced spectral problems. Zbl 1140.15009
Sjöstrand, Johannes; Zworski, Maciej
33
2007
Upper bounds on the number of resonances for non-compact Riemann surfaces. Zbl 0841.58063
Guillopé, Laurent; Zworski, Maciej
32
1995
Mathematical study of scattering resonances. Zbl 1368.35230
Zworski, Maciej
32
2017
Semiclassical \(L^p\) estimates. Zbl 1133.58025
Koch, Herbert; Tataru, Daniel; Zworski, Maciej
32
2007
Sharp polynomial bounds on the number of scattering poles of radial potentials. Zbl 0681.47002
Zworski, Maciej
31
1989
Resolvent estimates for normally hyperbolic trapped sets. Zbl 1228.81170
Wunsch, Jared; Zworski, Maciej
31
2011
Slow solution interaction with delta imperiums. Zbl 1137.35060
Holmer, Justin; Zworski, Maciej
31
2007
Semi-classical estimates on the scattering determinant. Zbl 1041.81041
Petkov, Vesselin; Zworski, Maciej
29
2001
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
28
2007
Lower bounds on the number of scattering poles. II. Zbl 0823.35137
Sjöstrand, Johannes; Zworski, Maciej
27
1994
Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity. Zbl 0859.58028
Guillopé, Laurent; Zworski, Maciej
25
1995
Lower bounds on the number of scattering poles. Zbl 0784.35070
Sjöstrand, Johannes; Zworski, Maciej
25
1993
Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033
Sjöstrand, Johannes; Zworski, Maciej
24
2002
Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208
Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej
24
2002
Decay of correlations for normally hyperbolic trapping. Zbl 1377.37049
Nonnenmacher, Stéphane; Zworski, Maciej
24
2015
Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Zbl 1016.58014
Zworski, Maciej
23
1999
Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099
Sjöstrand, Johannes; Zworski, Maciej
21
1999
Soliton interaction with slowly varying potentials. Zbl 1147.35084
Holmer, Justin; Zworski, Maciej
21
2008
Ruelle zeta function at zero for surfaces. Zbl 1382.58022
Dyatlov, Semyon; Zworski, Maciej
20
2017
Control for Schrödinger operators on tori. Zbl 1281.35011
Burq, Nicolas; Zworski, Maciej
20
2012
A remark on a paper of E. B. Davies. Zbl 0981.35107
Zworski, Maciej
20
2001
The wave trace for Riemann surfaces. Zbl 0947.58022
Guillopé, Laurent; Zworski, Maciej
19
1999
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
19
2001
Existence of resonances in potential scattering. Zbl 0877.35087
Sá Barreto, Antônio; Zworski, Maciej
19
1996
Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100
Dyatlov, Semyon; Zworski, Maciej
18
2013
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
18
2005
Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004
Petkov, Vesselin; Zworski, Maciej
18
1999
Counting scattering poles. Zbl 0823.35139
Zworski, M.
17
1994
The inverse spectral problem. Zbl 1061.58029
Zelditch, Steve
17
2004
Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012
Zworski, Maciej
17
2016
Numerical linear algebra and solvability of partial differential equations. Zbl 1021.35077
Zworski, Maciej
16
2002
Poisson formula for resonances in even dimensions. Zbl 0932.47004
Zworski, Maciej
15
1998
Spectral asymptotics for manifolds with cylindrical ends. Zbl 0818.58046
Christiansen, Tanya; Zworski, Maciej
15
1995
Distribution of resonances for open quantum maps. Zbl 1114.81043
Nonnenmacher, Stéphane; Zworski, Maciej
15
2007
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
14
2013
Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064
Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej
14
2003
Existence of resonances in three dimensions. Zbl 0835.35099
Sá Barreto, Antônio; Zworski, Maciej
14
1995
Distribution of resonances for asymptotically Euclidean manifolds. Zbl 1030.58024
Wunsch, Jared; Zworski, Maciej
14
2000
Semiclassical resolvent estimates in chaotic scattering. Zbl 1181.81055
Nonnenmacher, Stéphane; Zworski, Maciej
13
2009
The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095
Sjöstrand, Johannes; Zworski, Maciej
12
1995
Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072
Sjöstrand, Johannes
12
1996
Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046
Holmer, Justin; Perelman, Galina; Zworski, Maciej
10
2011
Resonances and lower resolvent bounds. Zbl 1326.35299
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
10
2015
Generic simplicity of resonances. Zbl 0844.47040
Klopp, Frédéric; Zworski, Maciej
9
1995
The FBI transform on compact \({\mathcal{C}^\infty}\) manifolds. Zbl 0974.35005
Wunsch, Jared; Zworski, Maciej
9
2001
Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
9
2014
Resonance wave expansions: Two hyperbolic examples. Zbl 0955.58024
Christiansen, T.; Zworski, M.
8
2000
A remark on isopolar potentials. Zbl 0988.34067
Zworski, Maciej
8
2001
High frequency scattering by a convex obstacle. Zbl 0732.35060
Zworski, Maciej
8
1990
Fractal Weyl laws in discrete models of chaotic scattering. Zbl 1082.81079
Nonnenmacher, Stéphane; Zworski, Maciej
8
2005
Distribution of scattering poles near the real axis. Zbl 0766.35031
Sjöstrand, Johannes; Zworski, Maciej
8
1992
Symmetry of bound and antibound states in the semiclassical limit. Zbl 1161.81430
Bindel, David; Zworski, Maciej
8
2007
Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
7
2014
Estimates on the number of scattering poles near the real axis for strictly convex obstacles. Zbl 0784.35073
Sjöstrand, J.; Zworski, M.
7
1993
Poisson formulae for resonances. Zbl 1255.35084
Zworski, Maciej
7
1997
Breathing patterns in nonlinear relaxation. Zbl 1173.35685
Holmer, Justin; Zworski, Maciej
7
2009
From open quantum systems to open quantum maps. Zbl 1223.81127
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
7
2011
Semi-linear diffraction of conormal waves. Zbl 0902.35004
Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej
7
1996
Microlocal analysis of forced waves. Zbl 1426.35013
Dyatlov, Semyon; Zworski, Maciej
7
2019
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
6
2012
Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089
Burq, Nicolas; Zworski, Maciej
6
2005
Scattering matrices and scattering geodesics of locally symmetric spaces. Zbl 1026.53026
Ji, Lizhen; Zworski, Maciej
6
2001
Quantum resonances and partial differential equations. Zbl 1136.35432
Zworski, M.
6
2002
Heat traces and existence of scattering resonances for bounded potentials. (La trace du noyau de la chaleur et l’existence de résonances de diffusion pour les potentiels bornés.) Zbl 1358.35077
Smith, Hart F.; Zworski, Maciej
6
2016
The remainder estimate in spectral accumulation for degenerating hyperbolic surfaces. Zbl 0783.58078
Ji, Lizhen; Zworski, Maciej
6
1993
Magnetic oscillations in a model of graphene. Zbl 1417.82035
Becker, Simon; Zworski, Maciej
5
2019
A quantitative version of Catlin-D’Angelo-Quillen theorem. Zbl 1270.32001
Drouot, Alexis; Zworski, Maciej
5
2013
Spacing between phase shifts in a simple scattering problem. Zbl 0946.47006
Zelditch, Steve; Zworski, Maciej
5
1999
Growth of the zeta function for a quadratic map and the dimension of the Julia set. Zbl 1066.37031
Strain, John; Zworski, Maciej
5
2004
A Fermi golden rule for quantum graphs. Zbl 1347.81046
Lee, Minjae; Zworski, Maciej
5
2016
Probabilistic Weyl laws for quantized tori. Zbl 1205.53092
Christiansen, T. J.; Zworski, M.
5
2010
Scattering resonances as viscosity limits. Zbl 1420.35081
Zworski, Maciej
4
2018
Resonances for obstacles in hyperbolic space. Zbl 1393.35138
Hintz, Peter; Zworski, Maciej
4
2018
Control theory and high energy eigenfunctions. Zbl 1064.35120
Burq, Nicolas; Zworski, Maciej
3
2004
A semiclassical approach to the Kramers-Smoluchowski equation. Zbl 1403.35299
Michel, Laurent; Zworski, Maciej
3
2018
Finite volume surfaces with resonances far from the unitarity axis. Zbl 0797.58016
Froese, Richard; Zworski, Maciej
3
1993
Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306
Burq, Nicolas; Zworski, Maciej
3
2019
Decomposition of normal currents. Zbl 0658.49019
Zworski, Maciej
2
1988
Analytic hypoellipticity of Keldysh operators. Zbl 1481.35100
Galkowski, Jeffrey; Zworski, Maciej
1
2021
Fractal uncertainty for transfer operators. Zbl 1442.42059
Dyatlov, Semyon; Zworski, Maciej
2
2020
Mathematical theory of scattering resonances. Zbl 1454.58001
Dyatlov, Semyon; Zworski, Maciej
80
2019
Microlocal analysis of forced waves. Zbl 1426.35013
Dyatlov, Semyon; Zworski, Maciej
7
2019
Magnetic oscillations in a model of graphene. Zbl 1417.82035
Becker, Simon; Zworski, Maciej
5
2019
Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306
Burq, Nicolas; Zworski, Maciej
3
2019
Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207
Lebeau, Gilles; Zworski, Maciej
1
2019
Scattering resonances as viscosity limits. Zbl 1420.35081
Zworski, Maciej
4
2018
Resonances for obstacles in hyperbolic space. Zbl 1393.35138
Hintz, Peter; Zworski, Maciej
4
2018
A semiclassical approach to the Kramers-Smoluchowski equation. Zbl 1403.35299
Michel, Laurent; Zworski, Maciej
3
2018
Commentary on “Differentiable dynamical systems” by Stephen Smale. Zbl 1390.37004
Zworski, Maciej
2
2018
Mathematical study of scattering resonances. Zbl 1368.35230
Zworski, Maciej
32
2017
Ruelle zeta function at zero for surfaces. Zbl 1382.58022
Dyatlov, Semyon; Zworski, Maciej
20
2017
Wave decay for star-shaped obstacles in \({\mathbb R}^3\): papers of Morawetz and Ralston revisited. Zbl 1393.35137
Hintz, Peter; Zworski, Maciej
2
2017
A local trace formula for Anosov flows. Zbl 1373.37088
Jin, Long; Zworski, Maciej
1
2017
Dynamical zeta functions for Anosov flows via microlocal analysis. (Fonctions zêta dynamiques pour les flots d’Anosov en utilisant l’analyse microlocale.) Zbl 1369.37028
Dyatlov, Semyon; Zworski, Maciej
46
2016
Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012
Zworski, Maciej
17
2016
Heat traces and existence of scattering resonances for bounded potentials. (La trace du noyau de la chaleur et l’existence de résonances de diffusion pour les potentiels bornés.) Zbl 1358.35077
Smith, Hart F.; Zworski, Maciej
6
2016
A Fermi golden rule for quantum graphs. Zbl 1347.81046
Lee, Minjae; Zworski, Maciej
5
2016
Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037
Dyatlov, Semyon; Zworski, Maciej
38
2015
Decay of correlations for normally hyperbolic trapping. Zbl 1377.37049
Nonnenmacher, Stéphane; Zworski, Maciej
24
2015
Resonances and lower resolvent bounds. Zbl 1326.35299
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
10
2015
Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
9
2014
Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
7
2014
Inverse problems and applications. Proceedings of two conferences in honour of Gunther Uhlmann’s 60th birthday, Irvine, CA, USA, June 18–22, 2012 and Hangzhou, China, September 17–21, 2012. Zbl 1290.35005
1
2014
Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100
Dyatlov, Semyon; Zworski, Maciej
18
2013
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
14
2013
A quantitative version of Catlin-D’Angelo-Quillen theorem. Zbl 1270.32001
Drouot, Alexis; Zworski, Maciej
5
2013
Pointwise bounds on quasimodes of semiclassical Schrödinger operators in dimension two. Zbl 1284.58009
Smith, Hart F.; Zworski, Maciej
2
2013
Semiclassical analysis. Zbl 1252.58001
Zworski, Maciej
269
2012
Control for Schrödinger operators on tori. Zbl 1281.35011
Burq, Nicolas; Zworski, Maciej
20
2012
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
6
2012
Resolvent estimates for normally hyperbolic trapped sets. Zbl 1228.81170
Wunsch, Jared; Zworski, Maciej
31
2011
Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046
Holmer, Justin; Perelman, Galina; Zworski, Maciej
10
2011
From open quantum systems to open quantum maps. Zbl 1223.81127
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
7
2011
Probabilistic Weyl laws for quantized tori. Zbl 1205.53092
Christiansen, T. J.; Zworski, M.
5
2010
Quantum decay rates in chaotic scattering. Zbl 1226.35061
Nonnenmacher, Stéphane; Zworski, Maciej
50
2009
Semiclassical resolvent estimates in chaotic scattering. Zbl 1181.81055
Nonnenmacher, Stéphane; Zworski, Maciej
13
2009
Breathing patterns in nonlinear relaxation. Zbl 1173.35685
Holmer, Justin; Zworski, Maciej
7
2009
A mathematical formulation of the Mahaux-Weidenmüller formula for the scattering matrix. Zbl 1179.81157
Christiansen, T. J.; Zworski, M.
1
2009
Soliton interaction with slowly varying potentials. Zbl 1147.35084
Holmer, Justin; Zworski, Maciej
21
2008
Fast soliton scattering by delta impurities. Zbl 1126.35068
Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej
44
2007
Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189
Sjöstrand, Johannes; Zworski, Maciej
35
2007
Elementary linear algebra for advanced spectral problems. Zbl 1140.15009
Sjöstrand, Johannes; Zworski, Maciej
33
2007
Semiclassical \(L^p\) estimates. Zbl 1133.58025
Koch, Herbert; Tataru, Daniel; Zworski, Maciej
32
2007
Slow solution interaction with delta imperiums. Zbl 1137.35060
Holmer, Justin; Zworski, Maciej
31
2007
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
28
2007
Distribution of resonances for open quantum maps. Zbl 1114.81043
Nonnenmacher, Stéphane; Zworski, Maciej
15
2007
Symmetry of bound and antibound states in the semiclassical limit. Zbl 1161.81430
Bindel, David; Zworski, Maciej
8
2007
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
18
2005
Fractal Weyl laws in discrete models of chaotic scattering. Zbl 1082.81079
Nonnenmacher, Stéphane; Zworski, Maciej
8
2005
Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089
Burq, Nicolas; Zworski, Maciej
6
2005
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
73
2004
Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035
Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej
45
2004
The Selberg zeta function for convex co-compact Schottky groups. Zbl 1075.11059
Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej
36
2004
The inverse spectral problem. Zbl 1061.58029
Zelditch, Steve
17
2004
Growth of the zeta function for a quadratic map and the dimension of the Julia set. Zbl 1066.37031
Strain, John; Zworski, Maciej
5
2004
Control theory and high energy eigenfunctions. Zbl 1064.35120
Burq, Nicolas; Zworski, Maciej
3
2004
Scattering matrix in conformal geometry. Zbl 1030.58022
Graham, C. Robin; Zworski, Maciej
177
2003
Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064
Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej
14
2003
Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033
Sjöstrand, Johannes; Zworski, Maciej
24
2002
Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208
Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej
24
2002
Numerical linear algebra and solvability of partial differential equations. Zbl 1021.35077
Zworski, Maciej
16
2002
Quantum resonances and partial differential equations. Zbl 1136.35432
Zworski, M.
6
2002
Semi-classical estimates on the scattering determinant. Zbl 1041.81041
Petkov, Vesselin; Zworski, Maciej
29
2001
A remark on a paper of E. B. Davies. Zbl 0981.35107
Zworski, Maciej
20
2001
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
19
2001
The FBI transform on compact \({\mathcal{C}^\infty}\) manifolds. Zbl 0974.35005
Wunsch, Jared; Zworski, Maciej
9
2001
A remark on isopolar potentials. Zbl 0988.34067
Zworski, Maciej
8
2001
Scattering matrices and scattering geodesics of locally symmetric spaces. Zbl 1026.53026
Ji, Lizhen; Zworski, Maciej
6
2001
Singular part of the scattering matrix determines the obstacle. Zbl 1181.35348
Zworski, Maciej
2
2001
Resonance expansions of scattered waves. Zbl 1032.35148
Tang, Siu-Hung; Zworski, Maciej
35
2000
Semiclassical estimates in asymptotically Euclidean scattering. Zbl 0955.58023
Vasy, András; Zworski, Maciej
35
2000
Distribution of resonances for asymptotically Euclidean manifolds. Zbl 1030.58024
Wunsch, Jared; Zworski, Maciej
14
2000
Resonance wave expansions: Two hyperbolic examples. Zbl 0955.58024
Christiansen, T.; Zworski, M.
8
2000
Erratum: “Breit-Wigner approximation and the distribution of resonances”. Zbl 1046.81551
Petkov, Vesselin; Zworski, Maciej
2
2000
Resonances in physics and geometry. Zbl 1177.58021
Zworski, Maciej
38
1999
Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Zbl 1016.58014
Zworski, Maciej
23
1999
Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099
Sjöstrand, Johannes; Zworski, Maciej
21
1999
The wave trace for Riemann surfaces. Zbl 0947.58022
Guillopé, Laurent; Zworski, Maciej
19
1999
Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004
Petkov, Vesselin; Zworski, Maciej
18
1999
Spacing between phase shifts in a simple scattering problem. Zbl 0946.47006
Zelditch, Steve; Zworski, Maciej
5
1999
Resonant rigidity of \(S^2\). Zbl 0954.35125
Hassell, Andrew; Zworski, Maciej
2
1999
From quasimodes to resonances. Zbl 0913.35101
Tang, Siu-Hung; Zworski, Maciej
39
1998
Poisson formula for resonances in even dimensions. Zbl 0932.47004
Zworski, Maciej
15
1998
Scattering asymptotics for Riemann surfaces. Zbl 0898.58054
Guillopé, Laurent; Zworski, Maciej
49
1997
Distribution of resonances for spherical black holes. Zbl 0883.35120
Sá Barreto, Antônio; Zworski, Maciej
42
1997
Poisson formulae for resonances. Zbl 1255.35084
Zworski, Maciej
7
1997
Scattering metrics and geodesic flow at infinity. Zbl 0855.58058
Melrose, Richard; Zworski, Maciej
46
1996
Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048
Zelditch, Steven; Zworski, Maciej
42
1996
Existence of resonances in potential scattering. Zbl 0877.35087
Sá Barreto, Antônio; Zworski, Maciej
19
1996
Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072
Sjöstrand, Johannes
12
1996
Semi-linear diffraction of conormal waves. Zbl 0902.35004
Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej
7
1996
Harmonic functions of polynomial growth on certain complete manifolds. Zbl 0881.58018
Christiansen, T.; Zworski, M.
2
1996
Upper bounds on the number of resonances for non-compact Riemann surfaces. Zbl 0841.58063
Guillopé, Laurent; Zworski, Maciej
32
1995
Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity. Zbl 0859.58028
Guillopé, Laurent; Zworski, Maciej
25
1995
Spectral asymptotics for manifolds with cylindrical ends. Zbl 0818.58046
Christiansen, Tanya; Zworski, Maciej
15
1995
Existence of resonances in three dimensions. Zbl 0835.35099
Sá Barreto, Antônio; Zworski, Maciej
14
1995
The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095
Sjöstrand, Johannes; Zworski, Maciej
12
1995
Generic simplicity of resonances. Zbl 0844.47040
Klopp, Frédéric; Zworski, Maciej
9
1995
...and 15 more Documents
all top 5

Cited by 1,114 Authors

49 Zworski, Maciej
34 Vasy, András
29 Sjöstrand, Johannes
28 Guillarmou, Colin
25 Hassell, Andrew
23 Dyatlov, Semyon
22 Galkowski, Jeffrey
21 Korotyaev, Evgeny L.
20 Gover, Ashwin Rod
19 Wunsch, Jared
18 Vodev, Georgi
17 Zelditch, Steve
16 Burq, Nicolas
16 Rivière, Gabriel
15 Sá Barreto, Antônio
14 Bony, Jean-François
14 Datchev, Kiril R.
13 Christiansen, Tanya J.
13 Toth, John Andrew
12 Christianson, Hans
11 Iantchenko, Alexei
11 Stefanov, Plamen D.
11 Weich, Tobias
10 Macià, Fabricio
10 Marzuola, Jeremy L.
10 Nonnenmacher, Stéphane
10 Sire, Yannick
10 Spence, Euan A.
10 Vögel, Martin
9 Drouot, Alexis
9 Fujiié, Setsuro
9 González, María del Mar
9 Jin, Long
9 Tacy, Melissa
8 Borthwick, David
8 Hitrik, Michael
8 Naud, Frédéric
8 Petkov, Vesselin M.
8 Ramond, Thierry
8 Royer, Julien
8 Vũ Ngọc, San
7 Bruneau, Vincent
7 Case, Jeffrey S.
7 Chang, Sun-Yung Alice
7 Chtioui, Hichem
7 Hezari, Hamid
7 Hintz, Peter
7 Jakobson, Dmitry
7 Kim, Seunghyeok
7 Perry, Peter A.
7 Pravda-Starov, Karel
7 Sogge, Christopher D.
7 Xiong, Jingang
6 Canzani, Yaiza
6 Dimassi, Mouez
6 Faure, Frédéric
6 Gannot, Oran
6 Häfner, Dietrich
6 Ingremeau, Maxime
6 Isozaki, Hiroshi
6 Juhl, Andreas
6 Laurent, Camille
6 Léautaud, Matthieu
6 Muñoz, Claudio
6 Nier, Francis
6 Uhlmann, Gunther Alberto
6 Zerzeri, Maher
6 Zuazua, Enrique
5 Angulo Pava, Jaime
5 Bonthonneau, Yannick Guedes
5 Bouclet, Jean-Marc
5 Carles, Rémi
5 Cuccagna, Scipio
5 Eswarathasan, Suresh
5 Fermanian-Kammerer, Clotilde
5 Gell-Redman, Jesse
5 Hager, Mildred
5 Helffer, Bernard
5 Hilgert, Joachim
5 Hillairet, Luc
5 Holmer, Justin
5 Jin, Tianling
5 Joshi, Mark S.
5 Lassas, Matti J.
5 Maeda, Masaya
5 Michel, Laurent
5 Pohl, Anke D.
5 Salo, Mikko
5 Shen, Shu
5 Simon, Barry
5 Smith, Hart F.
5 Thomann, Laurent
5 Tohaneanu, Mihai
5 Trélat, Emmanuel
5 Weinstein, Michael I.
5 Zhang, Junyong
4 Abdelhedi, Wael
4 Alexandrova, Ivana
4 Anantharaman, Nalini
4 Bandtlow, Oscar F.
...and 1,014 more Authors
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Cited in 209 Serials

112 Communications in Mathematical Physics
75 Journal of Functional Analysis
69 Communications in Partial Differential Equations
60 Annales Henri Poincaré
43 Journal of Mathematical Physics
38 Journal of Differential Equations
34 Annales de l’Institut Fourier
33 Advances in Mathematics
30 Duke Mathematical Journal
29 Journal of Spectral Theory
26 The Journal of Geometric Analysis
25 Transactions of the American Mathematical Society
23 Proceedings of the American Mathematical Society
21 SIAM Journal on Mathematical Analysis
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Letters in Mathematical Physics
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Inventiones Mathematicae
14 Journal of Mathematical Analysis and Applications
14 Mathematische Annalen
13 Reviews in Mathematical Physics
12 Journal of the European Mathematical Society (JEMS)
11 Nonlinearity
11 Calculus of Variations and Partial Differential Equations
10 Archive for Rational Mechanics and Analysis
10 Geometric and Functional Analysis. GAFA
10 Journal of High Energy Physics
9 Journal d’Analyse Mathématique
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Journal of the American Mathematical Society
9 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Journal of Computational Physics
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Annals of Mathematics. Second Series
8 Communications in Contemporary Mathematics
8 Journal of the Institute of Mathematics of Jussieu
8 Analysis & PDE
8 Séminaire Laurent Schwartz. EDP et Applications
8 Pure and Applied Analysis
7 Journal für die Reine und Angewandte Mathematik
7 Annales Henri Lebesgue
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Physica D
6 Bulletin of the American Mathematical Society. New Series
6 Discrete and Continuous Dynamical Systems
6 Journal of Hyperbolic Differential Equations
5 Inverse Problems
5 Journal of Statistical Physics
5 Acta Mathematica
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Mathematische Nachrichten
5 Mathematische Zeitschrift
5 Numerische Mathematik
5 Ergodic Theory and Dynamical Systems
5 Asymptotic Analysis
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 The Journal of Fourier Analysis and Applications
5 Complex Variables and Elliptic Equations
4 Communications on Pure and Applied Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Integral Equations and Operator Theory
4 SIAM Journal on Control and Optimization
4 Chinese Annals of Mathematics. Series B
4 Annals of Global Analysis and Geometry
4 Revista Matemática Iberoamericana
4 Differential Geometry and its Applications
4 Indagationes Mathematicae. New Series
4 Russian Journal of Mathematical Physics
4 Applied and Computational Harmonic Analysis
4 Inverse Problems and Imaging
4 Bulletin of Mathematical Sciences
4 Journal de l’École Polytechnique – Mathématiques
3 Israel Journal of Mathematics
3 Arkiv för Matematik
3 Journal of Geometry and Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Functional Analysis and its Applications
3 Journal of Computational and Applied Mathematics
3 Memoirs of the American Mathematical Society
3 Proceedings of the London Mathematical Society. Third Series
3 Acta Applicandae Mathematicae
3 SIAM Journal on Applied Mathematics
3 St. Petersburg Mathematical Journal
3 Selecta Mathematica. New Series
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Chaos
3 Communications on Pure and Applied Analysis
3 Journal of Pseudo-Differential Operators and Applications
3 Analysis and Mathematical Physics
3 Annales Mathématiques du Québec
3 Annals of PDE
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Applicable Analysis
2 Classical and Quantum Gravity
2 Reports on Mathematical Physics
2 Mathematics of Computation
2 American Journal of Mathematics
2 Indiana University Mathematics Journal
2 Publications Mathématiques
2 Journal of the Mathematical Society of Japan
...and 109 more Serials
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Cited in 56 Fields

834 Partial differential equations (35-XX)
347 Quantum theory (81-XX)
346 Global analysis, analysis on manifolds (58-XX)
245 Operator theory (47-XX)
166 Differential geometry (53-XX)
155 Dynamical systems and ergodic theory (37-XX)
72 Relativity and gravitational theory (83-XX)
66 Ordinary differential equations (34-XX)
45 Systems theory; control (93-XX)
44 Number theory (11-XX)
44 Numerical analysis (65-XX)
34 Functional analysis (46-XX)
33 Optics, electromagnetic theory (78-XX)
30 Statistical mechanics, structure of matter (82-XX)
28 Several complex variables and analytic spaces (32-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
25 Probability theory and stochastic processes (60-XX)
20 Fluid mechanics (76-XX)
19 Mechanics of deformable solids (74-XX)
16 Functions of a complex variable (30-XX)
16 Mechanics of particles and systems (70-XX)
13 Special functions (33-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
12 Topological groups, Lie groups (22-XX)
12 Manifolds and cell complexes (57-XX)
11 Algebraic geometry (14-XX)
11 Measure and integration (28-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Combinatorics (05-XX)
9 Integral transforms, operational calculus (44-XX)
8 Potential theory (31-XX)
7 Abstract harmonic analysis (43-XX)
6 Information and communication theory, circuits (94-XX)
5 Approximations and expansions (41-XX)
5 Geometry (51-XX)
4 History and biography (01-XX)
4 Group theory and generalizations (20-XX)
4 Difference and functional equations (39-XX)
4 Astronomy and astrophysics (85-XX)
3 Commutative algebra (13-XX)
3 Real functions (26-XX)
3 Integral equations (45-XX)
3 General topology (54-XX)
3 Geophysics (86-XX)
2 Field theory and polynomials (12-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 \(K\)-theory (19-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Operations research, mathematical programming (90-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Category theory; homological algebra (18-XX)
1 Algebraic topology (55-XX)
1 Computer science (68-XX)

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