## Zworski, Maciej

Compute Distance To:
 Author ID: zworski.maciej Published as: Zworski, Maciej; Zworski, M. External Links: MGP · Wikidata · GND · IdRef · theses.fr
 Documents Indexed: 123 Publications since 1985, including 3 Books 1 Contribution as Editor · 3 Further Contributions Co-Authors: 45 Co-Authors with 102 Joint Publications 1,018 Co-Co-Authors
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### Co-Authors

 25 single-authored 17 Sjöstrand, Johannes 10 Dyatlov, Semyon 9 Burq, Nicolas 8 Nonnenmacher, Stéphane 6 Christiansen, Tanya J. 6 Holmer, Justin 5 Guillopé, Laurent 5 Sá Barreto, Antônio 4 Melrose, Richard Burt 4 Petkov, Vesselin M. 3 Wunsch, Jared 3 Zelditch, Steve 2 Becker, Simon 2 Datchev, Kiril R. 2 Galkowski, Jeffrey 2 Hintz, Peter 2 Ji, Lizhen 2 Marzuola, Jeremy L. 2 Smith, Hart F. 2 Stefanov, Plamen D. 2 Tang, Siuhung 2 Vasy, András 1 Bindel, David S. 1 Bourgain, Jean 1 Dencker, Nils 1 Drouot, Alexis 1 Embree, Mark 1 Froese, Richard 1 Graham, C. Robin 1 Hassell, Andrew 1 Iantchenko, Alexai 1 Jin, Long 1 Klopp, Frédéric 1 Klukowski, Julian 1 Koch, Herbert 1 Lebeau, Gilles 1 Lee, Minjae 1 Lin, Kevin K. 1 Michel, Laurent 1 Nakamura, Shu 1 Perelman, Galina 1 Strain, John A. 1 Tataru, Daniel 1 Ward, Rachel A. 1 Wittsten, Jens
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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
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### Fields

 83 Partial differential equations (35-XX) 48 Global analysis, analysis on manifolds (58-XX) 39 Quantum theory (81-XX) 27 Operator theory (47-XX) 23 Dynamical systems and ergodic theory (37-XX) 7 Differential geometry (53-XX) 6 Number theory (11-XX) 6 Ordinary differential equations (34-XX) 4 Functions of a complex variable (30-XX) 4 Relativity and gravitational theory (83-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

115 Publications have been cited 2,560 times in 1,284 Documents Cited by Year
Semiclassical analysis. Zbl 1252.58001
Zworski, Maciej
2012
Scattering matrix in conformal geometry. Zbl 1030.58022
Graham, C. Robin; Zworski, Maciej
2003
Complex scaling and the distribution of scattering poles. Zbl 0752.35046
Sjöstrand, Johannes; Zworski, Maciej
1991
Mathematical theory of scattering resonances. Zbl 1454.58001
Dyatlov, Semyon; Zworski, Maciej
2019
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
2004
Distribution of poles for scattering on the real line. Zbl 0662.34033
Zworski, Maciej
1987
Quantum decay rates in chaotic scattering. Zbl 1226.35061
Nonnenmacher, Stéphane; Zworski, Maciej
2009
Scattering asymptotics for Riemann surfaces. Zbl 0898.58054
Guillopé, Laurent; Zworski, Maciej
1997
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
2016
Scattering metrics and geodesic flow at infinity. Zbl 0855.58058
Melrose, Richard; Zworski, Maciej
1996
Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035
Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej
2004
Fast soliton scattering by delta impurities. Zbl 1126.35068
Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej
2007
Distribution of resonances for spherical black holes. Zbl 0883.35120
Sá Barreto, Antônio; Zworski, Maciej
1997
Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048
Zelditch, Steven; Zworski, Maciej
1996
From quasimodes to resonances. Zbl 0913.35101
Tang, Siu-Hung; Zworski, Maciej
1998
Sharp polynomial bounds on the number of scattering poles. Zbl 0705.35099
Zworski, Maciej
1989
Resonances in physics and geometry. Zbl 1177.58021
Zworski, Maciej
1999
Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037
Dyatlov, Semyon; Zworski, Maciej
2015
The Selberg zeta function for convex co-compact Schottky groups. Zbl 1075.11059
Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej
2004
Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189
Sjöstrand, Johannes; Zworski, Maciej
2007
Semiclassical estimates in asymptotically Euclidean scattering. Zbl 0955.58023
Vasy, András; Zworski, Maciej
2000
Resonance expansions of scattered waves. Zbl 1032.35148
Tang, Siu-Hung; Zworski, Maciej
2000
Elementary linear algebra for advanced spectral problems. Zbl 1140.15009
Sjöstrand, Johannes; Zworski, Maciej
2007
Mathematical study of scattering resonances. Zbl 1368.35230
Zworski, Maciej
2017
Semiclassical $$L^p$$ estimates. Zbl 1133.58025
Koch, Herbert; Tataru, Daniel; Zworski, Maciej
2007
Upper bounds on the number of resonances for non-compact Riemann surfaces. Zbl 0841.58063
Guillopé, Laurent; Zworski, Maciej
1995
Sharp polynomial bounds on the number of scattering poles of radial potentials. Zbl 0681.47002
Zworski, Maciej
1989
Slow solution interaction with delta imperiums. Zbl 1137.35060
Holmer, Justin; Zworski, Maciej
2007
Resolvent estimates for normally hyperbolic trapped sets. Zbl 1228.81170
Wunsch, Jared; Zworski, Maciej
2011
Semi-classical estimates on the scattering determinant. Zbl 1041.81041
Petkov, Vesselin; Zworski, Maciej
2001
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
2007
Lower bounds on the number of scattering poles. II. Zbl 0823.35137
Sjöstrand, Johannes; Zworski, Maciej
1994
Lower bounds on the number of scattering poles. Zbl 0784.35070
Sjöstrand, Johannes; Zworski, Maciej
1993
Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity. Zbl 0859.58028
Guillopé, Laurent; Zworski, Maciej
1995
Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208
Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej
2002
Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033
Sjöstrand, Johannes; Zworski, Maciej
2002
Decay of correlations for normally hyperbolic trapping. Zbl 1377.37049
Nonnenmacher, Stéphane; Zworski, Maciej
2015
Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Zbl 1016.58014
Zworski, Maciej
1999
Soliton interaction with slowly varying potentials. Zbl 1147.35084
Holmer, Justin; Zworski, Maciej
2008
Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099
Sjöstrand, Johannes; Zworski, Maciej
1999
A remark on a paper of E. B. Davies. Zbl 0981.35107
Zworski, Maciej
2001
Control for Schrödinger operators on tori. Zbl 1281.35011
Burq, Nicolas; Zworski, Maciej
2012
Ruelle zeta function at zero for surfaces. Zbl 1382.58022
Dyatlov, Semyon; Zworski, Maciej
2017
The wave trace for Riemann surfaces. Zbl 0947.58022
Guillopé, Laurent; Zworski, Maciej
1999
Existence of resonances in potential scattering. Zbl 0877.35087
Sá Barreto, Antônio; Zworski, Maciej
1996
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
2001
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
2005
Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004
Petkov, Vesselin; Zworski, Maciej
1999
Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100
Dyatlov, Semyon; Zworski, Maciej
2013
The inverse spectral problem. Zbl 1061.58029
Zelditch, Steve
2004
Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012
Zworski, Maciej
2016
Counting scattering poles. Zbl 0823.35139
Zworski, M.
1994
Numerical linear algebra and solvability of partial differential equations. Zbl 1021.35077
Zworski, Maciej
2002
Distribution of resonances for open quantum maps. Zbl 1114.81043
Nonnenmacher, Stéphane; Zworski, Maciej
2007
Poisson formula for resonances in even dimensions. Zbl 0932.47004
Zworski, Maciej
1998
Spectral asymptotics for manifolds with cylindrical ends. Zbl 0818.58046
Christiansen, Tanya; Zworski, Maciej
1995
Distribution of resonances for asymptotically Euclidean manifolds. Zbl 1030.58024
Wunsch, Jared; Zworski, Maciej
2000
Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064
Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej
2003
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
2013
Existence of resonances in three dimensions. Zbl 0835.35099
Sá Barreto, Antônio; Zworski, Maciej
1995
Semiclassical resolvent estimates in chaotic scattering. Zbl 1181.81055
Nonnenmacher, Stéphane; Zworski, Maciej
2009
Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072
Sjöstrand, Johannes
1996
The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095
Sjöstrand, Johannes; Zworski, Maciej
1995
Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046
Holmer, Justin; Perelman, Galina; Zworski, Maciej
2011
Resonances and lower resolvent bounds. Zbl 1326.35299
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
2015
Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
2014
The FBI transform on compact $${\mathcal{C}^\infty}$$ manifolds. Zbl 0974.35005
Wunsch, Jared; Zworski, Maciej
2001
Generic simplicity of resonances. Zbl 0844.47040
Klopp, Frédéric; Zworski, Maciej
1995
High frequency scattering by a convex obstacle. Zbl 0732.35060
Zworski, Maciej
1990
Resonance wave expansions: Two hyperbolic examples. Zbl 0955.58024
Christiansen, T.; Zworski, M.
2000
A remark on isopolar potentials. Zbl 0988.34067
Zworski, Maciej
2001
Symmetry of bound and antibound states in the semiclassical limit. Zbl 1161.81430
Bindel, David; Zworski, Maciej
2007
Fractal Weyl laws in discrete models of chaotic scattering. Zbl 1082.81079
Nonnenmacher, Stéphane; Zworski, Maciej
2005
Distribution of scattering poles near the real axis. Zbl 0766.35031
Sjöstrand, Johannes; Zworski, Maciej
1992
Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2014
Poisson formulae for resonances. Zbl 1255.35084
Zworski, Maciej
1997
Semi-linear diffraction of conormal waves. Zbl 0902.35004
Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej
1996
Breathing patterns in nonlinear relaxation. Zbl 1173.35685
Holmer, Justin; Zworski, Maciej
2009
From open quantum systems to open quantum maps. Zbl 1223.81127
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2011
Microlocal analysis of forced waves. Zbl 1426.35013
Dyatlov, Semyon; Zworski, Maciej
2019
Estimates on the number of scattering poles near the real axis for strictly convex obstacles. Zbl 0784.35073
Sjöstrand, J.; Zworski, M.
1993
Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089
Burq, Nicolas; Zworski, Maciej
2005
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
2016
Scattering matrices and scattering geodesics of locally symmetric spaces. Zbl 1026.53026
Ji, Lizhen; Zworski, Maciej
2001
Quantum resonances and partial differential equations. Zbl 1136.35432
Zworski, M.
2002
The remainder estimate in spectral accumulation for degenerating hyperbolic surfaces. Zbl 0783.58078
Ji, Lizhen; Zworski, Maciej
1993
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
2012
A Fermi golden rule for quantum graphs. Zbl 1347.81046
Lee, Minjae; Zworski, Maciej
2016
Growth of the zeta function for a quadratic map and the dimension of the Julia set. Zbl 1066.37031
Strain, John; Zworski, Maciej
2004
Spacing between phase shifts in a simple scattering problem. Zbl 0946.47006
Zelditch, Steve; Zworski, Maciej
1999
Probabilistic Weyl laws for quantized tori. Zbl 1205.53092
Christiansen, T. J.; Zworski, M.
2010
Magnetic oscillations in a model of graphene. Zbl 1417.82035
Becker, Simon; Zworski, Maciej
2019
A quantitative version of Catlin-D’Angelo-Quillen theorem. Zbl 1270.32001
Drouot, Alexis; Zworski, Maciej
2013
Scattering resonances as viscosity limits. Zbl 1420.35081
Zworski, Maciej
2018
Resonances for obstacles in hyperbolic space. Zbl 1393.35138
Hintz, Peter; Zworski, Maciej
2018
Control theory and high energy eigenfunctions. Zbl 1064.35120
Burq, Nicolas; Zworski, Maciej
2004
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
2019
A semiclassical approach to the Kramers-Smoluchowski equation. Zbl 1403.35299
Michel, Laurent; Zworski, Maciej
2018
Finite volume surfaces with resonances far from the unitarity axis. Zbl 0797.58016
Froese, Richard; Zworski, Maciej
1993
Decomposition of normal currents. Zbl 0658.49019
Zworski, Maciej
1988
Analytic hypoellipticity of Keldysh operators. Zbl 1481.35100
Galkowski, Jeffrey; Zworski, Maciej
2021
Fractal uncertainty for transfer operators. Zbl 1442.42059
Dyatlov, Semyon; Zworski, Maciej
2020
Mathematical theory of scattering resonances. Zbl 1454.58001
Dyatlov, Semyon; Zworski, Maciej
2019
Microlocal analysis of forced waves. Zbl 1426.35013
Dyatlov, Semyon; Zworski, Maciej
2019
Magnetic oscillations in a model of graphene. Zbl 1417.82035
Becker, Simon; Zworski, Maciej
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
2019
Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207
Lebeau, Gilles; Zworski, Maciej
2019
Scattering resonances as viscosity limits. Zbl 1420.35081
Zworski, Maciej
2018
Resonances for obstacles in hyperbolic space. Zbl 1393.35138
Hintz, Peter; Zworski, Maciej
2018
A semiclassical approach to the Kramers-Smoluchowski equation. Zbl 1403.35299
Michel, Laurent; Zworski, Maciej
2018
Commentary on “Differentiable dynamical systems” by Stephen Smale. Zbl 1390.37004
Zworski, Maciej
2018
Mathematical study of scattering resonances. Zbl 1368.35230
Zworski, Maciej
2017
Ruelle zeta function at zero for surfaces. Zbl 1382.58022
Dyatlov, Semyon; Zworski, Maciej
2017
Wave decay for star-shaped obstacles in $${\mathbb R}^3$$: papers of Morawetz and Ralston revisited. Zbl 1393.35137
Hintz, Peter; Zworski, Maciej
2017
A local trace formula for Anosov flows. Zbl 1373.37088
Jin, Long; Zworski, Maciej
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
2016
Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012
Zworski, Maciej
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
2016
A Fermi golden rule for quantum graphs. Zbl 1347.81046
Lee, Minjae; Zworski, Maciej
2016
Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037
Dyatlov, Semyon; Zworski, Maciej
2015
Decay of correlations for normally hyperbolic trapping. Zbl 1377.37049
Nonnenmacher, Stéphane; Zworski, Maciej
2015
Resonances and lower resolvent bounds. Zbl 1326.35299
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
2015
Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej
2014
Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
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
2014
Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100
Dyatlov, Semyon; Zworski, Maciej
2013
Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016
Bourgain, Jean; Burq, Nicolas; Zworski, Maciej
2013
A quantitative version of Catlin-D’Angelo-Quillen theorem. Zbl 1270.32001
Drouot, Alexis; Zworski, Maciej
2013
Pointwise bounds on quasimodes of semiclassical Schrödinger operators in dimension two. Zbl 1284.58009
Smith, Hart F.; Zworski, Maciej
2013
Semiclassical analysis. Zbl 1252.58001
Zworski, Maciej
2012
Control for Schrödinger operators on tori. Zbl 1281.35011
Burq, Nicolas; Zworski, Maciej
2012
Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004
Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej
2012
Resolvent estimates for normally hyperbolic trapped sets. Zbl 1228.81170
Wunsch, Jared; Zworski, Maciej
2011
Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046
Holmer, Justin; Perelman, Galina; Zworski, Maciej
2011
From open quantum systems to open quantum maps. Zbl 1223.81127
Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej
2011
Probabilistic Weyl laws for quantized tori. Zbl 1205.53092
Christiansen, T. J.; Zworski, M.
2010
Quantum decay rates in chaotic scattering. Zbl 1226.35061
Nonnenmacher, Stéphane; Zworski, Maciej
2009
Semiclassical resolvent estimates in chaotic scattering. Zbl 1181.81055
Nonnenmacher, Stéphane; Zworski, Maciej
2009
Breathing patterns in nonlinear relaxation. Zbl 1173.35685
Holmer, Justin; Zworski, Maciej
2009
A mathematical formulation of the Mahaux-Weidenmüller formula for the scattering matrix. Zbl 1179.81157
Christiansen, T. J.; Zworski, M.
2009
Soliton interaction with slowly varying potentials. Zbl 1147.35084
Holmer, Justin; Zworski, Maciej
2008
Fast soliton scattering by delta impurities. Zbl 1126.35068
Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej
2007
Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189
Sjöstrand, Johannes; Zworski, Maciej
2007
Elementary linear algebra for advanced spectral problems. Zbl 1140.15009
Sjöstrand, Johannes; Zworski, Maciej
2007
Semiclassical $$L^p$$ estimates. Zbl 1133.58025
Koch, Herbert; Tataru, Daniel; Zworski, Maciej
2007
Slow solution interaction with delta imperiums. Zbl 1137.35060
Holmer, Justin; Zworski, Maciej
2007
Soliton splitting by external delta potentials. Zbl 1128.35384
Holmer, J.; Marzuola, J.; Zworski, M.
2007
Distribution of resonances for open quantum maps. Zbl 1114.81043
Nonnenmacher, Stéphane; Zworski, Maciej
2007
Symmetry of bound and antibound states in the semiclassical limit. Zbl 1161.81430
Bindel, David; Zworski, Maciej
2007
Bouncing ball modes and quantum chaos. Zbl 1072.81022
Burq, Nicolas; Zworski, Maciej
2005
Fractal Weyl laws in discrete models of chaotic scattering. Zbl 1082.81079
Nonnenmacher, Stéphane; Zworski, Maciej
2005
Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089
Burq, Nicolas; Zworski, Maciej
2005
Geometric control in the presence of a black box. Zbl 1050.35058
Burq, Nicolas; Zworski, Maciej
2004
Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035
Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej
2004
The Selberg zeta function for convex co-compact Schottky groups. Zbl 1075.11059
Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej
2004
The inverse spectral problem. Zbl 1061.58029
Zelditch, Steve
2004
Growth of the zeta function for a quadratic map and the dimension of the Julia set. Zbl 1066.37031
Strain, John; Zworski, Maciej
2004
Control theory and high energy eigenfunctions. Zbl 1064.35120
Burq, Nicolas; Zworski, Maciej
2004
Scattering matrix in conformal geometry. Zbl 1030.58022
Graham, C. Robin; Zworski, Maciej
2003
Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064
Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej
2003
Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208
Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej
2002
Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033
Sjöstrand, Johannes; Zworski, Maciej
2002
Numerical linear algebra and solvability of partial differential equations. Zbl 1021.35077
Zworski, Maciej
2002
Quantum resonances and partial differential equations. Zbl 1136.35432
Zworski, M.
2002
Semi-classical estimates on the scattering determinant. Zbl 1041.81041
Petkov, Vesselin; Zworski, Maciej
2001
A remark on a paper of E. B. Davies. Zbl 0981.35107
Zworski, Maciej
2001
Resonance expansions in semi-classical propagation. Zbl 1042.81582
Burq, Nicolas; Zworski, Maciej
2001
The FBI transform on compact $${\mathcal{C}^\infty}$$ manifolds. Zbl 0974.35005
Wunsch, Jared; Zworski, Maciej
2001
A remark on isopolar potentials. Zbl 0988.34067
Zworski, Maciej
2001
Scattering matrices and scattering geodesics of locally symmetric spaces. Zbl 1026.53026
Ji, Lizhen; Zworski, Maciej
2001
Singular part of the scattering matrix determines the obstacle. Zbl 1181.35348
Zworski, Maciej
2001
Semiclassical estimates in asymptotically Euclidean scattering. Zbl 0955.58023
Vasy, András; Zworski, Maciej
2000
Resonance expansions of scattered waves. Zbl 1032.35148
Tang, Siu-Hung; Zworski, Maciej
2000
Distribution of resonances for asymptotically Euclidean manifolds. Zbl 1030.58024
Wunsch, Jared; Zworski, Maciej
2000
Resonance wave expansions: Two hyperbolic examples. Zbl 0955.58024
Christiansen, T.; Zworski, M.
2000
Erratum: “Breit-Wigner approximation and the distribution of resonances”. Zbl 1046.81551
Petkov, Vesselin; Zworski, Maciej
2000
Resonances in physics and geometry. Zbl 1177.58021
Zworski, Maciej
1999
Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Zbl 1016.58014
Zworski, Maciej
1999
Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099
Sjöstrand, Johannes; Zworski, Maciej
1999
The wave trace for Riemann surfaces. Zbl 0947.58022
Guillopé, Laurent; Zworski, Maciej
1999
Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004
Petkov, Vesselin; Zworski, Maciej
1999
Spacing between phase shifts in a simple scattering problem. Zbl 0946.47006
Zelditch, Steve; Zworski, Maciej
1999
Resonant rigidity of $$S^2$$. Zbl 0954.35125
Hassell, Andrew; Zworski, Maciej
1999
From quasimodes to resonances. Zbl 0913.35101
Tang, Siu-Hung; Zworski, Maciej
1998
Poisson formula for resonances in even dimensions. Zbl 0932.47004
Zworski, Maciej
1998
Scattering asymptotics for Riemann surfaces. Zbl 0898.58054
Guillopé, Laurent; Zworski, Maciej
1997
Distribution of resonances for spherical black holes. Zbl 0883.35120
Sá Barreto, Antônio; Zworski, Maciej
1997
Poisson formulae for resonances. Zbl 1255.35084
Zworski, Maciej
1997
Scattering metrics and geodesic flow at infinity. Zbl 0855.58058
Melrose, Richard; Zworski, Maciej
1996
Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048
Zelditch, Steven; Zworski, Maciej
1996
Existence of resonances in potential scattering. Zbl 0877.35087
Sá Barreto, Antônio; Zworski, Maciej
1996
Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072
Sjöstrand, Johannes
1996
Semi-linear diffraction of conormal waves. Zbl 0902.35004
Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej
1996
Harmonic functions of polynomial growth on certain complete manifolds. Zbl 0881.58018
Christiansen, T.; Zworski, M.
1996
Upper bounds on the number of resonances for non-compact Riemann surfaces. Zbl 0841.58063
Guillopé, Laurent; Zworski, Maciej
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
1995
Spectral asymptotics for manifolds with cylindrical ends. Zbl 0818.58046
Christiansen, Tanya; Zworski, Maciej
1995
Existence of resonances in three dimensions. Zbl 0835.35099
Sá Barreto, Antônio; Zworski, Maciej
1995
The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095
Sjöstrand, Johannes; Zworski, Maciej
1995
Generic simplicity of resonances. Zbl 0844.47040
Klopp, Frédéric; Zworski, Maciej
1995
...and 15 more Documents
all top 5

### Cited by 1,132 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 1,032 more Authors
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### Cited in 209 Serials

 112 Communications in Mathematical Physics 75 Journal of Functional Analysis 70 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 24 Proceedings of the American Mathematical Society 21 SIAM Journal on Mathematical Analysis 17 Letters in Mathematical Physics 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Journal of Computational Physics 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 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 Journal of Statistical Physics 6 Mathematische Zeitschrift 6 Ergodic Theory and Dynamical Systems 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 Acta Mathematica 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Mathematische Nachrichten 5 Numerische Mathematik 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 Conformal Geometry and Dynamics 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 ...and 109 more Serials
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### Cited in 56 Fields

 840 Partial differential equations (35-XX) 347 Global analysis, analysis on manifolds (58-XX) 347 Quantum theory (81-XX) 245 Operator theory (47-XX) 167 Differential geometry (53-XX) 156 Dynamical systems and ergodic theory (37-XX) 72 Relativity and gravitational theory (83-XX) 65 Ordinary differential equations (34-XX) 46 Numerical analysis (65-XX) 46 Systems theory; control (93-XX) 44 Number theory (11-XX) 35 Optics, electromagnetic theory (78-XX) 34 Functional analysis (46-XX) 33 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) 21 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) 8 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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