Edit Profile (opens in new tab) Zworski, Maciej Co-Author Distance Author ID: zworski.maciej Published as: Zworski, Maciej; Zworski, M. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 144 Publications since 1985, including 3 Books and 15 Additional arXiv Preprints 1 Contribution as Editor · 4 Further Contributions Co-Authors: 54 Co-Authors with 124 Joint Publications 1,342 Co-Co-Authors all top 5 Co-Authors 25 single-authored 17 Sjöstrand, Johannes 11 Burq, Nicolas 11 Dyatlov, Semyon 9 Becker, Simon 8 Nonnenmacher, Stéphane 7 Galkowski, Jeffrey 7 Holmer, Justin 6 Christiansen, Tanya J. 5 Guillopé, Laurent 5 Sá Barreto, Antônio 4 Melrose, Richard Burt 4 Petkov, Vesselin M. 4 Wunsch, Jared 3 Humbert, Tristan 3 Tao, Zhongkai 3 Wittsten, Jens 3 Zelditch, Steve 2 Datchev, Kiril R. 2 Embree, Mark 2 Hassell, Andrew 2 Hintz, Peter 2 Hitrik, Michael 2 Ji, Lizhen 2 Marzuola, Jeremy Louis 2 Smith, Hart F. 2 Stefanov, Plamen D. 2 Tang, Siuhung 2 Vasy, András 1 Anantharaman, Nalini 1 Bindel, David S. 1 Bourgain, Jean 1 Dencker, Nils 1 Douglas, Michael R. 1 Drouot, Alexis 1 Froese, Richard 1 Graham, C. Robin 1 Han, Rui 1 Hanin, Boris L. 1 Hezari, Hamid 1 Huang, Zhen 1 Iantchenko, Alexai 1 Jin, Long 1 Jitomirskaya, Svetlana Yakovlevna 1 Klevtsov, Semyon 1 Klopp, Frédéric 1 Klukowski, Julian 1 Koch, Herbert 1 Lebeau, Gilles 1 Lee, Minjae 1 Lin, Kevin K. 1 Marchand, Pierre 1 Michel, Laurent 1 Minicozzi, William Philip II 1 Nakamura, Shu 1 Perelman, Galina 1 Phong, Duong Hong 1 Rubinstein, Yanir A. 1 Shiffman, Bernard 1 Simon, Becker 1 Sogge, Christopher D. 1 Spruck, Joel 1 Strain, John A. 1 Strohmaier, Alexander 1 Sturm, Jacob 1 Tataru, Daniel 1 Toth, John Andrew 1 Ward, Rachel A. 1 Weinkove, Ben 1 Weinstein, Alan David 1 Wentworth, Richard A. 1 Yang, Mengxuan 1 Yau, Shing-Tung all top 5 Serials 20 Communications in Mathematical Physics 7 Journal of Functional Analysis 7 Séminaire Équations aux Dérivées Partielles 5 Inventiones Mathematicae 5 Mathematical Research Letters 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Annales de l’Institut Fourier 4 Annales Henri Poincaré 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 3 Journal of Spectral Theory 2 Journal of Mathematical Physics 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 Notices of the American Mathematical Society 2 Annals of Mathematics. Second Series 2 Graduate Studies in Mathematics 2 Journal of Physics A: Mathematical and Theoretical 1 Helvetica Physica Acta 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 Journal on Applied Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 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 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 all top 5 Fields 86 Partial differential equations (35-XX) 49 Global analysis, analysis on manifolds (58-XX) 40 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) 5 Statistical mechanics, structure of matter (82-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) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-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 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 3,391 times in 1,747 Documents Cited by ▼ Year ▼ Semiclassical analysis. Zbl 1252.58001 Zworski, Maciej 457 2012 Scattering matrix in conformal geometry. Zbl 1030.58022 Graham, C. Robin; Zworski, Maciej 211 2003 Mathematical theory of scattering resonances. Zbl 1454.58001 Dyatlov, Semyon; Zworski, Maciej 193 2019 Complex scaling and the distribution of scattering poles. Zbl 0752.35046 Sjöstrand, Johannes; Zworski, Maciej 125 1991 Geometric control in the presence of a black box. Zbl 1050.35058 Burq, Nicolas; Zworski, Maciej 88 2004 Distribution of poles for scattering on the real line. Zbl 0662.34033 Zworski, Maciej 88 1987 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 71 2016 Quantum decay rates in chaotic scattering. Zbl 1226.35061 Nonnenmacher, Stéphane; Zworski, Maciej 66 2009 Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035 Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej 62 2004 Fast soliton scattering by delta impurities. Zbl 1126.35068 Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej 57 2007 Distribution of resonances for spherical black holes. Zbl 0883.35120 Sá Barreto, Antônio; Zworski, Maciej 55 1997 Mathematical study of scattering resonances. Zbl 1368.35230 Zworski, Maciej 55 2017 Scattering metrics and geodesic flow at infinity. Zbl 0855.58058 Melrose, Richard; Zworski, Maciej 54 1996 Scattering asymptotics for Riemann surfaces. Zbl 0898.58054 Guillopé, Laurent; Zworski, Maciej 51 1997 Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037 Dyatlov, Semyon; Zworski, Maciej 51 2015 Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048 Zelditch, Steven; Zworski, Maciej 50 1996 Resonances in physics and geometry. Zbl 1177.58021 Zworski, Maciej 47 1999 Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189 Sjöstrand, Johannes; Zworski, Maciej 45 2007 From quasimodes to resonances. Zbl 0913.35101 Tang, Siu-Hung; Zworski, Maciej 45 1998 Sharp polynomial bounds on the number of scattering poles. Zbl 0705.35099 Zworski, Maciej 44 1989 Resonance expansions of scattered waves. Zbl 1032.35148 Tang, Siu-Hung; Zworski, Maciej 44 2000 Elementary linear algebra for advanced spectral problems. Zbl 1140.15009 Sjöstrand, Johannes; Zworski, Maciej 44 2007 Semiclassical \(L^p\) estimates. Zbl 1133.58025 Koch, Herbert; Tataru, Daniel; Zworski, Maciej 42 2007 The Selberg zeta function for convex co-compact Schottky groups. Zbl 1075.11059 Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej 41 2004 Semiclassical estimates in asymptotically Euclidean scattering. Zbl 0955.58023 Vasy, András; Zworski, Maciej 41 2000 Resolvent estimates for normally hyperbolic trapped sets. Zbl 1228.81170 Wunsch, Jared; Zworski, Maciej 40 2011 Upper bounds on the number of resonances for non-compact Riemann surfaces. Zbl 0841.58063 Guillopé, Laurent; Zworski, Maciej 38 1995 Soliton splitting by external delta potentials. Zbl 1128.35384 Holmer, J.; Marzuola, J.; Zworski, M. 36 2007 Slow solution interaction with delta imperiums. Zbl 1137.35060 Holmer, Justin; Zworski, Maciej 35 2007 Semi-classical estimates on the scattering determinant. Zbl 1041.81041 Petkov, Vesselin; Zworski, Maciej 33 2001 Sharp polynomial bounds on the number of scattering poles of radial potentials. Zbl 0681.47002 Zworski, Maciej 33 1989 Decay of correlations for normally hyperbolic trapping. Zbl 1377.37049 Nonnenmacher, Stéphane; Zworski, Maciej 30 2015 Ruelle zeta function at zero for surfaces. Zbl 1382.58022 Dyatlov, Semyon; Zworski, Maciej 29 2017 Lower bounds on the number of scattering poles. II. Zbl 0823.35137 Sjöstrand, Johannes; Zworski, Maciej 29 1994 Control for Schrödinger operators on tori. Zbl 1281.35011 Burq, Nicolas; Zworski, Maciej 28 2012 Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity. Zbl 0859.58028 Guillopé, Laurent; Zworski, Maciej 28 1995 Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033 Sjöstrand, Johannes; Zworski, Maciej 27 2002 Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208 Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej 27 2002 Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Zbl 1016.58014 Zworski, Maciej 27 1999 Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099 Sjöstrand, Johannes; Zworski, Maciej 26 1999 Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016 Bourgain, Jean; Burq, Nicolas; Zworski, Maciej 25 2013 Lower bounds on the number of scattering poles. Zbl 0784.35070 Sjöstrand, Johannes; Zworski, Maciej 25 1993 A remark on a paper of E. B. Davies. Zbl 0981.35107 Zworski, Maciej 25 2001 Soliton interaction with slowly varying potentials. Zbl 1147.35084 Holmer, Justin; Zworski, Maciej 24 2008 Bouncing ball modes and quantum chaos. Zbl 1072.81022 Burq, Nicolas; Zworski, Maciej 23 2005 Resonance expansions in semi-classical propagation. Zbl 1042.81582 Burq, Nicolas; Zworski, Maciej 22 2001 The inverse spectral problem. Zbl 1061.58029 Zelditch, Steve 22 2004 Existence of resonances in potential scattering. Zbl 0877.35087 Sá Barreto, Antônio; Zworski, Maciej 22 1996 Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012 Zworski, Maciej 22 2016 Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004 Petkov, Vesselin; Zworski, Maciej 21 1999 Numerical linear algebra and solvability of partial differential equations. Zbl 1021.35077 Zworski, Maciej 21 2002 Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100 Dyatlov, Semyon; Zworski, Maciej 21 2013 Microlocal analysis of forced waves. Zbl 1426.35013 Dyatlov, Semyon; Zworski, Maciej 20 2019 The wave trace for Riemann surfaces. Zbl 0947.58022 Guillopé, Laurent; Zworski, Maciej 19 1999 Distribution of resonances for open quantum maps. Zbl 1114.81043 Nonnenmacher, Stéphane; Zworski, Maciej 19 2007 Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064 Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej 18 2003 Spectral asymptotics for manifolds with cylindrical ends. Zbl 0818.58046 Christiansen, Tanya; Zworski, Maciej 18 1995 Poisson formula for resonances in even dimensions. Zbl 0932.47004 Zworski, Maciej 17 1998 Counting scattering poles. Zbl 0823.35139 Zworski, M. 17 1994 Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072 Sjöstrand, Johannes 16 1996 Distribution of resonances for asymptotically Euclidean manifolds. Zbl 1030.58024 Wunsch, Jared; Zworski, Maciej 15 2000 Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022 Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej 15 2014 The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095 Sjöstrand, Johannes; Zworski, Maciej 14 1995 Existence of resonances in three dimensions. Zbl 0835.35099 Sá Barreto, Antônio; Zworski, Maciej 14 1995 Semiclassical resolvent estimates in chaotic scattering. Zbl 1181.81055 Nonnenmacher, Stéphane; Zworski, Maciej 14 2009 Resonances and lower resolvent bounds. Zbl 1326.35299 Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej 13 2015 Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006 Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej 13 2014 Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046 Holmer, Justin; Perelman, Galina; Zworski, Maciej 13 2011 A remark on isopolar potentials. Zbl 0988.34067 Zworski, Maciej 12 2001 Breathing patterns in nonlinear relaxation. Zbl 1173.35685 Holmer, Justin; Zworski, Maciej 12 2009 From open quantum systems to open quantum maps. Zbl 1223.81127 Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej 11 2011 Generic simplicity of resonances. Zbl 0844.47040 Klopp, Frédéric; Zworski, Maciej 10 1995 High frequency scattering by a convex obstacle. Zbl 0732.35060 Zworski, Maciej 10 1990 The FBI transform on compact \({\mathcal{C}^\infty}\) manifolds. Zbl 0974.35005 Wunsch, Jared; Zworski, Maciej 10 2001 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 9 2019 Poisson formulae for resonances. Zbl 1255.35084 Zworski, Maciej 9 1997 Fractal Weyl laws in discrete models of chaotic scattering. Zbl 1082.81079 Nonnenmacher, Stéphane; Zworski, Maciej 9 2005 Mathematics of magic angles in a model of twisted bilayer graphene. Zbl 1491.35147 Becker, Simon; Embree, Mark; Wittsten, Jens; Zworski, Maciej 9 2022 Symmetry of bound and antibound states in the semiclassical limit. Zbl 1161.81430 Bindel, David; Zworski, Maciej 9 2007 Semi-linear diffraction of conormal waves. Zbl 0902.35004 Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej 9 1996 Scattering resonances as viscosity limits. Zbl 1420.35081 Zworski, Maciej 8 2018 Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004 Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej 8 2012 Distribution of scattering poles near the real axis. Zbl 0766.35031 Sjöstrand, Johannes; Zworski, Maciej 8 1992 The remainder estimate in spectral accumulation for degenerating hyperbolic surfaces. Zbl 0783.58078 Ji, Lizhen; Zworski, Maciej 8 1993 Resonance wave expansions: Two hyperbolic examples. Zbl 0955.58024 Christiansen, T.; Zworski, M. 8 2000 Probabilistic Weyl laws for quantized tori. Zbl 1205.53092 Christiansen, T. J.; Zworski, M. 8 2010 Scattering matrices and scattering geodesics of locally symmetric spaces. Zbl 1026.53026 Ji, Lizhen; Zworski, Maciej 7 2001 Estimates on the number of scattering poles near the real axis for strictly convex obstacles. Zbl 0784.35073 Sjöstrand, J.; Zworski, M. 7 1993 Magnetic oscillations in a model of graphene. Zbl 1417.82035 Becker, Simon; Zworski, Maciej 7 2019 A local trace formula for Anosov flows. Zbl 1373.37088 Jin, Long; Zworski, Maciej 7 2017 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 7 2016 A Fermi golden rule for quantum graphs. Zbl 1347.81046 Lee, Minjae; Zworski, Maciej 7 2016 Quantum resonances and partial differential equations. Zbl 1136.35432 Zworski, M. 6 2002 Analytic hypoellipticity of Keldysh operators. Zbl 1481.35100 Galkowski, Jeffrey; Zworski, Maciej 6 2021 Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089 Burq, Nicolas; Zworski, Maciej 6 2005 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 Spacing between phase shifts in a simple scattering problem. Zbl 0946.47006 Zelditch, Steve; Zworski, Maciej 5 1999 Outgoing solutions via Gevrey-2 properties. Zbl 1478.34093 Galkowski, Jeffrey; Zworski, Maciej 5 2021 A quantitative version of Catlin-D’Angelo-Quillen theorem. Zbl 1270.32001 Drouot, Alexis; Zworski, Maciej 5 2013 A semiclassical approach to the Kramers-Smoluchowski equation. Zbl 1403.35299 Michel, Laurent; Zworski, Maciej 5 2018 Integrability in the chiral model of magic angles. Zbl 1541.82016 Becker, Simon; Humbert, Tristan; Zworski, Maciej 2 2023 Mathematics of magic angles in a model of twisted bilayer graphene. Zbl 1491.35147 Becker, Simon; Embree, Mark; Wittsten, Jens; Zworski, Maciej 9 2022 Viscosity limits for zeroth-order pseudodifferential operators. Zbl 1501.35267 Galkowski, Jeffrey; Zworski, Maciej 4 2022 Analytic hypoellipticity of Keldysh operators. Zbl 1481.35100 Galkowski, Jeffrey; Zworski, Maciej 6 2021 Outgoing solutions via Gevrey-2 properties. Zbl 1478.34093 Galkowski, Jeffrey; Zworski, Maciej 5 2021 Honeycomb structures in magnetic fields. Zbl 1519.81227 Simon, Becker; Han, Rui; Jitomirskaya, Svetlana; Zworski, Maciej 1 2021 Fractal uncertainty for transfer operators. Zbl 1442.42059 Dyatlov, Semyon; Zworski, Maciej 3 2020 Mathematical theory of scattering resonances. Zbl 1454.58001 Dyatlov, Semyon; Zworski, Maciej 193 2019 Microlocal analysis of forced waves. Zbl 1426.35013 Dyatlov, Semyon; Zworski, Maciej 20 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 9 2019 Magnetic oscillations in a model of graphene. Zbl 1417.82035 Becker, Simon; Zworski, Maciej 7 2019 Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207 Lebeau, Gilles; Zworski, Maciej 4 2019 Scattering resonances as viscosity limits. Zbl 1420.35081 Zworski, Maciej 8 2018 A semiclassical approach to the Kramers-Smoluchowski equation. Zbl 1403.35299 Michel, Laurent; Zworski, Maciej 5 2018 Resonances for obstacles in hyperbolic space. Zbl 1393.35138 Hintz, Peter; Zworski, Maciej 4 2018 Commentary on “Differentiable dynamical systems” by Stephen Smale. Zbl 1390.37004 Zworski, Maciej 3 2018 Mathematical study of scattering resonances. Zbl 1368.35230 Zworski, Maciej 55 2017 Ruelle zeta function at zero for surfaces. Zbl 1382.58022 Dyatlov, Semyon; Zworski, Maciej 29 2017 A local trace formula for Anosov flows. Zbl 1373.37088 Jin, Long; Zworski, Maciej 7 2017 Wave decay for star-shaped obstacles in \({\mathbb R}^3\): papers of Morawetz and Ralston revisited. Zbl 1393.35137 Hintz, Peter; Zworski, Maciej 3 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 71 2016 Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012 Zworski, Maciej 22 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 7 2016 A Fermi golden rule for quantum graphs. Zbl 1347.81046 Lee, Minjae; Zworski, Maciej 7 2016 Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037 Dyatlov, Semyon; Zworski, Maciej 51 2015 Decay of correlations for normally hyperbolic trapping. Zbl 1377.37049 Nonnenmacher, Stéphane; Zworski, Maciej 30 2015 Resonances and lower resolvent bounds. Zbl 1326.35299 Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej 13 2015 Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022 Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej 15 2014 Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006 Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej 13 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 3 2014 Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016 Bourgain, Jean; Burq, Nicolas; Zworski, Maciej 25 2013 Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100 Dyatlov, Semyon; Zworski, Maciej 21 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 457 2012 Control for Schrödinger operators on tori. Zbl 1281.35011 Burq, Nicolas; Zworski, Maciej 28 2012 Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004 Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej 8 2012 Resolvent estimates for normally hyperbolic trapped sets. Zbl 1228.81170 Wunsch, Jared; Zworski, Maciej 40 2011 Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046 Holmer, Justin; Perelman, Galina; Zworski, Maciej 13 2011 From open quantum systems to open quantum maps. Zbl 1223.81127 Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej 11 2011 Probabilistic Weyl laws for quantized tori. Zbl 1205.53092 Christiansen, T. J.; Zworski, M. 8 2010 Quantum decay rates in chaotic scattering. Zbl 1226.35061 Nonnenmacher, Stéphane; Zworski, Maciej 66 2009 Semiclassical resolvent estimates in chaotic scattering. Zbl 1181.81055 Nonnenmacher, Stéphane; Zworski, Maciej 14 2009 Breathing patterns in nonlinear relaxation. Zbl 1173.35685 Holmer, Justin; Zworski, Maciej 12 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 24 2008 Fast soliton scattering by delta impurities. Zbl 1126.35068 Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej 57 2007 Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189 Sjöstrand, Johannes; Zworski, Maciej 45 2007 Elementary linear algebra for advanced spectral problems. Zbl 1140.15009 Sjöstrand, Johannes; Zworski, Maciej 44 2007 Semiclassical \(L^p\) estimates. Zbl 1133.58025 Koch, Herbert; Tataru, Daniel; Zworski, Maciej 42 2007 Soliton splitting by external delta potentials. Zbl 1128.35384 Holmer, J.; Marzuola, J.; Zworski, M. 36 2007 Slow solution interaction with delta imperiums. Zbl 1137.35060 Holmer, Justin; Zworski, Maciej 35 2007 Distribution of resonances for open quantum maps. Zbl 1114.81043 Nonnenmacher, Stéphane; Zworski, Maciej 19 2007 Symmetry of bound and antibound states in the semiclassical limit. Zbl 1161.81430 Bindel, David; Zworski, Maciej 9 2007 Bouncing ball modes and quantum chaos. Zbl 1072.81022 Burq, Nicolas; Zworski, Maciej 23 2005 Fractal Weyl laws in discrete models of chaotic scattering. Zbl 1082.81079 Nonnenmacher, Stéphane; Zworski, Maciej 9 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 88 2004 Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035 Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej 62 2004 The Selberg zeta function for convex co-compact Schottky groups. Zbl 1075.11059 Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej 41 2004 The inverse spectral problem. Zbl 1061.58029 Zelditch, Steve 22 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 211 2003 Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064 Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej 18 2003 Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033 Sjöstrand, Johannes; Zworski, Maciej 27 2002 Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208 Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej 27 2002 Numerical linear algebra and solvability of partial differential equations. Zbl 1021.35077 Zworski, Maciej 21 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 33 2001 A remark on a paper of E. B. Davies. Zbl 0981.35107 Zworski, Maciej 25 2001 Resonance expansions in semi-classical propagation. Zbl 1042.81582 Burq, Nicolas; Zworski, Maciej 22 2001 A remark on isopolar potentials. Zbl 0988.34067 Zworski, Maciej 12 2001 The FBI transform on compact \({\mathcal{C}^\infty}\) manifolds. Zbl 0974.35005 Wunsch, Jared; Zworski, Maciej 10 2001 Scattering matrices and scattering geodesics of locally symmetric spaces. Zbl 1026.53026 Ji, Lizhen; Zworski, Maciej 7 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 44 2000 Semiclassical estimates in asymptotically Euclidean scattering. Zbl 0955.58023 Vasy, András; Zworski, Maciej 41 2000 Distribution of resonances for asymptotically Euclidean manifolds. Zbl 1030.58024 Wunsch, Jared; Zworski, Maciej 15 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 3 2000 Resonances in physics and geometry. Zbl 1177.58021 Zworski, Maciej 47 1999 Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Zbl 1016.58014 Zworski, Maciej 27 1999 Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099 Sjöstrand, Johannes; Zworski, Maciej 26 1999 Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004 Petkov, Vesselin; Zworski, Maciej 21 1999 The wave trace for Riemann surfaces. Zbl 0947.58022 Guillopé, Laurent; Zworski, Maciej 19 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 45 1998 Poisson formula for resonances in even dimensions. Zbl 0932.47004 Zworski, Maciej 17 1998 Distribution of resonances for spherical black holes. Zbl 0883.35120 Sá Barreto, Antônio; Zworski, Maciej 55 1997 Scattering asymptotics for Riemann surfaces. Zbl 0898.58054 Guillopé, Laurent; Zworski, Maciej 51 1997 Poisson formulae for resonances. Zbl 1255.35084 Zworski, Maciej 9 1997 Scattering metrics and geodesic flow at infinity. Zbl 0855.58058 Melrose, Richard; Zworski, Maciej 54 1996 Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048 Zelditch, Steven; Zworski, Maciej 50 1996 Existence of resonances in potential scattering. Zbl 0877.35087 Sá Barreto, Antônio; Zworski, Maciej 22 1996 Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072 Sjöstrand, Johannes 16 1996 Semi-linear diffraction of conormal waves. Zbl 0902.35004 Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej 9 1996 Harmonic functions of polynomial growth on certain complete manifolds. Zbl 0881.58018 Christiansen, T.; Zworski, M. 3 1996 Upper bounds on the number of resonances for non-compact Riemann surfaces. Zbl 0841.58063 Guillopé, Laurent; Zworski, Maciej 38 1995 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,534 Authors 57 Zworski, Maciej 38 Vasy, András 36 Galkowski, Jeffrey 34 Sjöstrand, Johannes 32 Guillarmou, Colin 30 Wunsch, Jared 29 Hassell, Andrew 27 Korotyaev, Evgeny L. 26 Dyatlov, Semyon 25 Gover, Ashwin Rod 24 Spence, Euan A. 20 Burq, Nicolas 20 Rivière, Gabriel 19 Datchev, Kiril R. 19 Zelditch, Steve 18 Vodev, Georgi 16 Bony, Jean-François 16 Christiansen, Tanya J. 16 Sá Barreto, Antônio 16 Weich, Tobias 15 Stefanov, Plamen D. 14 Toth, John Andrew 13 Christianson, Hans 13 Fujiié, Setsuro 13 Marzuola, Jeremy Louis 12 Drouot, Alexis 12 Hintz, Peter 12 Macià, Fabricio 11 Canzani, Yaiza 11 Fermanian-Kammerer, Clotilde 11 González, María del Mar 11 Hitrik, Michael 11 Iantchenko, Alexei 11 Sire, Yannick 11 Vögel, Martin 11 Vũ Ngọc, San 10 Chang, Sun-Yung Alice 10 Lefeuvre, Thibault 10 Nonnenmacher, Stéphane 10 Ramond, Thierry 10 Royer, Julien 10 Tacy, Melissa 10 Uhlmann, Gunther Alberto 9 Bonthonneau, Yannick Guedes 9 Borthwick, David 9 Faure, Frédéric 9 Jin, Long 9 Juhl, Andreas 9 Lafontaine, David 9 Petkov, Vesselin M. 9 Zerzeri, Maher 8 Becker, Simon 8 Case, Jeffrey S. 8 Hezari, Hamid 8 Ingremeau, Maxime 8 Naud, Frédéric 8 Nier, Francis 8 Pravda-Starov, Karel 8 Sogge, Christopher D. 8 Wang, Yiran 8 Xiong, Jingang 7 Ammari, Habib 7 Bruneau, Vincent 7 Chtioui, Hichem 7 Delarue, Benjamin 7 Dimassi, Mouez 7 Gannot, Oran 7 Gell-Redman, Jesse 7 Helffer, Bernard 7 Jakobson, Dmitry 7 Michel, Laurent 7 Perry, Peter A. 7 Smith, Hart F. 7 Sun, Chenmin 7 Trélat, Emmanuel 6 Angulo Pava, Jaime 6 Arnaiz, Víctor 6 Bal, Guillaume 6 Baskin, Dean 6 Cekić, Mihajlo 6 Colin de Verdière, Yves 6 Cuenin, Jean-Claude 6 Häfner, Dietrich 6 Hilgert, Joachim 6 Hillairet, Luc 6 Isozaki, Hiroshi 6 Kim, Seunghyeok 6 Lassas, Matti J. 6 Laurent, Camille 6 Léautaud, Matthieu 6 Marletta, Marco 6 Mazzeo, Rafe R. 6 Muñoz, Claudio 6 Privat, Yannick 6 Salo, Mikko 6 Shapiro, Jacob 6 Siegl, Petr 6 Simon, Barry 6 Strohmaier, Alexander 6 Taira, Kouichi ...and 1,434 more Authors all top 5 Cited in 257 Serials 133 Communications in Mathematical Physics 86 Journal of Functional Analysis 76 Communications in Partial Differential Equations 71 Annales Henri Poincaré 54 Journal of Mathematical Physics 41 Journal of Differential Equations 41 SIAM Journal on Mathematical Analysis 40 Advances in Mathematics 39 Annales de l’Institut Fourier 39 Journal of Spectral Theory 33 Duke Mathematical Journal 32 The Journal of Geometric Analysis 29 Transactions of the American Mathematical Society 28 Proceedings of the American Mathematical Society 25 Pure and Applied Analysis 22 Analysis & PDE 20 Nonlinearity 19 Journal of Mathematical Analysis and Applications 19 Inventiones Mathematicae 19 Journal de Mathématiques Pures et Appliquées. 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Serie Quarta 5 Journal of Computational and Applied Mathematics 5 Journal of Differential Geometry 5 Pacific Journal of Mathematics 5 Proceedings of the London Mathematical Society. Third Series 5 Chinese Annals of Mathematics. Series B 5 Differential Geometry and its Applications 5 Indagationes Mathematicae. New Series 5 Russian Journal of Mathematical Physics 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Pseudo-Differential Operators and Applications 5 Annals of PDE 5 Probability and Mathematical Physics 4 Journal of Geometry and Physics 4 Bulletin de la Société Mathématique de France 4 Journal of the London Mathematical Society. Second Series 4 SIAM Journal on Control and Optimization 4 Applied Mathematics Letters 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Applied and Computational Harmonic Analysis 4 St. Petersburg Mathematical Journal 4 Communications on Pure and Applied Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Analysis and Mathematical Physics 4 Bulletin of Mathematical Sciences 3 Applicable Analysis 3 Israel Journal of Mathematics 3 Studia Mathematica ...and 157 more Serials all top 5 Cited in 59 Fields 1,137 Partial differential equations (35-XX) 453 Global analysis, analysis on manifolds (58-XX) 453 Quantum theory (81-XX) 325 Operator theory (47-XX) 216 Differential geometry (53-XX) 209 Dynamical systems and ergodic theory (37-XX) 94 Relativity and gravitational theory (83-XX) 91 Ordinary differential equations (34-XX) 71 Numerical analysis (65-XX) 64 Systems theory; control (93-XX) 61 Optics, electromagnetic theory (78-XX) 60 Statistical mechanics, structure of matter (82-XX) 55 Number theory (11-XX) 49 Functional analysis (46-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 40 Probability theory and stochastic processes (60-XX) 35 Several complex variables and analytic spaces (32-XX) 33 Fluid mechanics (76-XX) 27 Mechanics of particles and systems (70-XX) 23 Topological groups, Lie groups (22-XX) 22 Functions of a complex variable (30-XX) 20 Mechanics of deformable solids (74-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Integral transforms, operational calculus (44-XX) 16 Measure and integration (28-XX) 16 Abstract harmonic analysis (43-XX) 15 Manifolds and cell complexes (57-XX) 14 Special functions (33-XX) 13 Algebraic geometry (14-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Combinatorics (05-XX) 12 Potential theory (31-XX) 11 Real functions (26-XX) 11 Information and communication theory, circuits (94-XX) 9 General and overarching topics; collections (00-XX) 7 Difference and functional equations (39-XX) 7 Integral equations (45-XX) 7 Geometry (51-XX) 6 History and biography (01-XX) 6 Approximations and expansions (41-XX) 6 Geophysics (86-XX) 6 Biology and other natural sciences (92-XX) 5 Group theory and generalizations (20-XX) 5 Astronomy and astrophysics (85-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 4 Computer science (68-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Operations research, mathematical programming (90-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 \(K\)-theory (19-XX) 2 Algebraic topology (55-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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