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: 125 Publications since 1985, including 3 Books 1 Contribution as Editor · 3 Further Contributions Co-Authors: 48 Co-Authors with 104 Joint Publications 1,145 Co-Co-Authors all top 5 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 Galkowski, Jeffrey 3 Wunsch, Jared 3 Zelditch, Steve 2 Becker, Simon 2 Datchev, Kiril R. 2 Hintz, Peter 2 Ji, Lizhen 2 Marzuola, Jeremy Louis 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 Han, Rui 1 Hassell, Andrew 1 Iantchenko, Alexai 1 Jin, Long 1 Jitomirskaya, Svetlana Yakovlevna 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 Simon, Becker 1 Strain, John A. 1 Tataru, Daniel 1 Ward, Rachel A. 1 Wittsten, Jens all top 5 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 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 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 Physics A: Mathematical and Theoretical 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 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 84 Partial differential equations (35-XX) 48 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) 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 2,952 times in 1,500 Documents Cited by ▼ Year ▼ Semiclassical analysis. Zbl 1252.58001Zworski, Maciej 350 2012 Scattering matrix in conformal geometry. Zbl 1030.58022Graham, C. Robin; Zworski, Maciej 194 2003 Mathematical theory of scattering resonances. Zbl 1454.58001Dyatlov, Semyon; Zworski, Maciej 134 2019 Complex scaling and the distribution of scattering poles. Zbl 0752.35046Sjöstrand, Johannes; Zworski, Maciej 115 1991 Geometric control in the presence of a black box. Zbl 1050.35058Burq, Nicolas; Zworski, Maciej 81 2004 Distribution of poles for scattering on the real line. Zbl 0662.34033Zworski, Maciej 75 1987 Dynamical zeta functions for Anosov flows via microlocal analysis. (Fonctions zêta dynamiques pour les flots d’Anosov en utilisant l’analyse microlocale.) Zbl 1369.37028Dyatlov, Semyon; Zworski, Maciej 57 2016 Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej 57 2004 Quantum decay rates in chaotic scattering. Zbl 1226.35061Nonnenmacher, Stéphane; Zworski, Maciej 56 2009 Distribution of resonances for spherical black holes. Zbl 0883.35120Sá Barreto, Antônio; Zworski, Maciej 51 1997 Scattering asymptotics for Riemann surfaces. Zbl 0898.58054Guillopé, Laurent; Zworski, Maciej 49 1997 Scattering metrics and geodesic flow at infinity. Zbl 0855.58058Melrose, Richard; Zworski, Maciej 49 1996 Fast soliton scattering by delta impurities. Zbl 1126.35068Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej 49 2007 Mathematical study of scattering resonances. Zbl 1368.35230Zworski, Maciej 48 2017 Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037Dyatlov, Semyon; Zworski, Maciej 48 2015 Resonances in physics and geometry. Zbl 1177.58021Zworski, Maciej 44 1999 Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048Zelditch, Steven; Zworski, Maciej 43 1996 From quasimodes to resonances. Zbl 0913.35101Tang, Siu-Hung; Zworski, Maciej 43 1998 Sharp polynomial bounds on the number of scattering poles. Zbl 0705.35099Zworski, Maciej 42 1989 Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189Sjöstrand, Johannes; Zworski, Maciej 41 2007 Resonance expansions of scattered waves. Zbl 1032.35148Tang, Siu-Hung; Zworski, Maciej 40 2000 The Selberg zeta function for convex co-compact Schottky groups. Zbl 1075.11059Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej 40 2004 Semiclassical estimates in asymptotically Euclidean scattering. Zbl 0955.58023Vasy, András; Zworski, Maciej 39 2000 Upper bounds on the number of resonances for non-compact Riemann surfaces. Zbl 0841.58063Guillopé, Laurent; Zworski, Maciej 37 1995 Elementary linear algebra for advanced spectral problems. Zbl 1140.15009Sjöstrand, Johannes; Zworski, Maciej 35 2007 Resolvent estimates for normally hyperbolic trapped sets. Zbl 1228.81170Wunsch, Jared; Zworski, Maciej 34 2011 Semiclassical \(L^p\) estimates. Zbl 1133.58025Koch, Herbert; Tataru, Daniel; Zworski, Maciej 33 2007 Slow solution interaction with delta imperiums. Zbl 1137.35060Holmer, Justin; Zworski, Maciej 33 2007 Semi-classical estimates on the scattering determinant. Zbl 1041.81041Petkov, Vesselin; Zworski, Maciej 32 2001 Sharp polynomial bounds on the number of scattering poles of radial potentials. Zbl 0681.47002Zworski, Maciej 32 1989 Soliton splitting by external delta potentials. Zbl 1128.35384Holmer, J.; Marzuola, J.; Zworski, M. 30 2007 Decay of correlations for normally hyperbolic trapping. Zbl 1377.37049Nonnenmacher, Stéphane; Zworski, Maciej 29 2015 Lower bounds on the number of scattering poles. II. Zbl 0823.35137Sjöstrand, Johannes; Zworski, Maciej 29 1994 Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity. Zbl 0859.58028Guillopé, Laurent; Zworski, Maciej 28 1995 Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Zbl 1016.58014Zworski, Maciej 26 1999 Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej 26 2002 Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033Sjöstrand, Johannes; Zworski, Maciej 26 2002 Control for Schrödinger operators on tori. Zbl 1281.35011Burq, Nicolas; Zworski, Maciej 26 2012 Lower bounds on the number of scattering poles. Zbl 0784.35070Sjöstrand, Johannes; Zworski, Maciej 25 1993 Ruelle zeta function at zero for surfaces. Zbl 1382.58022Dyatlov, Semyon; Zworski, Maciej 24 2017 Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099Sjöstrand, Johannes; Zworski, Maciej 23 1999 A remark on a paper of E. B. Davies. Zbl 0981.35107Zworski, Maciej 23 2001 Soliton interaction with slowly varying potentials. Zbl 1147.35084Holmer, Justin; Zworski, Maciej 23 2008 Bouncing ball modes and quantum chaos. Zbl 1072.81022Burq, Nicolas; Zworski, Maciej 21 2005 Numerical linear algebra and solvability of partial differential equations. Zbl 1021.35077Zworski, Maciej 21 2002 Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016Bourgain, Jean; Burq, Nicolas; Zworski, Maciej 21 2013 Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012Zworski, Maciej 20 2016 Existence of resonances in potential scattering. Zbl 0877.35087Sá Barreto, Antônio; Zworski, Maciej 20 1996 Resonance expansions in semi-classical propagation. Zbl 1042.81582Burq, Nicolas; Zworski, Maciej 20 2001 Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100Dyatlov, Semyon; Zworski, Maciej 20 2013 The inverse spectral problem. Zbl 1061.58029Zelditch, Steve 19 2004 Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004Petkov, Vesselin; Zworski, Maciej 19 1999 The wave trace for Riemann surfaces. Zbl 0947.58022Guillopé, Laurent; Zworski, Maciej 19 1999 Poisson formula for resonances in even dimensions. Zbl 0932.47004Zworski, Maciej 17 1998 Distribution of resonances for open quantum maps. Zbl 1114.81043Nonnenmacher, Stéphane; Zworski, Maciej 17 2007 Counting scattering poles. Zbl 0823.35139Zworski, M. 17 1994 Spectral asymptotics for manifolds with cylindrical ends. Zbl 0818.58046Christiansen, Tanya; Zworski, Maciej 16 1995 Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej 16 2003 Distribution of resonances for asymptotically Euclidean manifolds. Zbl 1030.58024Wunsch, Jared; Zworski, Maciej 15 2000 Semiclassical resolvent estimates in chaotic scattering. Zbl 1181.81055Nonnenmacher, Stéphane; Zworski, Maciej 14 2009 Existence of resonances in three dimensions. Zbl 0835.35099Sá Barreto, Antônio; Zworski, Maciej 14 1995 Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072Sjöstrand, Johannes 14 1996 The complex scaling method for scattering by strictly convex obstacles. Zbl 0839.35095Sjöstrand, Johannes; Zworski, Maciej 13 1995 Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej 12 2014 Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046Holmer, Justin; Perelman, Galina; Zworski, Maciej 12 2011 Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej 11 2014 Resonances and lower resolvent bounds. Zbl 1326.35299Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej 11 2015 The FBI transform on compact \({\mathcal{C}^\infty}\) manifolds. Zbl 0974.35005Wunsch, Jared; Zworski, Maciej 10 2001 Generic simplicity of resonances. Zbl 0844.47040Klopp, Frédéric; Zworski, Maciej 10 1995 Microlocal analysis of forced waves. Zbl 1426.35013Dyatlov, Semyon; Zworski, Maciej 10 2019 Breathing patterns in nonlinear relaxation. Zbl 1173.35685Holmer, Justin; Zworski, Maciej 9 2009 A remark on isopolar potentials. Zbl 0988.34067Zworski, Maciej 9 2001 Semi-linear diffraction of conormal waves. Zbl 0902.35004Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej 9 1996 Fractal Weyl laws in discrete models of chaotic scattering. Zbl 1082.81079Nonnenmacher, Stéphane; Zworski, Maciej 9 2005 From open quantum systems to open quantum maps. Zbl 1223.81127Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej 9 2011 Resonance wave expansions: Two hyperbolic examples. Zbl 0955.58024Christiansen, T.; Zworski, M. 8 2000 Distribution of scattering poles near the real axis. Zbl 0766.35031Sjöstrand, Johannes; Zworski, Maciej 8 1992 High frequency scattering by a convex obstacle. Zbl 0732.35060Zworski, Maciej 8 1990 Symmetry of bound and antibound states in the semiclassical limit. Zbl 1161.81430Bindel, David; Zworski, Maciej 8 2007 Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej 8 2012 Poisson formulae for resonances. Zbl 1255.35084Zworski, Maciej 7 1997 Scattering matrices and scattering geodesics of locally symmetric spaces. Zbl 1026.53026Ji, Lizhen; Zworski, Maciej 7 2001 Estimates on the number of scattering poles near the real axis for strictly convex obstacles. Zbl 0784.35073Sjöstrand, J.; Zworski, M. 7 1993 Magnetic oscillations in a model of graphene. Zbl 1417.82035Becker, Simon; Zworski, Maciej 7 2019 Scattering resonances as viscosity limits. Zbl 1420.35081Zworski, Maciej 7 2018 A Fermi golden rule for quantum graphs. Zbl 1347.81046Lee, Minjae; Zworski, Maciej 7 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 1358.35077Smith, Hart F.; Zworski, Maciej 7 2016 A local trace formula for Anosov flows. Zbl 1373.37088Jin, Long; Zworski, Maciej 6 2017 Quantum resonances and partial differential equations. Zbl 1136.35432Zworski, M. 6 2002 Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089Burq, Nicolas; Zworski, Maciej 6 2005 The remainder estimate in spectral accumulation for degenerating hyperbolic surfaces. Zbl 0783.58078Ji, Lizhen; Zworski, Maciej 6 1993 Growth of the zeta function for a quadratic map and the dimension of the Julia set. Zbl 1066.37031Strain, John; Zworski, Maciej 5 2004 Probabilistic Weyl laws for quantized tori. Zbl 1205.53092Christiansen, T. J.; Zworski, M. 5 2010 Spacing between phase shifts in a simple scattering problem. Zbl 0946.47006Zelditch, Steve; Zworski, Maciej 5 1999 A semiclassical approach to the Kramers-Smoluchowski equation. Zbl 1403.35299Michel, Laurent; Zworski, Maciej 5 2018 A quantitative version of Catlin-D’Angelo-Quillen theorem. Zbl 1270.32001Drouot, Alexis; Zworski, Maciej 5 2013 Analytic hypoellipticity of Keldysh operators. Zbl 1481.35100Galkowski, Jeffrey; Zworski, Maciej 4 2021 Decomposition of normal currents. Zbl 0658.49019Zworski, Maciej 4 1988 Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306Burq, Nicolas; Zworski, Maciej 4 2019 Resonances for obstacles in hyperbolic space. Zbl 1393.35138Hintz, Peter; Zworski, Maciej 4 2018 Mathematics of magic angles in a model of twisted bilayer graphene. Zbl 1491.35147Becker, Simon; Embree, Mark; Wittsten, Jens; Zworski, Maciej 3 2022 Viscosity limits for zeroth-order pseudodifferential operators. Zbl 1501.35267Galkowski, Jeffrey; Zworski, Maciej 1 2022 Analytic hypoellipticity of Keldysh operators. Zbl 1481.35100Galkowski, Jeffrey; Zworski, Maciej 4 2021 Outgoing solutions via Gevrey-2 properties. Zbl 1478.34093Galkowski, Jeffrey; Zworski, Maciej 2 2021 Fractal uncertainty for transfer operators. Zbl 1442.42059Dyatlov, Semyon; Zworski, Maciej 2 2020 Mathematical theory of scattering resonances. Zbl 1454.58001Dyatlov, Semyon; Zworski, Maciej 134 2019 Microlocal analysis of forced waves. Zbl 1426.35013Dyatlov, Semyon; Zworski, Maciej 10 2019 Magnetic oscillations in a model of graphene. Zbl 1417.82035Becker, Simon; Zworski, Maciej 7 2019 Rough controls for Schrödinger operators on 2-tori. (Contrôles peu réguliers pour l’equation de Schrödinger sur les tores de dimension \(2\).) Zbl 1421.35306Burq, Nicolas; Zworski, Maciej 4 2019 Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207Lebeau, Gilles; Zworski, Maciej 2 2019 Scattering resonances as viscosity limits. Zbl 1420.35081Zworski, Maciej 7 2018 A semiclassical approach to the Kramers-Smoluchowski equation. Zbl 1403.35299Michel, Laurent; Zworski, Maciej 5 2018 Resonances for obstacles in hyperbolic space. Zbl 1393.35138Hintz, Peter; Zworski, Maciej 4 2018 Commentary on “Differentiable dynamical systems” by Stephen Smale. Zbl 1390.37004Zworski, Maciej 3 2018 Mathematical study of scattering resonances. Zbl 1368.35230Zworski, Maciej 48 2017 Ruelle zeta function at zero for surfaces. Zbl 1382.58022Dyatlov, Semyon; Zworski, Maciej 24 2017 A local trace formula for Anosov flows. Zbl 1373.37088Jin, Long; Zworski, Maciej 6 2017 Wave decay for star-shaped obstacles in \({\mathbb R}^3\): papers of Morawetz and Ralston revisited. Zbl 1393.35137Hintz, Peter; Zworski, Maciej 2 2017 Dynamical zeta functions for Anosov flows via microlocal analysis. (Fonctions zêta dynamiques pour les flots d’Anosov en utilisant l’analyse microlocale.) Zbl 1369.37028Dyatlov, Semyon; Zworski, Maciej 57 2016 Resonances for asymptotically hyperbolic manifolds: Vasy’s method revisited. Zbl 1365.58012Zworski, Maciej 20 2016 A Fermi golden rule for quantum graphs. Zbl 1347.81046Lee, Minjae; Zworski, Maciej 7 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 1358.35077Smith, Hart F.; Zworski, Maciej 7 2016 Stochastic stability of Pollicott-Ruelle resonances. Zbl 1369.37037Dyatlov, Semyon; Zworski, Maciej 48 2015 Decay of correlations for normally hyperbolic trapping. Zbl 1377.37049Nonnenmacher, Stéphane; Zworski, Maciej 29 2015 Resonances and lower resolvent bounds. Zbl 1326.35299Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej 11 2015 Sharp polynomial bounds on the number of Pollicott-Ruelle resonances. Zbl 1332.37006Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej 12 2014 Fractal Weyl law for open quantum chaotic maps. Zbl 1293.81022Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej 11 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 Control for Schrödinger operators on 2-tori: rough potentials. Zbl 1279.35016Bourgain, Jean; Burq, Nicolas; Zworski, Maciej 21 2013 Quantum ergodicity for restrictions to hypersurfaces. Zbl 1278.81100Dyatlov, Semyon; Zworski, Maciej 20 2013 A quantitative version of Catlin-D’Angelo-Quillen theorem. Zbl 1270.32001Drouot, Alexis; Zworski, Maciej 5 2013 Pointwise bounds on quasimodes of semiclassical Schrödinger operators in dimension two. Zbl 1284.58009Smith, Hart F.; Zworski, Maciej 2 2013 Semiclassical analysis. Zbl 1252.58001Zworski, Maciej 350 2012 Control for Schrödinger operators on tori. Zbl 1281.35011Burq, Nicolas; Zworski, Maciej 26 2012 Weighted eigenfunction estimates with applications to compressed sensing. Zbl 1262.41004Burq, Nicolas; Dyatlov, Semyon; Ward, Rachel; Zworski, Maciej 8 2012 Resolvent estimates for normally hyperbolic trapped sets. Zbl 1228.81170Wunsch, Jared; Zworski, Maciej 34 2011 Effective dynamics of double solitons for perturbed mKdV. Zbl 1300.37046Holmer, Justin; Perelman, Galina; Zworski, Maciej 12 2011 From open quantum systems to open quantum maps. Zbl 1223.81127Nonnenmacher, Stéphane; Sjöstrand, Johannes; Zworski, Maciej 9 2011 Probabilistic Weyl laws for quantized tori. Zbl 1205.53092Christiansen, T. J.; Zworski, M. 5 2010 Quantum decay rates in chaotic scattering. Zbl 1226.35061Nonnenmacher, Stéphane; Zworski, Maciej 56 2009 Semiclassical resolvent estimates in chaotic scattering. Zbl 1181.81055Nonnenmacher, Stéphane; Zworski, Maciej 14 2009 Breathing patterns in nonlinear relaxation. Zbl 1173.35685Holmer, Justin; Zworski, Maciej 9 2009 A mathematical formulation of the Mahaux-Weidenmüller formula for the scattering matrix. Zbl 1179.81157Christiansen, T. J.; Zworski, M. 1 2009 Soliton interaction with slowly varying potentials. Zbl 1147.35084Holmer, Justin; Zworski, Maciej 23 2008 Fast soliton scattering by delta impurities. Zbl 1126.35068Holmer, Justin; Marzuola, Jeremy; Zworski, Maciej 49 2007 Fractal upper bounds on the density of semiclassical resonances. Zbl 1201.35189Sjöstrand, Johannes; Zworski, Maciej 41 2007 Elementary linear algebra for advanced spectral problems. Zbl 1140.15009Sjöstrand, Johannes; Zworski, Maciej 35 2007 Semiclassical \(L^p\) estimates. Zbl 1133.58025Koch, Herbert; Tataru, Daniel; Zworski, Maciej 33 2007 Slow solution interaction with delta imperiums. Zbl 1137.35060Holmer, Justin; Zworski, Maciej 33 2007 Soliton splitting by external delta potentials. Zbl 1128.35384Holmer, J.; Marzuola, J.; Zworski, M. 30 2007 Distribution of resonances for open quantum maps. Zbl 1114.81043Nonnenmacher, Stéphane; Zworski, Maciej 17 2007 Symmetry of bound and antibound states in the semiclassical limit. Zbl 1161.81430Bindel, David; Zworski, Maciej 8 2007 Bouncing ball modes and quantum chaos. Zbl 1072.81022Burq, Nicolas; Zworski, Maciej 21 2005 Fractal Weyl laws in discrete models of chaotic scattering. Zbl 1082.81079Nonnenmacher, Stéphane; Zworski, Maciej 9 2005 Instability for the semiclassical nonlinear Schrödinger equation. Zbl 1133.35089Burq, Nicolas; Zworski, Maciej 6 2005 Geometric control in the presence of a black box. Zbl 1050.35058Burq, Nicolas; Zworski, Maciej 81 2004 Pseudospectra of semiclassical (pseudo-) differential operators. Zbl 1054.35035Dencker, Nils; Sjöstrand, Johannes; Zworski, Maciej 57 2004 The Selberg zeta function for convex co-compact Schottky groups. Zbl 1075.11059Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej 40 2004 The inverse spectral problem. Zbl 1061.58029Zelditch, Steve 19 2004 Growth of the zeta function for a quadratic map and the dimension of the Julia set. Zbl 1066.37031Strain, John; Zworski, Maciej 5 2004 Control theory and high energy eigenfunctions. Zbl 1064.35120Burq, Nicolas; Zworski, Maciej 3 2004 Scattering matrix in conformal geometry. Zbl 1030.58022Graham, C. Robin; Zworski, Maciej 194 2003 Resonance expansions of propagators in the presence of potential barriers. Zbl 1037.35064Nakamura, Shu; Stefanov, Plamen; Zworski, Maciej 16 2003 Birkhoff normal forms in semi-classical inverse problems. Zbl 1258.35208Iantchenko, Alexai; Sjöstrand, Johannes; Zworski, Maciej 26 2002 Quantum monodromy and semi-classical trace formulæ. Zbl 1038.58033Sjöstrand, Johannes; Zworski, Maciej 26 2002 Numerical linear algebra and solvability of partial differential equations. Zbl 1021.35077Zworski, Maciej 21 2002 Quantum resonances and partial differential equations. Zbl 1136.35432Zworski, M. 6 2002 Semi-classical estimates on the scattering determinant. Zbl 1041.81041Petkov, Vesselin; Zworski, Maciej 32 2001 A remark on a paper of E. B. Davies. Zbl 0981.35107Zworski, Maciej 23 2001 Resonance expansions in semi-classical propagation. Zbl 1042.81582Burq, Nicolas; Zworski, Maciej 20 2001 The FBI transform on compact \({\mathcal{C}^\infty}\) manifolds. Zbl 0974.35005Wunsch, Jared; Zworski, Maciej 10 2001 A remark on isopolar potentials. Zbl 0988.34067Zworski, Maciej 9 2001 Scattering matrices and scattering geodesics of locally symmetric spaces. Zbl 1026.53026Ji, Lizhen; Zworski, Maciej 7 2001 Singular part of the scattering matrix determines the obstacle. Zbl 1181.35348Zworski, Maciej 2 2001 Resonance expansions of scattered waves. Zbl 1032.35148Tang, Siu-Hung; Zworski, Maciej 40 2000 Semiclassical estimates in asymptotically Euclidean scattering. Zbl 0955.58023Vasy, András; Zworski, Maciej 39 2000 Distribution of resonances for asymptotically Euclidean manifolds. Zbl 1030.58024Wunsch, Jared; Zworski, Maciej 15 2000 Resonance wave expansions: Two hyperbolic examples. Zbl 0955.58024Christiansen, T.; Zworski, M. 8 2000 Erratum: “Breit-Wigner approximation and the distribution of resonances”. Zbl 1046.81551Petkov, Vesselin; Zworski, Maciej 2 2000 Resonances in physics and geometry. Zbl 1177.58021Zworski, Maciej 44 1999 Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Zbl 1016.58014Zworski, Maciej 26 1999 Asymptotic distribution of resonances for convex obstacles. Zbl 0989.35099Sjöstrand, Johannes; Zworski, Maciej 23 1999 Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004Petkov, Vesselin; Zworski, Maciej 19 1999 The wave trace for Riemann surfaces. Zbl 0947.58022Guillopé, Laurent; Zworski, Maciej 19 1999 Spacing between phase shifts in a simple scattering problem. Zbl 0946.47006Zelditch, Steve; Zworski, Maciej 5 1999 Resonant rigidity of \(S^2\). Zbl 0954.35125Hassell, Andrew; Zworski, Maciej 2 1999 From quasimodes to resonances. Zbl 0913.35101Tang, Siu-Hung; Zworski, Maciej 43 1998 Poisson formula for resonances in even dimensions. Zbl 0932.47004Zworski, Maciej 17 1998 Distribution of resonances for spherical black holes. Zbl 0883.35120Sá Barreto, Antônio; Zworski, Maciej 51 1997 Scattering asymptotics for Riemann surfaces. Zbl 0898.58054Guillopé, Laurent; Zworski, Maciej 49 1997 Poisson formulae for resonances. Zbl 1255.35084Zworski, Maciej 7 1997 Scattering metrics and geodesic flow at infinity. Zbl 0855.58058Melrose, Richard; Zworski, Maciej 49 1996 Ergodicity of eigenfunctions for ergodic billiards. Zbl 0840.58048Zelditch, Steven; Zworski, Maciej 43 1996 Existence of resonances in potential scattering. Zbl 0877.35087Sá Barreto, Antônio; Zworski, Maciej 20 1996 Density of resonances for strictly convex analytic obstacles. With an appendix by M. Zworski. Zbl 0863.35072Sjöstrand, Johannes 14 1996 Semi-linear diffraction of conormal waves. Zbl 0902.35004Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej 9 1996 Harmonic functions of polynomial growth on certain complete manifolds. Zbl 0881.58018Christiansen, T.; Zworski, M. 2 1996 Upper bounds on the number of resonances for non-compact Riemann surfaces. Zbl 0841.58063Guillopé, Laurent; Zworski, Maciej 37 1995 Polynomial bounds on the number of resonances for some complete spaces of constant negative curvature near infinity. Zbl 0859.58028Guillopé, Laurent; Zworski, Maciej 28 1995 Spectral asymptotics for manifolds with cylindrical ends. Zbl 0818.58046Christiansen, Tanya; Zworski, Maciej 16 1995 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,324 Authors 51 Zworski, Maciej 35 Vasy, András 33 Sjöstrand, Johannes 31 Guillarmou, Colin 30 Galkowski, Jeffrey 26 Hassell, Andrew 25 Wunsch, Jared 24 Dyatlov, Semyon 22 Gover, Ashwin Rod 21 Korotyaev, Evgeny L. 20 Spence, Euan A. 19 Burq, Nicolas 19 Zelditch, Steve 18 Vodev, Georgi 17 Datchev, Kiril R. 17 Rivière, Gabriel 16 Sá Barreto, Antônio 15 Christiansen, Tanya J. 14 Bony, Jean-François 14 Toth, John Andrew 12 Christianson, Hans 12 Macià, Fabricio 12 Stefanov, Plamen D. 12 Weich, Tobias 11 Fujiié, Setsuro 11 Hitrik, Michael 11 Iantchenko, Alexei 11 Marzuola, Jeremy Louis 11 Sire, Yannick 10 Canzani, Yaiza 10 Drouot, Alexis 10 González, María del Mar 10 Hintz, Peter 10 Nonnenmacher, Stéphane 10 Royer, Julien 10 Vögel, Martin 9 Faure, Frédéric 9 Jin, Long 9 Petkov, Vesselin M. 9 Tacy, Melissa 8 Borthwick, David 8 Case, Jeffrey S. 8 Chang, Sun-Yung Alice 8 Fermanian-Kammerer, Clotilde 8 Juhl, Andreas 8 Naud, Frédéric 8 Pravda-Starov, Karel 8 Ramond, Thierry 8 Sogge, Christopher D. 8 Uhlmann, Gunther Alberto 8 Vũ Ngọc, San 7 Bruneau, Vincent 7 Chtioui, Hichem 7 Dimassi, Mouez 7 Helffer, Bernard 7 Hezari, Hamid 7 Ingremeau, Maxime 7 Jakobson, Dmitry 7 Lafontaine, David 7 Perry, Peter A. 7 Smith, Hart F. 7 Sun, Chenmin 7 Xiong, Jingang 7 Zerzeri, Maher 6 Ammari, Habib M. 6 Angulo Pava, Jaime 6 Baskin, Dean 6 Carles, Rémi 6 Gannot, Oran 6 Gell-Redman, Jesse 6 Häfner, Dietrich 6 Isozaki, Hiroshi 6 Kim, Seunghyeok 6 Lassas, Matti J. 6 Laurent, Camille 6 Léautaud, Matthieu 6 Muñoz, Claudio 6 Nier, Francis 6 Siegl, Petr 6 Simon, Barry 6 Strohmaier, Alexander 6 Wang, Yiran 6 Zuazua, Enrique 5 Blair, Matthew D. 5 Bonthonneau, Yannick Guedes 5 Bouclet, Jean-Marc 5 Cekić, Mihajlo 5 Chen, Lung-Hui 5 Cuccagna, Scipio 5 Cuenin, Jean-Claude 5 Delarue, Benjamin 5 Eswarathasan, Suresh 5 Gerard, Patrick 5 Hager, Mildred 5 Hilgert, Joachim 5 Hillairet, Luc 5 Holmer, Justin 5 Jin, Tianling 5 Joshi, Mark S. 5 Kurylëv, Yaroslav Vadimovich ...and 1,224 more Authors all top 5 Cited in 234 Serials 124 Communications in Mathematical Physics 78 Journal of Functional Analysis 72 Communications in Partial Differential Equations 65 Annales Henri Poincaré 51 Journal of Mathematical Physics 38 Advances in Mathematics 38 Journal of Differential Equations 36 Annales de l’Institut Fourier 33 Journal of Spectral Theory 32 Duke Mathematical Journal 32 SIAM Journal on Mathematical Analysis 28 Transactions of the American Mathematical Society 28 The Journal of Geometric Analysis 26 Proceedings of the American Mathematical Society 19 Inventiones Mathematicae 19 Pure and Applied Analysis 17 Letters in Mathematical Physics 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Journal of Mathematical Analysis and Applications 14 Nonlinearity 14 Mathematische Annalen 14 Analysis & PDE 13 Archive for Rational Mechanics and Analysis 13 Reviews in Mathematical Physics 12 Journal of Computational Physics 12 Journal of the European Mathematical Society (JEMS) 11 Journal of High Energy Physics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Geometric and Functional Analysis. GAFA 10 Calculus of Variations and Partial Differential Equations 10 Journal of the Institute of Mathematics of Jussieu 10 Annales Henri Lebesgue 9 Journal d’Analyse Mathématique 9 Journal of the American Mathematical Society 9 Annales de l’Institut Henri Poincaré. Physique Théorique 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Annals of Mathematics. Second Series 9 Séminaire Laurent Schwartz. EDP et Applications 8 Inverse Problems 8 Discrete and Continuous Dynamical Systems 8 Communications in Contemporary Mathematics 7 Journal für die Reine und Angewandte Mathematik 7 Mathematische Zeitschrift 6 Journal of Statistical Physics 6 Numerische Mathematik 6 Ergodic Theory and Dynamical Systems 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Physica D 6 Asymptotic Analysis 6 SIAM Journal on Applied Mathematics 6 Bulletin of the American Mathematical Society. New Series 6 The Journal of Fourier Analysis and Applications 6 Journal of Hyperbolic Differential Equations 6 Journal de l’École Polytechnique – Mathématiques 5 Classical and Quantum Gravity 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Acta Mathematica 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Integral Equations and Operator Theory 5 Mathematische Nachrichten 5 Memoirs of the American Mathematical Society 5 Pacific Journal of Mathematics 5 Annals of Global Analysis and Geometry 5 Revista Matemática Iberoamericana 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Oberwolfach Reports 5 Complex Variables and Elliptic Equations 5 Journal of Physics A: Mathematical and Theoretical 4 Communications on Pure and Applied Mathematics 4 Journal of Geometry and Physics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Computational and Applied Mathematics 4 Journal of Differential Geometry 4 SIAM Journal on Control and Optimization 4 Chinese Annals of Mathematics. Series B 4 Differential Geometry and its Applications 4 Annals of Physics 4 Indagationes Mathematicae. New Series 4 Russian Journal of Mathematical Physics 4 Applied and Computational Harmonic Analysis 4 Communications on Pure and Applied Analysis 4 Inverse Problems and Imaging 4 Journal of Pseudo-Differential Operators and Applications 4 Bulletin of Mathematical Sciences 4 Probability and Mathematical Physics 3 Applicable Analysis 3 Israel Journal of Mathematics 3 Arkiv för Matematik 3 Mathematics of Computation 3 Bulletin de la Société Mathématique de France 3 Functional Analysis and its Applications 3 Indiana University Mathematics Journal 3 Journal of the London Mathematical Society. Second Series 3 Proceedings of the London Mathematical Society. Third Series 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 SIAM Review 3 St. Petersburg Mathematical Journal 3 Selecta Mathematica. New Series ...and 134 more Serials all top 5 Cited in 56 Fields 981 Partial differential equations (35-XX) 400 Global analysis, analysis on manifolds (58-XX) 391 Quantum theory (81-XX) 281 Operator theory (47-XX) 191 Differential geometry (53-XX) 180 Dynamical systems and ergodic theory (37-XX) 83 Relativity and gravitational theory (83-XX) 74 Ordinary differential equations (34-XX) 63 Numerical analysis (65-XX) 55 Systems theory; control (93-XX) 51 Optics, electromagnetic theory (78-XX) 49 Number theory (11-XX) 45 Statistical mechanics, structure of matter (82-XX) 44 Functional analysis (46-XX) 35 Probability theory and stochastic processes (60-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 29 Several complex variables and analytic spaces (32-XX) 29 Fluid mechanics (76-XX) 21 Functions of a complex variable (30-XX) 20 Mechanics of deformable solids (74-XX) 19 Topological groups, Lie groups (22-XX) 19 Mechanics of particles and systems (70-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Measure and integration (28-XX) 13 Special functions (33-XX) 13 Abstract harmonic analysis (43-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Integral transforms, operational calculus (44-XX) 12 Manifolds and cell complexes (57-XX) 10 Algebraic geometry (14-XX) 10 Potential theory (31-XX) 10 Information and communication theory, circuits (94-XX) 9 Combinatorics (05-XX) 6 History and biography (01-XX) 6 Real functions (26-XX) 6 Approximations and expansions (41-XX) 6 Integral equations (45-XX) 6 Geophysics (86-XX) 5 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 5 Geometry (51-XX) 5 Astronomy and astrophysics (85-XX) 4 Difference and functional equations (39-XX) 3 Commutative algebra (13-XX) 3 General topology (54-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-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 Algebraic topology (55-XX) 2 Statistics (62-XX) 1 Category theory; homological algebra (18-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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