## Bony, Jean-François

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 Author ID: bony.jean-francois Published as: Bony, Jean-François; Bony, Jean-Francois; Bony, J.-F. more...less
 Documents Indexed: 43 Publications since 2001, including 1 Book Co-Authors: 19 Co-Authors with 38 Joint Publications 364 Co-Co-Authors
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### Co-Authors

 5 single-authored 13 Ramond, Thierry 9 Fujiié, Setsuro 9 Zerzeri, Maher 8 Häfner, Dietrich 6 Michel, Laurent 5 Bruneau, Vincent 5 Raikov, Georgi D. 4 Petkov, Vesselin M. 2 Alexandrova, Ivana 2 Carles, Rémi 2 Faupin, Jérémy 1 Bercu, Bernard 1 Briet, Philippe 1 Burq, Nicolas 1 Espinoza, Nicolas 1 Hérau, Frédéric 1 Popoff, Nicolas 1 Sigal, Israel Michael 1 Sjöstrand, Johannes
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### Serials

 4 RIMS Kôkyûroku Bessatsu 3 Journal of Functional Analysis 3 Communications in Partial Differential Equations 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Mathematical Physics 2 Annales de l’Institut Fourier 2 Asymptotic Analysis 2 Séminaire Équations aux Dérivées Partielles 2 Annales Henri Poincaré 2 Journal of Spectral Theory 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Mathematical Research Letters 1 Serdica Mathematical Journal 1 Journal of the Institute of Mathematics of Jussieu 1 Cubo 1 Astérisque 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Analysis & PDE
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### Fields

 40 Partial differential equations (35-XX) 28 Quantum theory (81-XX) 19 Operator theory (47-XX) 4 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

35 Publications have been cited 239 times in 173 Documents Cited by Year
Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric. Zbl 1159.35007
Bony, Jean-François; Häfner, Dietrich
2008
The semilinear wave equation on asymptotically Euclidean manifolds. Zbl 1191.35181
Bony, Jean-François; Häfner, Dietrich
2010
Resonances and spectral shift function near the Landau levels. Zbl 1129.35053
Bony, Jean-François; Bruneau, Vincent; Raikov, Georgi
2007
Low frequency resolvent estimates for long range perturbations of the Euclide Laplace. Zbl 1228.35165
Bony, Jean-François; Häfner, Dietrich
2010
Trace formula for resonances in small domains. Zbl 1068.47055
Bony, Jean-François; Sjöstrand, Johannes
2001
Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113
Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael
2012
Counting function of characteristic values and magnetic resonances. Zbl 1288.35057
Bony, Jean-François; Bruneau, Vincent; Raikov, Georgi
2014
Local energy decay for several evolution equations on asymptotically Euclidean manifolds. (Décroissance de l’énergie locale pour un certain nombre d’équations d’évolution sur des variétés asymptotiquement euclidiennes.) Zbl 1263.58008
Bony, Jean-François; Häfner, Dietrich
2012
Microlocalization of resonant states and estimates of the residue of the scattering amplitude. Zbl 1062.35053
Bony, Jean-François; Michel, Laurent
2004
Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2005
Minoration de la résolvante dans le cas captif. (Lower bound on the resolvent for trapped situations.) Zbl 1206.35182
Bony, Jean-François; Burq, Nicolas; Ramond, Thierry
2010
Semiclassical scattering amplitude at the maximum of the potential. Zbl 1163.35004
Alexandrova, Ivana; Bony, Jean-François; Ramond, Thierry
2008
Resonances in domains of size $$h$$. (Résonances dans des domaines de taille $$h$$.) Zbl 1034.35084
Bony, Jean-François
2001
Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED. Zbl 1236.81187
Bony, Jean-François; Faupin, Jérémy
2012
Resolvent estimates and local energy decay for hyperbolic equations. Zbl 1142.35059
Bony, Jean-François; Petkov, Vesselin
2006
Resonances and spectral shift function singularities for magnetic quantum Hamiltonians. Zbl 1301.35074
Bony, Jean-François; Bruneau, Vincent; Raikov, Georgi
2014
Lower bound for the number of resonances generated by a closed trajectory. (Minoration du nombre de résonances engendrées par une trajectoire fermée.) Zbl 1213.35332
Bony, Jean-François
2002
Resonances for homoclinic trapped sets. Zbl 1420.35078
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2018
Resolvent and scattering matrix at the maximum of the potential. Zbl 1199.35269
Alexandrova, Ivana; Bony, Jean-Francois; Ramond, Thierry
2008
Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances. Zbl 1246.35033
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2011
Resonances for non-trapping time-periodic perturbations. Zbl 1137.35399
Bony, Jean-François; Petkov, Vesselin
2004
Semiclassical estimates of the cut-off resolvent for trapping perturbations. Zbl 1290.47013
Bony, Jean-François; Petkov, Vesselin
2013
Microlocal kernel of pseudodifferential operators at a hyperbolic fixed point. Zbl 1157.35127
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2007
Propagation of singularities and resonances. (Propagation des singularités et résonances.) Zbl 1379.35004
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2017
Tunnel effect for semiclassical random walks. Zbl 1325.60067
Bony, Jean-François; Hérau, Frédéric; Michel, Laurent
2015
Barrier-top resonances for non globally analytic potentials. Zbl 1420.35034
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2019
Width of resonances created by homoclinic orbits - isotropic fixed point case. Zbl 1301.35075
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2014
Resonances in small domains near a critical energy. (Résonances dans des petits domaines près d’une énergie critique.) Zbl 1022.81012
Bony, J.-F.
2002
Limit measures for the Helmholtz equation in the non-trapping case. (Mesures limites pour l’équation de Helmholtz dans le cas non captif.) Zbl 1186.35032
Bony, Jean-François
2009
Scattering for the Schrödinger equation with a repulsive potential. (Scattering pour l’équation de Schrödinger en présence d’un potentiel répulsif.) Zbl 1047.35115
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2004
Microlocalization of resonant states and estimates of the residue of the scattering amplitude. Zbl 1060.35016
Bony, Jean-François; Michel, Laurent
2003
Local energy decay for several evolution equations on asymptotically Euclidean manifolds. Zbl 1264.58021
Häfner, Dietrich; Bony, Jean-François
2013
Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case. Zbl 1272.35032
Bony, Jean-François; Häfner, Dietrich
2013
Propagation of microlocal solutions through a hyperbolic fixed point. Zbl 1172.35520
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2008
Large deviations for Gaussian stationary processes and semi-classical analysis. Zbl 1248.60035
Bercu, Bernard; Bony, Jean-François; Bruneau, Vincent
2012
Barrier-top resonances for non globally analytic potentials. Zbl 1420.35034
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2019
Resonances for homoclinic trapped sets. Zbl 1420.35078
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2018
Propagation of singularities and resonances. (Propagation des singularités et résonances.) Zbl 1379.35004
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2017
Tunnel effect for semiclassical random walks. Zbl 1325.60067
Bony, Jean-François; Hérau, Frédéric; Michel, Laurent
2015
Counting function of characteristic values and magnetic resonances. Zbl 1288.35057
Bony, Jean-François; Bruneau, Vincent; Raikov, Georgi
2014
Resonances and spectral shift function singularities for magnetic quantum Hamiltonians. Zbl 1301.35074
Bony, Jean-François; Bruneau, Vincent; Raikov, Georgi
2014
Width of resonances created by homoclinic orbits - isotropic fixed point case. Zbl 1301.35075
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2014
Semiclassical estimates of the cut-off resolvent for trapping perturbations. Zbl 1290.47013
Bony, Jean-François; Petkov, Vesselin
2013
Local energy decay for several evolution equations on asymptotically Euclidean manifolds. Zbl 1264.58021
Häfner, Dietrich; Bony, Jean-François
2013
Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case. Zbl 1272.35032
Bony, Jean-François; Häfner, Dietrich
2013
Maximal velocity of photons in non-relativistic QED. Zbl 1256.81113
Bony, Jean-François; Faupin, Jérémy; Sigal, Israel Michael
2012
Local energy decay for several evolution equations on asymptotically Euclidean manifolds. (Décroissance de l’énergie locale pour un certain nombre d’équations d’évolution sur des variétés asymptotiquement euclidiennes.) Zbl 1263.58008
Bony, Jean-François; Häfner, Dietrich
2012
Resolvent smoothness and local decay at low energies for the standard model of non-relativistic QED. Zbl 1236.81187
Bony, Jean-François; Faupin, Jérémy
2012
Large deviations for Gaussian stationary processes and semi-classical analysis. Zbl 1248.60035
Bercu, Bernard; Bony, Jean-François; Bruneau, Vincent
2012
Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances. Zbl 1246.35033
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2011
The semilinear wave equation on asymptotically Euclidean manifolds. Zbl 1191.35181
Bony, Jean-François; Häfner, Dietrich
2010
Low frequency resolvent estimates for long range perturbations of the Euclide Laplace. Zbl 1228.35165
Bony, Jean-François; Häfner, Dietrich
2010
Minoration de la résolvante dans le cas captif. (Lower bound on the resolvent for trapped situations.) Zbl 1206.35182
Bony, Jean-François; Burq, Nicolas; Ramond, Thierry
2010
Limit measures for the Helmholtz equation in the non-trapping case. (Mesures limites pour l’équation de Helmholtz dans le cas non captif.) Zbl 1186.35032
Bony, Jean-François
2009
Decay and non-decay of the local energy for the wave equation on the De Sitter-Schwarzschild metric. Zbl 1159.35007
Bony, Jean-François; Häfner, Dietrich
2008
Semiclassical scattering amplitude at the maximum of the potential. Zbl 1163.35004
Alexandrova, Ivana; Bony, Jean-François; Ramond, Thierry
2008
Resolvent and scattering matrix at the maximum of the potential. Zbl 1199.35269
Alexandrova, Ivana; Bony, Jean-Francois; Ramond, Thierry
2008
Propagation of microlocal solutions through a hyperbolic fixed point. Zbl 1172.35520
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2008
Resonances and spectral shift function near the Landau levels. Zbl 1129.35053
Bony, Jean-François; Bruneau, Vincent; Raikov, Georgi
2007
Microlocal kernel of pseudodifferential operators at a hyperbolic fixed point. Zbl 1157.35127
Bony, Jean-François; Fujiié, Setsuro; Ramond, Thierry; Zerzeri, Maher
2007
Resolvent estimates and local energy decay for hyperbolic equations. Zbl 1142.35059
Bony, Jean-François; Petkov, Vesselin
2006
Scattering theory for the Schrödinger equation with repulsive potential. Zbl 1082.35130
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2005
Microlocalization of resonant states and estimates of the residue of the scattering amplitude. Zbl 1062.35053
Bony, Jean-François; Michel, Laurent
2004
Resonances for non-trapping time-periodic perturbations. Zbl 1137.35399
Bony, Jean-François; Petkov, Vesselin
2004
Scattering for the Schrödinger equation with a repulsive potential. (Scattering pour l’équation de Schrödinger en présence d’un potentiel répulsif.) Zbl 1047.35115
Bony, Jean-François; Carles, Rémi; Häfner, Dietrich; Michel, Laurent
2004
Microlocalization of resonant states and estimates of the residue of the scattering amplitude. Zbl 1060.35016
Bony, Jean-François; Michel, Laurent
2003
Lower bound for the number of resonances generated by a closed trajectory. (Minoration du nombre de résonances engendrées par une trajectoire fermée.) Zbl 1213.35332
Bony, Jean-François
2002
Resonances in small domains near a critical energy. (Résonances dans des petits domaines près d’une énergie critique.) Zbl 1022.81012
Bony, J.-F.
2002
Trace formula for resonances in small domains. Zbl 1068.47055
Bony, Jean-François; Sjöstrand, Johannes
2001
Resonances in domains of size $$h$$. (Résonances dans des domaines de taille $$h$$.) Zbl 1034.35084
Bony, Jean-François
2001
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### Cited by 161 Authors

 14 Bony, Jean-François 10 Bruneau, Vincent 9 Vasy, András 9 Wang, Chengbo 8 Faupin, Jérémy 8 Petkov, Vesselin M. 8 Sambou, Diomba 7 Zworski, Maciej 6 Dyatlov, Semyon 6 Häfner, Dietrich 6 Metcalfe, Jason L. 6 Ramond, Thierry 6 Royer, Julien 6 Zerzeri, Maher 5 Fujiié, Setsuro 5 Raikov, Georgi D. 5 Sigal, Israel Michael 4 Ballesteros, Miguel 4 Bouclet, Jean-Marc 4 Burq, Nicolas 4 Dafermos, Mihalis 4 Datchev, Kiril R. 4 Deckert, Dirk-André 4 Hänle, Felix 4 Hintz, Peter 4 Holzegel, Gustav 4 Michel, Laurent 4 Soffer, Avraham 4 Tohaneanu, Mihai 3 Besset, Nicolas 3 Costa, João Lopes 3 Dimassi, Mouez 3 Miranda, Pablo L. 3 Rodnianski, Igor 3 Smulevici, Jacques 3 Wunsch, Jared 2 Borichev, Aleksandr Aleksandrovich 2 Chakraborty, Sumanta 2 Georgescu, Vladimir 2 Golénia, Sylvain 2 Guillarmou, Colin 2 Hassell, Andrew 2 Higuchi, Kenta 2 Iantchenko, Alexei 2 Ingremeau, Maxime 2 Ishida, Atsuhide 2 Itakura, Kyohei 2 Kawamoto, Masaki 2 Khochman, Abdallah 2 Laul, Parul 2 Lindblad, Hans 2 Liu, Mengyun 2 Melrose, Richard Burt 2 Natário, José 2 Popoff, Nicolas 2 Rahman, Mostafizur 2 Sá Barreto, Antônio 2 Schlag, Wilhelm 2 Schubnel, Baptiste 2 Shlapentokh-Rothman, Yakov 2 Sogge, Christopher D. 2 Taarabt, Amal 2 Warnick, Claude M. 2 Yu, Xin 2 Zhang, Junyong 2 Zheng, Jiqiang 1 Alexandrova, Ivana 1 Alho, Artur 1 Alvarez, Benjamin Louis 1 Antoine, Xavier 1 Arbunich, Jack 1 Assal, Marouane 1 Athmouni, Nassim 1 Bachelot, Alain 1 Barbaroux, Jean-Marie 1 Batty, Charles J. K. 1 Behrndt, Jussi 1 Benbernou, Amina Lahmar 1 Besse, Christophe 1 Bourget, Olivier 1 Boussaid, Nabile 1 Cárdenas, Esteban 1 Carles, Rémi 1 Chandler-Wilde, Simon N. 1 Chen, Liangbiao 1 Christiansen, Tanya J. 1 Christianson, Hans 1 Colombini, Ferruccio 1 Donninger, Roland 1 Drouot, Alexis 1 Ducomet, Bernard 1 Duong, Anh Tuan 1 El Aidi, Mohammed 1 Ennaceur, Marwa 1 Exner, Pavel 1 Franzen, Anne T. 1 Fröhlich, Jürg Martin 1 Gajic, Dejan 1 Galkowski, Jeffrey 1 Galstian, Anahit ...and 61 more Authors
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### Cited in 62 Serials

 17 Communications in Mathematical Physics 13 Journal of Functional Analysis 12 Annales Henri Poincaré 9 Communications in Partial Differential Equations 7 Journal of Mathematical Physics 5 Journal of Mathematical Analysis and Applications 5 Reviews in Mathematical Physics 5 Annales de l’Institut Fourier 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Spectral Theory 4 Advances in Mathematics 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Classical and Quantum Gravity 3 Journal of Differential Equations 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Mathematical Analysis 3 Journal of Hyperbolic Differential Equations 3 Analysis & PDE 3 Annals of PDE 2 Communications on Pure and Applied Mathematics 2 Letters in Mathematical Physics 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Asymptotic Analysis 2 The Journal of Geometric Analysis 2 Journal of the Institute of Mathematics of Jussieu 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Reports on Mathematical Physics 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 Annales Mathématiques Blaise Pascal 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Complex Analysis and Operator Theory 1 Kyoto Journal of Mathematics 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Advances in Nonlinear Analysis 1 Séminaire Laurent Schwartz. EDP et Applications 1 AIMS Mathematics 1 Pure and Applied Analysis 1 SN Partial Differential Equations and Applications
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### Cited in 30 Fields

 143 Partial differential equations (35-XX) 79 Quantum theory (81-XX) 51 Relativity and gravitational theory (83-XX) 49 Operator theory (47-XX) 30 Global analysis, analysis on manifolds (58-XX) 5 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Optics, electromagnetic theory (78-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)