## Faure, Frédéric

Compute Distance To:
 Author ID: faure.frederic Published as: Faure, Frédéric; Faure, F. External Links: ResearchGate
 Documents Indexed: 30 Publications since 1993, including 1 Book Co-Authors: 18 Co-Authors with 22 Joint Publications 301 Co-Co-Authors
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### Co-Authors

 8 single-authored 5 Tsujii, Masato 4 Zhilinskií, Boris I. 3 Weich, Tobias 2 Guillarmou, Colin 2 Nonnenmacher, Stéphane 2 Roy, Nicolas David 2 Sjöstrand, Johannes 1 Arnoldi, Jean-François 1 Barkhofen, S. 1 Bergheau, Jean-Michel 1 De Bièvre, Stephan 1 Dyatlov, Semyon 1 Gouëzel, Sébastien 1 Hansen, M. S. 1 Lanneau, Erwan 1 Leblond, Jean-Baptiste 1 Parisse, Bernard 1 Souloumiac, Bruno
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### Serials

 4 Communications in Mathematical Physics 3 Nonlinearity 3 Journal of Physics A: Mathematical and General 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Annales de l’Institut Fourier 1 Inventiones Mathematicae 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 Revue Européenne des Éléments Finis 1 Mathematical Research Letters 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Astérisque 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Modern Dynamics 1 Analysis & PDE 1 The Open Mathematics Journal 1 Journal de l’École Polytechnique – Mathématiques
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### Fields

 22 Quantum theory (81-XX) 17 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Manifolds and cell complexes (57-XX) 1 Topological groups, Lie groups (22-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

24 Publications have been cited 300 times in 147 Documents Cited by Year
Upper bound on the density of Ruelle resonances for Anosov flows. Zbl 1260.37016
Faure, Frédéric; Sjöstrand, Johannes
2011
Scarred eigenstates for quantum cat maps of minimal periods. Zbl 1033.81024
Faure, Frédéric; Nonnenmacher, Stéphane; De Bièvre, Stephan
2003
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances. Zbl 1177.37032
Faure, Frédéric; Roy, Nicolas; Sjöstrand, Johannes
2008
The semiclassical zeta function for geodesic flows on negatively curved manifolds. Zbl 1379.37054
Faure, Frédéric; Tsujii, Masato
2017
Prequantum transfer operator for symplectic Anosov diffeomorphism. Zbl 1417.37012
Faure, Frédéric; Tsujii, Masato
2015
Band structure of the Ruelle spectrum of contact Anosov flows. (Structure en bandes du spectre de Ruelle des flots d’Anosov de contact.) Zbl 1346.37030
Faure, Frédéric; Tsujii, Masato
2013
Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056
Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin
2015
Ruelle-Pollicott resonances for real analytic hyperbolic maps. Zbl 1190.37024
Faure, Frédéric; Roy, Nicolas
2006
On the maximal scarring for quantum cat map eigenstates. Zbl 1071.81044
Faure, Frédéric; Nonnenmacher, Stéphane
2004
Topological properties of the Born-Oppenheimer approximation and implications for the exact spectrum. Zbl 0981.81028
Faure, Frédéric; Zhilinskii, Boris
2001
Semiclassical origin of the spectral gap for transfer operators of a partially expanding map. Zbl 1233.37018
Faure, Frédéric
2011
Prequantum chaos: resonsances of the prequantum cat map. Zbl 1145.81034
Faure, Frédéric
2007
Ruelle spectrum of linear pseudo-Anosov maps. (Spectre de Ruelle des applications pseudo-Anosov linéaires.) Zbl 1421.37011
Faure, Frédéric; Gouëzel, Sébastien; Lanneau, Erwan
2019
Qualitative features of intra-molecular dynamics. What can be learned from symmetry and topology? Zbl 1106.81305
Faure, F.; Zhilinskii, B.
2002
Topologically coupled energy bands in molecules. Zbl 0998.81123
Faure, Frédéric; Zhilinskii, Boris
2002
Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Zbl 1375.37067
Arnoldi, Jean Francois; Faure, Frédéric; Weich, Tobias
2017
Semi-classical formula beyond the Ehrenfest time in quantum chaos. I: Trace formula. Zbl 1145.81035
Faure, Frédéric
2007
Semiclassical approach for the Ruelle-Pollicott spectrum of hyperbolic dynamics. Zbl 1352.37062
Faure, Frédéric; Tsujii, Masato
2014
Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Zbl 1295.81077
Barkhofen, S.; Faure, F.; Weich, T.
2014
Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension $$3$$. Zbl 1417.37104
Guillarmou, Colin; Faure, Frédéric
2018
Resonances for geodesic flows on negatively curved manifolds. Zbl 1373.37072
Faure, Frédéric; Tsujii, Masato
2014
Generic description of the degeneracies in Harper-like models. Zbl 0847.58084
Faure, F.
1994
Global normal form and asymptotic spectral gap for open partially expanding maps. Zbl 1394.37039
Faure, Frédéric; Weich, Tobias
2017
Fractional monodromy in systems with coupled angular momenta. Zbl 1138.81014
Hansen, M. S.; Faure, F.; Zhilinskií, B. I.
2007
Ruelle spectrum of linear pseudo-Anosov maps. (Spectre de Ruelle des applications pseudo-Anosov linéaires.) Zbl 1421.37011
Faure, Frédéric; Gouëzel, Sébastien; Lanneau, Erwan
2019
Horocyclic invariance of Ruelle resonant states for contact Anosov flows in dimension $$3$$. Zbl 1417.37104
Guillarmou, Colin; Faure, Frédéric
2018
The semiclassical zeta function for geodesic flows on negatively curved manifolds. Zbl 1379.37054
Faure, Frédéric; Tsujii, Masato
2017
Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Zbl 1375.37067
Arnoldi, Jean Francois; Faure, Frédéric; Weich, Tobias
2017
Global normal form and asymptotic spectral gap for open partially expanding maps. Zbl 1394.37039
Faure, Frédéric; Weich, Tobias
2017
Prequantum transfer operator for symplectic Anosov diffeomorphism. Zbl 1417.37012
Faure, Frédéric; Tsujii, Masato
2015
Power spectrum of the geodesic flow on hyperbolic manifolds. Zbl 1371.37056
Dyatlov, Semyon; Faure, Frédéric; Guillarmou, Colin
2015
Semiclassical approach for the Ruelle-Pollicott spectrum of hyperbolic dynamics. Zbl 1352.37062
Faure, Frédéric; Tsujii, Masato
2014
Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Zbl 1295.81077
Barkhofen, S.; Faure, F.; Weich, T.
2014
Resonances for geodesic flows on negatively curved manifolds. Zbl 1373.37072
Faure, Frédéric; Tsujii, Masato
2014
Band structure of the Ruelle spectrum of contact Anosov flows. (Structure en bandes du spectre de Ruelle des flots d’Anosov de contact.) Zbl 1346.37030
Faure, Frédéric; Tsujii, Masato
2013
Upper bound on the density of Ruelle resonances for Anosov flows. Zbl 1260.37016
Faure, Frédéric; Sjöstrand, Johannes
2011
Semiclassical origin of the spectral gap for transfer operators of a partially expanding map. Zbl 1233.37018
Faure, Frédéric
2011
Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances. Zbl 1177.37032
Faure, Frédéric; Roy, Nicolas; Sjöstrand, Johannes
2008
Prequantum chaos: resonsances of the prequantum cat map. Zbl 1145.81034
Faure, Frédéric
2007
Semi-classical formula beyond the Ehrenfest time in quantum chaos. I: Trace formula. Zbl 1145.81035
Faure, Frédéric
2007
Fractional monodromy in systems with coupled angular momenta. Zbl 1138.81014
Hansen, M. S.; Faure, F.; Zhilinskií, B. I.
2007
Ruelle-Pollicott resonances for real analytic hyperbolic maps. Zbl 1190.37024
Faure, Frédéric; Roy, Nicolas
2006
On the maximal scarring for quantum cat map eigenstates. Zbl 1071.81044
Faure, Frédéric; Nonnenmacher, Stéphane
2004
Scarred eigenstates for quantum cat maps of minimal periods. Zbl 1033.81024
Faure, Frédéric; Nonnenmacher, Stéphane; De Bièvre, Stephan
2003
Qualitative features of intra-molecular dynamics. What can be learned from symmetry and topology? Zbl 1106.81305
Faure, F.; Zhilinskii, B.
2002
Topologically coupled energy bands in molecules. Zbl 0998.81123
Faure, Frédéric; Zhilinskii, Boris
2002
Topological properties of the Born-Oppenheimer approximation and implications for the exact spectrum. Zbl 0981.81028
Faure, Frédéric; Zhilinskii, Boris
2001
Generic description of the degeneracies in Harper-like models. Zbl 0847.58084
Faure, F.
1994
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### Cited by 133 Authors

 12 Dyatlov, Semyon 10 Guillarmou, Colin 10 Weich, Tobias 8 Faure, Frédéric 8 Zhilinskií, Boris I. 7 Liverani, Carlangelo 7 Rivière, Gabriel 6 Iwai, Toshihiro 6 Zworski, Maciej 5 Nonnenmacher, Stéphane 5 Tsujii, Masato 4 Jin, Long 4 Zelditch, Steve 3 Baladi, Viviane 3 Bandtlow, Oscar F. 3 Brooks, Shimon 3 Butterley, Oliver 3 Colin de Verdière, Yves 3 Dang, Nguyen Viet 3 Kelmer, Dubi 3 Küster, Benjamin 3 Lefeuvre, Thibault 3 Vasy, András 2 Anantharaman, Nalini 2 Bonthonneau, Yannick Guedes 2 Cekić, Mihajlo 2 Datchev, Kiril R. 2 Demers, Mark F. 2 Dhont, Guillaume 2 Eswarathasan, Suresh 2 Forni, Giovanni 2 Gell-Redman, Jesse 2 Giulietti, Paolo 2 Hassell, Andrew 2 Hilgert, Joachim 2 Jenkinson, Oliver 2 Keating, Jonathan Peter 2 Kordyukov, Yuri A. 2 Kurlberg, Pär 2 Lanneau, Erwan 2 Olofsson, Rikard 2 Schubert, Roman 2 Shen, Shu 2 Stottmeister, Alexander 2 Tarkhanov, Nikolai N. 2 Thiemann, Thomas 2 Ueberschär, Henrik 1 Anderson, Edward 1 Arnoldi, Jean-François 1 Bahsoun, Wael 1 Barnett, Alex H. 1 Berkolaiko, Gregory 1 Betcke, Timo 1 Boil, Grégory 1 Bolte, Jens 1 Bonechi, Francesco 1 Borthwick, David 1 Chang, Cheng-Hung 1 Chang, Robert Chen-Hao 1 Chen, Jianyu 1 Corvaja, Pietro 1 De Bièvre, Stephan 1 de Simoi, Jacopo 1 Delarue, Benjamin 1 Deleporte, Alix 1 Dimassi, Mouez 1 Dolgopyat, Dmitry 1 Drouot, Alexis 1 Egger, Sebastian 1 Fedosov, Boris Vasil’evich 1 Fujiié, Setsuro 1 Gossart, Luc 1 Gouëzel, Sébastien 1 Gurevich, Shamgar 1 Gutkin, Boris S. 1 Haber, Nick 1 Hadani, Ronny 1 Hadfield, Charles 1 Hezari, Hamid 1 Hu, Huyi 1 Jézéquel, Malo 1 Jørgensen, Palle E. T. 1 Just, Wolfram 1 Keppeler, Stefan 1 Kholodenko, Arkady L. 1 Kiamari, Niloofar 1 Kim, Minsung 1 Knieper, Gerhard 1 Kolb, Martin 1 Krüger, Tyll 1 Landsman, Nicolaas P. 1 Ligabò, Marilena 1 Lindenstrauss, Elon 1 Lopes, Artur Oscar 1 Marklof, Jens 1 Marmi, Stefano 1 Mbacke War, Khadim 1 Mohr, Joana 1 Nakano, Yushi 1 Naud, Frédéric ...and 33 more Authors
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### Cited in 58 Serials

 23 Communications in Mathematical Physics 9 Annales Henri Poincaré 8 Annales de l’Institut Fourier 8 Inventiones Mathematicae 8 Ergodic Theory and Dynamical Systems 6 Nonlinearity 5 Annals of Mathematics. Second Series 5 Journal of the European Mathematical Society (JEMS) 4 Journal of Mathematical Physics 3 Acta Applicandae Mathematicae 3 Journal of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Spectral Theory 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 The Journal of Geometric Analysis 2 Discrete and Continuous Dynamical Systems 2 Journal of the Institute of Mathematics of Jussieu 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Compositio Mathematica 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Revista de la Unión Matemática Argentina 1 Constructive Approximation 1 Sugaku Expositions 1 SIAM Journal on Mathematical Analysis 1 International Journal of Modern Physics D 1 Journal of Mathematical Chemistry 1 Chaos 1 Regular and Chaotic Dynamics 1 Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Fixed Point Theory and Applications 1 Journal of Modern Dynamics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis & PDE 1 Journal of Geometric Mechanics 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Annales Mathématiques du Québec 1 Journal de l’École Polytechnique – Mathématiques 1 Bollettino dell’Unione Matematica Italiana 1 Annales Henri Lebesgue
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### Cited in 32 Fields

 93 Dynamical systems and ergodic theory (37-XX) 60 Quantum theory (81-XX) 54 Global analysis, analysis on manifolds (58-XX) 34 Partial differential equations (35-XX) 31 Differential geometry (53-XX) 16 Operator theory (47-XX) 9 Number theory (11-XX) 8 Probability theory and stochastic processes (60-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-XX) 3 Algebraic geometry (14-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)