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Frédéric Faure


Article dans une revue24 documents

  • Jean-François Arnoldi, Frédéric Faure, Tobias Weich. Asymptotic spectral gap and Weyl law for Ruelle resonances of open partially expanding maps. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2017, 37 (1), pp.1-58. 〈hal-00787781v2〉
  • Laurent Poincloux, Fabrice Caillol, Christophe Allimant, Erwan Bories, Christian Pesenti, et al.. Long-term outcome of endoscopic ultrasound-guided pelvic abscess drainage: a two-center series. Endoscopy, Thieme Publishing, 2017, 49 (05), pp.484 - 490. 〈10.1055/s-0042-122011〉. 〈hal-01659587〉
  • Frédéric Faure, Tobias Weich. Global Normal Form and Asymptotic Spectral Gap for Open Partially Expanding Maps. Communications in Mathematical Physics, Springer Verlag, 2017, 356 (3), pp.755 - 822. 〈10.1007/S00220-017-3000-0〉. 〈hal-01656370〉
  • Frédéric Faure, Masato Tsujii. The semiclassical zeta function for geodesic flows on negatively curved manifolds. Inventiones Mathematicae, Springer Verlag, 2017, 208 (3), pp.851 - 998. 〈10.1007/s00222-016-0701-5〉. 〈hal-01655862〉
  • Semyon Dyatlov, Frédéric Faure, Colin Guillarmou. Power spectrum of the geodesic flow on hyperbolic manifolds. Analysis & PDE, Mathematical Sciences Publishers, 2015, 8 (4), pp.923 - 1000. 〈10.2140/apde.2015.8.923〉. 〈hal-01655898〉
  • Frédéric Faure, Masato Tsujii. Prequantum transfer operator for symplectic Anosov diffeomorphism. Asterisque, Société Mathématique de France, 2015, 375. 〈hal-00703234v2〉
  • S Barkhofen, Frédéric Faure, T. Weich. Resonance chains in open systems, generalized zeta functions and clustering of the length spectrum. Nonlinearity, IOP Publishing, 2014, 27 (8), pp.1829 - 1858. 〈10.1088/0951-7715/27/8/1829〉. 〈hal-01656346〉
  • Frederic Faure, Nicolas Roy, Johannes Sjöstrand. Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances. Open math journal, 2008, 1, pp.35--81. 〈hal-00383044〉
  • Frederic Faure. Prequantum chaos: Resonances of the prequantum cat map. Journal of modern dynamics, American Institute of Mathematical Sciences, 2007, 1 (2), pp.255-285. 〈hal-00383049〉
  • Frederic Faure. Semi-classical formula beyond the Ehrenfest time in quantum chaos. (I) Trace formula. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2007, 57 (7), pp.2525-2599. 〈hal-00383050〉
  • M S Hansen, Frédéric Faure, B I Zhilinskii. Adiabatically coupled systems and fractional monodromy. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2007, pp.13075-13089. 〈hal-00383057〉
  • Frédéric Faure, Nicolas Roy. Ruelle-Pollicott resonances for real analytic hyperbolic map. Nonlinearity, IOP Publishing, 2006, 19, p. 1233-1252. 〈hal-00383043〉
  • Frédéric Faure. Loss of quantum coherence in a system coupled to a zero-temperature environment. European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2005, 46, pp.519-528. 〈hal-00383052〉
  • Frédéric Faure, Stéphane Nonnenmacher, Stephan De Bievre. Scarred eigenstates for quantum cat maps of minimal periods. Communications in Mathematical Physics, Springer Verlag, 2003, 239, pp.449-492. 〈hal-00383047〉
  • Frederic Faure, Stéphane Nonnenmacher. On the maximal scarring for quantum cat map eigenstates. Communications in Mathematical Physics, Springer Verlag, 2003, 245 (1), pp.201-214. 〈hal-00383048〉
  • Frédéric Faure, B. Zhilinskii. Qualitative features of intra-molecular dynamics. What can be learned from symmetry and topology. Acta Applicandae Mathematicae, Springer Verlag, 2002, pp.265-282. 〈hal-00383055〉
  • Frédéric Faure. Propagating modes in a periodic wave guide in the semi-classical limit. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2002, 35, pp.1339-1356. 〈hal-00383045〉
  • Frederic Faure, Boris Zhilinskii. Topologically coupled energy bands in molecules. Physics Letters A, Elsevier, 2002, 302, pp.242-252. 〈hal-00383056〉
  • Frédéric Faure, B.I Zhilinskii. Topological properties of the Born-Oppenheimer approximation and implications for the exact spectrum. Letters in Mathematical Physics, Springer Verlag, 2001, pp.219-238. 〈hal-00383054〉
  • Frederic Faure. Topological properties of quantum periodic Hamiltonians. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2000, pp.531-555. 〈hal-00383061〉
  • Frederic Faure, Bernard Parisse. Semi-classical study of the Quantum Hall conductivity. Journal of Mathematical Physics, American Institute of Physics (AIP), 2000, pp.62-75. 〈hal-00383060〉
  • Frédéric Faure. Topological Chern indices in molecular spectra. Physical Review Letters, American Physical Society, 2000, 85, pp.960-963. 〈hal-00383053〉
  • Frédéric Faure. Generic description of the degeneracies in Harper like models. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 1994, pp.7519-7532. 〈hal-00383058〉
  • Frédéric Faure. Mécanique quantique sur le tore et dégénérescences dans le spectre. Séminaires d'analyse spectrale de l'Institut Fourier, 1993, pp.vol 11. 〈hal-00383059〉

Communication dans un congrès3 documents

  • Frédéric Faure, Masato Tsujii. Resonances for geodesic flows on negatively curved manifolds.. Jang, Sun Young (ed.) et al.,. International Congress of Mathematicians (ICM), 2014, Séoul, South Korea. Proceedings of the International Congress of Mathematicians (ICM 2014), Vol. III: Invited lectures, 2014. 〈hal-01655918〉
  • Frédéric Faure. Introduction to classical chaos and quantum chaos.. Harinck, Pascale (ed.) et al. Journées mathématiques X-UPS 2014, 2014, Palaiseau, France. Editions de l'Ecole Polytechnique, pp.1-52, Chaos en mécanique quantique. 〈hal-01656304〉
  • Frédéric Faure, Masato Tsujii. Semiclassical approach for the Ruelle-Pollicott spectrum of hyperbolic dynamics.. Dal'Bo F., Peigné M., Sambusetti A. (eds) INdAM workshop ``Geometric, analytic and probabilistic approaches to dynamics in negative curvatrure', 2013, Rome, Italy. Springer, 9, pp.65-135, 2014, INdAM Series. 〈hal-01656339〉

Pré-publication, Document de travail4 documents

  • Frédéric Faure, Malik Mezzadri, Alexandre Ratchov. Analyse et jeu musical en tempérament juste adaptatif. 2015. 〈hal-01119499〉
  • Frédéric Faure, Masato Tsujii. Band structure of the Ruelle spectrum of contact Anosov flows. IF_PREPUB. 12 pages. 2013. 〈hal-00780217v3〉
  • Frédéric Faure, Johannes Sjoestrand. Upper bound on the density of Ruelle resonances for Anosov flows. IF_PREPUB. 57 pages. 2010. 〈hal-00459842〉
  • Frédéric Faure. Semiclassical origin of the spectral gap for transfer operators of partially expanding map. IF_PREPUB. 24 pages. 2009. 〈hal-00368190〉

HDR1 document

  • Frédéric Faure. Aspects topologiques et chaotiques en mécanique quantique. Physique mathématique [math-ph]. Université Joseph-Fourier - Grenoble I, 2006. 〈tel-00383066〉