Stéphane Nonnenmacher

Publications


Articles dans revues à comité de lecture:

  1. S.N. and S.Eswarathasan Strong Scarring of Logarithmic Quasimodes, Annales de l'Institut Fourier 67 (6), 2307-2347 (2107), arXiv:1507.08371
  2. S.N. and M.Zworski, Decay of correlations for normally hyperbolic trapping, Invent. math. 200(2)  345-438 (2015), arXiv:1302.4483
  3. N. Anantharaman, M. Léautaud, S.N. (appendix), Sharp polynomial decay rates for the damped wave equation on the torus, Anal. PDE 7,
    159-214 (2014), arXiv:1210.6879
  4. G. Rivière, S.N (appendix), Eigenmodes of the damped wave equation and small hyperbolic subsets, Ann. Inst. Fourier  64(3), 1229-1267 (2014),
    arXiv:1202.5123
  5. S. N., J. Sjöstrand and M. Zworski, Fractal Weyl law for open quantum chaotic maps, Ann. Math.,179, 179-251 (2014),
    arXiv:1105.3128
  6. S. N., Spectral problems in open quantum chaos, Nonlinearity 24, R123-R167 (2011), arXiv:1105.2457
  7. S. N. J. Sjöstrand and M. Zworski, From open quantum systems to open quantum maps, Commun. Math. Phys. 304, 1-48 (2011),
    arXiv:1004.3361
  8. S. N. and M. Zworski, Semiclassical resolvent estimates in chaotic scattering, Appl. Math. Res. Express, 2009, abp003 (2009),
    arXiv:0904.2986
  9. J.P. Keating, S. N., M. Novaes and M. Sieber, On the resonance eigenstates of an open quantum baker map, Nonlinearity 21, 2591-2624 (2008), arXiv:0806.1678
  10. S. N., Some open questions in "wave chaos", Nonlinearity  21, T113-T121 (2008), arXiv:0805.4137
  11. S. N. and E. Schenck, Resonance distribution in open quantum chaotic systems, Phys. Rev. E 78, 045202(R) (2008), arXiv:0803.1075
  12. S. N.and M. Zworski, Quantum decay rates in chaotic scattering, Acta Math. 203, 149-233 (2009), arXiv:0706.3242
  13. S. N. and M. Rubin, Resonant eigenstates in quantum chaotic scattering, Nonlinearity 20, 1387-1420 (2007), arXiv:nlin.CD/0608069
  14. N. Anantharaman and S. N., Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold, Ann. Inst. Fourier  57, 2465-2523 (2007), arXiv:math-ph/0610019
  15. N. Anantharaman and S. N., Entropy of Semiclassical Measures of the Walsh-Quantized Baker's Map, Ann. Henri Poincaré 8, 37-74 (2007), arXiv:math-ph/0512052
  16. S. N. and M. Zworski, Fractal Weyl laws in discrete models of chaotic scattering, J. Phys. A 38, 10683-10702 (2005), arXiv:mathph/0506045
  17. S. N. and M. Zworski, Distribution of resonances for open quantum maps, Commun. Math. Phys. 269, 311-365 (2007), arXiv:mathph/0505034
  18. M. Degli Esposti, S. N. and B. Winn, Quantum Variance and Ergodicity for the Baker's map, Commun. Math. Phys. 263, 325-352 (2006), arXiv:math-ph/0412058
  19. A. Fannjiang, S. N. and L. Wolowski, Relaxation time of quantized toral maps, Ann. Henri Poincaré 7, 161-198 (2006), arXiv:mathph/0406055
  20. A. Fannjiang, S. N. and L. Wolowski, Dissipation time and decay of correlations, Nonlinearity 17, 1481-1508 (2004),
    arXiv:math.DS/0311209
  21. F. Faure and S. N., On the Maximal Scarring for Quantum Cat Map Eigenstates, Commun. Math. Phys. 245, 201-214 (2004), arXiv:nlin.CD/0304031
  22. S. N., Spectral properties of noisy classical and quantum propagators, Nonlinearity 16, 1685-1713 (2003), arXiv:nlin.CD/0301014
  23. F. Faure, S. N. and S. De Bièvre, Scarred Eigenstates for Quantum Cat Maps of Minimal Periods, Commun. Math. Phys. 239, 449-492 (2003), arXiv:nlin.CD/0207060
  24. J. Budczies, S. N., Ya. Shnir and M.R. Zirnbauer, (1+1)-dimensional Baryons from the SU(N) Color-Flavor Transformation, Nucl. Phys. B 635, 309-356 (2002), arXiv:hep-lat/0112018
  25. S. N. and M.R. Zirnbauer, Det-Det correlations for quantum maps: Dual pair and saddle-point analyses, J. Math. Phys. 43, 2214-2240 (2002), arXiv:math-ph/0109025
  26. S. N. and A. Voros, Chaotic eigenfunctions in phase space, J. Stat. Phys. 92, 431-518 (1998), arXiv:chao-dyn/9711016
  27. S. N., Crystal properties of eigenstates for quantum cat maps, Nonlinearity 10, 1569-1598 (1997), arXiv:chao-dyn/9701019
  28. S. N. and A. Voros, Eigenstate structures around a hyperbolic point, J. Phys. A, 30, 295{315, (1997), arXiv:chao-dyn/9609002

Actes de colloques (proceedings), séminaires

  1. S.N., Resonances in hyperbolic dynamics, proc. of the ICM 2018, Rio de Janeiro
  2. S.N., Spectral theory of damped quantum chaotic systems, Journées EDP, Biarritz, 6-10 juin 2011,arXiv:1109.0930
  3. S. N., Quantized open chaotic systems, in  P. Exner (Ed), Mathematical Results in Quantum Physics, pp 221-226. World Scientific, 2011. Proceedings of the conference QMath11, Hradec Kralove, 6-10 sept. 2011. arXiv:1011.2557
  4. S. N., Anatomy of quantum chaotic eigenstates, in B. Duplantier, S. N., V. Rivasseau (Eds), Chaos, pp 194-238,  Prog. Math. Phys. vol. 66, Birkhäuser, 2013. arXiv:1005.5598
  5. S. N., Quantum transfer operators and quantum scattering, in Séminaire X-EDP, Exposé no 7, pp 1-18, Ecole Polytechnique, 2009-2010.  arXiv:1001.4073
  6. S. N., Quantum transfer operators and chaotic scattering, in Oberwolfach Reports, 6(4), pp??, 2009. Mini-workshop Spectrum of transfer operators: recent developments and applications, Oberwolfach, 8-14 nov 2009. arXiv:1001.3459
  7. S. N., Entropy of chaotic eigenstates, In D.Jakobson, S.N., I.Polterovich (Eds), Spectrum and Dynamics, CRM Proceedings and Lecture Notes vol. 52, AMS, 2010, pp 194-238. Springer, 2013. Proceedings of the workshop held in Montreal, 7-11 april 2008. arXiv:1004.4964
  8. N. Anantharaman, H. Koch and S. N., Entropy of eigenfunctions, in V.Sidoravicius (Ed), New Trends in Mathematical Physics, pp 1-22, Springer, (2009). Proceedings of the ICMP, Rio de Janeiro, 5-11 Aug. 2006, arXiv:0704.1564
  9. S. N. and M. Zworski, Quantum decay rates in chaotic scattering, in Séminaire X-EDP, Exp. No. 22,Ecole Polytechnique, 2005-2006.
  10. S. N., Fractal Weyl Law for Open Chaotic Maps, in J.Asch and A.Joye (Eds), The Mathematical Physics of Quantum Mechanics, Lecture Notes in Maths 690, pp 435-450, Springer, 2006. Proceedings of QMath9, Giens, 12-16 sept 2004. arXiv:math-ph/0506056
  11. S. N. and Ya. Shnir, The Color-Flavor Transformation of Induced QCD, 5th International Conference Quark confinement and the hadron spectrum, Gargnano, Garda Lake, Italy, 10-14 sept 2002. arXiv:hep-lat/0210002

Articles de vulgarisation

  1. N. Anantharaman and S. N., Vibrations chaotiques et grosses balafres, Gazette des Mathématiciens 119, 16-32 (2009)
  2. N. Anantharaman and S. N., Chaotic vibrations and strong scars, EMS Newsletter, 74, 19-24 (2009), arXiv:1001.3458

Edition d'actes de colloques

  1. B. Duplantier, S. N. and V. Rivasseau (Eds), Chaos, vol. 66 of Prog. Math. Phys. Birkhäuser, 2013. Proceedings of the Poincaré Seminar, Paris, June 2010.
  2. D. Jakobson, S.N. and I. Polterovich (Eds), Spectrum and Dynamics, CRM Proceedings and Lecture Notes vol. 52, American Mathematical Society, 2010. Proceedings of the workshop held in Montreal, 7-11 april 2008.

Thèses,  notes de cours

  1. S. N., Lectures on the spectral theory of damped quantum
    chaotic systems
    , notes de cours de l'école d'été Analyse spectrale des opérateurs non auto-adjoints et applications,
    Rennes, 13-17 juin 2011
  2. S. N., Chaotic dynamical systems, Cours de Physique Théorique, IPhT, Saclay, sept-oct  2009.
  3. S.N., Thèse d'Habilitation à Diriger les Recherches, soutenue le 5 juin 2009 à l'Univ. Paris-sud.
  4. S.N., États propres de systèmes classiquement chaotiques dans l'espace des phases, thèse de doctorat en physique théorique, soutenue à Saclay le 30 janvier 1998. tel-00000855

Retour à la page d'accueil 
Logo
Département de Mathématiques
, Université Paris-Sud, Bât. 425, F-91405 Orsay Cedex ,France