Groupement GRDE : European Research Group in Mathematics and Quantum Physics

Colloques : voir en bas de page

Thèmes de recherche (Physique mathématique)

Théorie spectrale, Opérateurs de Schrödinger, Transport en milieu inhomogène :

• Questions de  localisation en milieux aléatoires et quasi-périodiques. Transition d'Anderson.
• Dynamique quantique, phénomène d'intermittence, relation entre spectre et dynamique.
• Formule de Kubo, conductivité, effet Hall quantique, courants de bord
• Dimensions multifractales des mesures. Propriétés.

41 - F. Germinet, A. Klein, J. Schenker, Quantization of the Hall conductance and delocalization in ergodic Landau Hamiltonians, soumis.

40 - J.M. Combes, F. Germinet, A. Klein, Poisson Statistics for Eigenvalues of  Continuum  Random Schröodinger Operators, soumis.

39 - F. Germinet, A. Klein, B. Mandy, Delocalization for random Landau Hamiltonians with unbounded random variables, accepté dans Contemporary Mathematics.

38 - (pdf) - J.M. Combes, F. Germinet, A. Klein, Generalized eigenvalue-couting estimates for the Anderson model, to appear in J. Stat. Phys. (2009).

37 - (pdf) L. Bruneau, F. Germinet, On the singularity of random matrices with independent entries, Proc. of AMS, 137, 787-792 (2009).

36 - (dvi, pdf) M. Aizenman, F. Germinet, A. Klein, S. Warzel, On Bernoulli Decompositions for Random Variables, Concentration Bounds, and Spectral Localization. Probability Theory and Related Fields, 143, 219-238 (2009). 

35 - (pdf) N. Dombrowski, F. Germinet, Linear response theory for random Schroedinger operators and noncommutative geometry. Mark. Proc. Rel. Fields, 18, 403-426 (2008).

34 - (pdf) F. Germinet, Recent advances about localization in continuum random Schroedinger operators with an extension to underlying Delone sets, Mathematical Results in Quantum Mechanics, Proceedings of the QMath10 Conference, 2008.

33 - (pdf) F. Germinet, On Bernoulli decomposition of random variables and recent various applications, Séminaire EDP - X 2008.

32 - (dvi, pdf) A. Figotin, F. Germinet, A. Klein, P. Müller, Persistence of Anderson localization in Schrödinger operators with decaying random potentials. Arkiv for Math 45, 15-30 (2007).

31 - (dvi, pdf) F. Germinet, P. Hislop, A. Klein, Localization at low energies for attractive Poisson random Schrödinger operators. CRM Proceedings and Lecture notes, 42 (2007).

30 - (dvi, pdf) F. Germinet, P. Hislop, A. Klein, Localization for Schrödinger operators with Poisson random potential. J. Europ. Math. Soc. 9, 577-607 (2007).

29 - F. Germinet, P. Hislop, (BOOK) Adventures in Mathematical Physics, Contemporary Mathematics, vol 447 (2007).

28 - (pdf) F. Germinet, A. Klein, Localization for a continuum Cantor-Anderson Hamiltonian. Contemporary Mathematics, vol 447 (2007).

27 - (dvi, pdf) F. Germinet, S. Tcheremchantsev, Generalized fractal dimensions on the negative axis for non compactly supported measures. To appear in Contemporary Mathematics, vol 447 (2007).

26 - (dvi, pdf) F. Germinet, A. Klein, J. Schenker, Dynamical delocalization in random Landau Hamiltonians, to appear in Annals Math, 166, 215-244 (2007).

25 - (dvi,pdf) J.-M. Combes, F. Germinet, P. Hislop, On the quantization of Hall currents in presence of disorder, To appear in "Mathematical Physics of Quantum Mechanics", Selected and Refereed Lectures from QMath9, Springer Lecture Notes in Physics, 690, (2006).

24 - (dvi, pdf) F. Germinet, A. Klein, New characterizations of the region of complete localization for random Schrödinger operators, J. Stat. Phys. 122, 73-94 (2006).

23 - (dvi, pdf) F. Germinet, S. Tcheremchantsev, Generalized fractal dimensions on the negative axis for compactly supported measures, Math. Nachrich. 279, 1-28 (2006).

22 - F. Germinet, P. Hislop, A. Klein, On localization for the Schrödinger operator with a random Poisson potential, C.R. Acad. Sci. Paris 341, 525-529 (2005).

21 - (dvi, pdf) J.-M. Bouclet, F. Germinet, A. Klein, J. Schenker, Linear response theory for magnetic Schrödinger operators in disordered media, J. Funct. Anal. 226, 301-372 (2005).

20 - (dvi,pdf) J.-M. Combes, F. Germinet, Edge and Impurity effects on Quantization of Hall Currents, Commun. Math. Phys. 256, 159-180 (2005).

19 -(dvi, ps,  pdf) F. Germinet, A. Klein,   A characterization of the Anderson metal-insulator transport transition, Duke Math. J., 124, no. 2, 309-350 (2004).

18 -(dvi, ps, pdf) F. Germinet, A. Kiselev, S. Tcheremchantsev, Transfer matrices and transport for 1D Schrödinger operators with singular spectrum, Ann. Inst. Fourier. 54, no. 3, 787-830 (2004).

17 - (dvi, ps, pdf) J.-M. Bouclet, F. Germinet, A. Klein, Sub-exponential decay of operator kernels for functions of generalized Schrödinger operators , Proc. Amer. Math. Soc.132, no. 9, 2703-2712 (2004).

16 - (dvi, ps, pdf) F. Germinet, A. Klein, High disorder localization for random Schrödinger operators through explicit finite volume criteria, Mark. Proc. Rel. F. 9, 633-650 (2003).

15 - (dvi, ps, pdf) F. Germinet, A. Klein,   The Anderson metal-insulator transport transition, Contemp. Math.  vol 339, Waves in periodic and random media, P. Kuchment, ed., p. 57, 2003.

14 - (dvi,  ps,  pdf) F. Germinet, A. Klein,Explicit finite volume criteria for localization in continuous random media and applications,Geom. Funct. Anal. 13, 1201-1238 (2003) (page GAFA article)

13 -   F. Germinet, Quantum Dynamics and generalized fractal dimensions: an introduction, Seminar: Equations aux Dériv\'ees Partielles, 2002-2003, Exp. No. XVIII, 14 pp., Ecole Polytech., Palaiseau, 2003.

12 - (dvi, ps, pdf) F. Germinet, A. Klein,   Operator kernel estimates for  functions of generalized Schrödinger  operators, Proc. Amer. Math. Soc. 131, 911-920 (2003).

11 - (dvi, ps, pdf) F. Germinet, A. Klein,   Bootstrap Multiscale Analysis and Localization in Random Media, Commun. Math. Phys. 222, 415-448 (2001). (page CMP article)

10 - (dvi, ps, pdf) J-M. Barbaroux , F. Germinet, S. Tcheremchantsev, Generalized fractal dimensions: equivalence and basic properties, J. Math. Pure et Appl. 80, 977-1012 (2001)

9 - (dvi, ps, pdf) F. Germinet, S. Jitomirskaya, Strong Dynamical Localization for the almost Mathieu  model,  Rev. Math. Phys. 13, 755-765 (2001).

8 - (dvi, ps, pdf) J-M. Barbaroux , F. Germinet, S. Tcheremchantsev, Fractal Dimensions and the Phenomenon of Intermittency in Quantum Dynamics, Duke Math. J. 110, 161-193 (2001)

7 - (dvi, ps, pdf) J-M. Barbaroux , F. Germinet, S. Tcheremchantsev,  Quantum diffusion and generalized fractal dimensions: the L^2(\R^d) case. Actes des journées EDP de Nantes (2000).

6 -  J-M. Barbaroux, F. Germinet, S. Tcheremchantsev, Nonlinear variation of diffusion exponents in quantum dynamics, C.R. Acad. Sci. Paris, 330, sÉrie I, 409-414 (2000).

5 - (dvi,ps, pdf) S. De Bièvre, F. Germinet, Dynamical Localization for the Random Dimer Model, J. Stat. Phys. 98, 1135-1148 (2000).

4 - F. Germinet, Dynamical Localization for Random Schrödinger Operators and an Application to the Almost Mathieu Operator, Operator Theory: Advances and Applications 108, Birkhaüser (1999).

3 - (dvi, ps, pdf) F. Germinet, Dynamical Localization II with an Application to the Almost Mathieu Operator, J. Stat. Phys. 95, 273-286 (1999).

2 - (dvi, ps, pdf) F. Germinet, S. De Bièvre, Dynamical Localization for Discrete and Continuous Random Schrödinger Operators, Commun. Math. Phys. 194, 323-342 (1998). (page CMP article)

1- F. Germinet, S. De Bièvre, Localisation dynamique pour des opérateurs de Schrödinger aléatoires, C.R. Acad. Sci. Paris 326, série I, 261-264 (1998).

Quelques colloques

2008 Semestre thématique 2008 à Cergy-Pontoise, Systèmes quantiques / systèmes complexes
2006 (septembre), Cergy-Pontoise : Transport and Spectral Problems in Quantum Mechanics:
 A Conference in Honor of Jean-Michel Combes.
2006 (6-13 Aout), Rio de Janerio: International Congress on Mathematical Physics - ICMP
2006 (juillet-août), Santiago (Chili) : Analysis and probability in quantum physics.
2006 (Mai), IHP, Paris : Trimester Phenomena in High Dimensions,  Asymptotic problems of Analysis, Mathematical Physics and Combinatorics.
2006 (Mars), Lexington : Transport Properties of Random Schrodinger Operators.

2005 (11/12 novembre) Aalborg, Danemark : Quantum Transport and Excitations from Macro to Nanoscale:
 Theory and Applications
2005 (3-7 octobre), Marseille, CIRM : Semi-groupes d'opérateurs, équations d'évolution et théorie spectrale en physique mathématique
2005 (17-22 septembre), Banff : Order, Disorder, and Transport: Recent Advances in Schrodinger Operator Theory
2005 (27 juin - 1 juillet), Montreal : "Probabilité et Physique mathématique", conférence soulignant le 65e anniversaire de Stanislav Molchanov

2004 (12-16 septembre), Giens : Qmath9.
2004 (6-8 septembre),  Nancy : Journées MAS de la SMAI
2004 (26-30 juillet), Montreal : Workshop on Spectral Theory of Schrodinger Operators.

2003 (23-25 juin), Lille 1 : Transport in quantum systems.
2003 (24-28 mars), CIRM (Marseille) : Mecanique statistique hors equilibre et systemes ouverts
2003 (8-10 janvier), Nantes : Journées semi-classiques 2003

2002 (28-30 janvier), Bordeaux : Colloque Mathématiques et Physique Quantique 2002 (ex Journées semi-classiques)
 
 

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