Mes publications

Ouvrages :

2 – P. Briet, F. Germinet, G. Raikov editors Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics, volume 500 (2009).

1 – F.Germinet, P. D. Hislop editors Adventures in Mathematical Physics, Contemporary Mathematics, volume 447 (2007).

Articles:

52 – (pdf) F. Germinet, P. Müller, C. Rojas-Molina, Ergodicity and dynamical localization for Delone-Anderson operators, Rev. Math. Phys. 27, 15500201-1-36 (2015)

51 – (pdf) F. Germinet, F. Klopp, Spectral statistics for random Schrödinger operators in the localized regime, J. Europ. Math. Soc. 14, 1967-2031 (2014)

50 – (pdf) F. Germinet, A. Taarabt, Spectral properties of dynamical localization for Schrödinger Operators, soumis.

49 – (pdf) F. Germinet, F. Klopp, Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges, Ann. Henri Poincaré 5, 1263-1285 (2013)

48 – (pdf) F. Germinet, A. Klein, A comprehensive proof of localization for continuous Anderson models with singular random potentials, J. Europ. Math. Soc. 13, 53-143 (2013)

47 – F. Germinet, C. Rojas Molina, Dynamical mobility edge for various random Landau Hamil- tonians, RIMS Kôkyûroku Bessatsu B27, 25-34 (2011).

46 – F. Germinet, F. Klopp, Spectral statistics for the discrete Anderson model in the localized regime, RIMS Kôkyûroku Bessatsu B27, 11-24 (2011).

45 – J.M. Combes, F. Germinet, A. Klein, Lifshitz tails estimate for the density of states of the Anderson model, RIMS Kôkyûroku Bessatsu B27, 1-9 (2011).

44 – N. Dombrowski, F. Germinet, G. Raikov, Quantization of edge currents along magnetic barriers and magnetic guides, Ann. Henri Poincaré, 12, 1169-1197 (2011).

43 – N. Dombrowski, F. Germinet, G. Raikov, Splitting of the Landau levels by magnetic per- turbations and Anderson transition in 2D-random magnetic media, J. Phys. A: Math. gen, 43 474017 (2010).

42 – J.M. Combes, F. Germinet, P. Hislop, Conductivity and the Current-Current Correlation Measure, J. Phys. A: Math gen, 43 474010 (2010).

41 – F. Germinet, A. Klein, J. Schenker, Quantization of the Hall conductance and delocalization in ergodic Landau Hamiltonians, Rev. Math. Phys 21, 1045-1080 (2009).

40 – J.M. Combes, F. Germinet, A. Klein, Poisson Statistics for Eigenvalues of Continuum Random Schröodinger Operators, Analysis and PDE 3, 49-80 (2010). Erratum en préparation.

39 – F. Germinet, A. Klein, J. Schenker, Quantization of the Hall conductance and delocalization in ergodic Landau Hamiltonians, Rev. Math. Phys 21, 1045-1080 (2009).

38 – F. Germinet, A. Klein, B. Mandy, Delocalization for random Landau Hamiltonians with unbounded random variables, in “Spectral and Scattering Theory for Quantum Magnetic Systems”, 87-100, Contemp. Math. 500, Amer. Math. Soc., Providence, RI, 2009.

37 – (pdf) – J.M. Combes, F. Germinet, A. Klein, Generalized eigenvalue-couting estimates for the Anderson model, J. Stat. Phys. 135, 201-216 (2009).

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

35 – (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).

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

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

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

31 – (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).

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

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

28 – (pdf) F. Germinet, A. Klein, Localization for a continuum Cantor-Anderson Hamiltonian. Contemporary Mathematics, vol 447, 103-112 (2007).

27 – (pdf) F. Germinet, S. Tcheremchantsev, Generalized fractal dimensions on the negative axis for non compactly supported measures. Contemporary Mathematics, vol 447, 113-122 (2007).

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

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

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

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

18 -(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 – (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 – (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 – (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 – (pdf) F. Germinet, A. Klein, Explicit finite volume criteria for localization in continuous random media and applications,Geom. Funct. Anal. 13, 1201-1238 (2003).

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

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

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

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

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

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

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).