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E. Bogomolny 1, O. Giraud 1, C. Schmit 1 Nonlinearity 24 (2011) 3179-3213 We propose new classes of random matrix ensembles whose statistical properties are intermediate between statistics of Wigner-Dyson random matrices and Poisson statistics. The construction is based on integrable N-body classical systems with a random distribution of momenta and coordinates of the particles. The Lax matrices of these systems […]

O. Bohigas 1, M. P. Pato 2 Physical Review E 84 (2011) 031121 Using the simple procedure, recently introduced, of dividing Gaussian matrices by a positive random variable, a family of random matrices is generated characterized by a behavior ruled by the generalized hyperbolic distribution. The spectral density evolves from the semi-circle law to a Gaussian-like behavior while concomitantly

Satya N. Majumdar 1, Céline Nadal 1, Antonello Scardicchio 2, 3, Pierpaolo Vivo 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 83 (2011) 041105 We study the probability distribution of the index ${\mathcal N}_+$, i.e., the number of positive eigenvalues of an $N\times N$ Gaussian random matrix. We show analytically that, for large $N$ and large $\mathcal{N}_+$ with the fraction $0\le c=\mathcal{N}_+/N\le

Th. Jolicoeur 1, Jean-Gabriel Luque 2 Journal of Physics A Mathematical and Theoretical, 44 (2011) 055204 Fractional quantum Hall states of particles in the lowest Landau levels are described by multivariate polynomials. The incompressible liquid states when described on a sphere are fully invariant under the rotation group. Excited quasiparticle/quasihole states are member of multiplets under the rotation group

Mezard, M., Toninelli, C. IEEE Transactions on Information Theory57 (2011) 1736-1745

Sahand Jamal Rahi 1, 2, Thorsten Emig 3, Robert L. Jaffe 1 Casimir Physics (2011) vol. 834, 129-174 We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed in media other than vacuum, to nonzero temperatures, and to spatial

Giraut, L., Falque, M., Drouaud, J., Pereira, L., Martin, O.C., Mezard, C. PLoS genetics7 (2011) e1002354

Silvio Franz 1, Giorgio Parisi 2, Federico Ricci-Tersenghi 2, Tommaso Rizzo 2 The European Physical Journal E 34 (2011) 102 We develop a field-theoretical description of dynamical heterogeneities and fluctuations in supercooled liquids close to the (avoided) MCT singularity. Using quasi-equilibrium arguments we eliminate time from the description and we completely characterize fluctuations in the beta regime. We identify different sources of fluctuations

Giuliano Orso 1, Evgeni Burovski 2, Thierry Jolicoeur 2 Comptes Rendus Physique 12 (2011) 39-46 We investigate the formation of three-body bound states (trimers) in two-component Fermi gases confined in one dimensional optical lattice with spin-dependent tunneling rates. The binding energy and the effective mass of the trimer are obtained from the solution of the Mattis integral equation generalized to the

Michele Castellana 1, 2, Aurelien Decelle 1, Elia Zarinelli 1 Physical Review Letters 107 (2011) 275701 We study the probability distribution of the pseudo-critical temperature in a mean-field and in a short-range spin-glass model: the Sherrington-Kirkpatrick (SK) and the Edwards-Anderson (EA) model. In both cases, we put in evidence the underlying connection between the fluctuations of the pseudo-critical point and and the