publications

Andrea Cavagna 1, Irene Giardina 1, Giorgio Parisi 1, Marc Mézard 2 Journal of Physics A 36 (2003) 1175-1194 We revisit two classic Thouless-Anderson-Palmer (TAP) studies of the Sherrington-Kirkpatrick model [Bray A J and Moore M A 1980 J. Phys. C 13, L469; De Dominicis C and Young A P, 1983 J. Phys. A 16, 2063]. By using the Becchi-Rouet-Stora-Tyutin (BRST) supersymmetry, we […]

Paul Zinn-Justin 1, Jean-Bernard Zuber 2 Journal of Physics A 36 (2003) 3173-3194 The integral over the U(N) unitary group $I=\int DU \exp\Tr A U B U^\dagger$ is reexamined. Various approaches and extensions are first reviewed. The second half of the paper deals with more recent developments: relation with integrable Toda lattice hierarchy, diagrammatic expansion and combinatorics, and on

Steven Tomsovic 1, Denis Ullmo 2, 3, Tatsuro Nagano 1 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 67 (2003) 067201 Within random matrix theory, the statistics of the eigensolutions depend fundamentally on the presence (or absence) of time reversal symmetry. Accepting the Bohigas-Giannoni-Schmit conjecture, this statement extends to quantum systems with chaotic classical analogs. For practical reasons, much of the

Andrea Pagnani 1, Giorgio Parisi 2, Mathieu Ratieville 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 68 (2003) 046706 We present a general technique to compute how the energy of a configuration varies as a function of its overlap with the ground state in the case of optimization problems. Our approach is based on a generalization of the cavity

Andrea Pagnani 1, Giorgio Parisi 2, Mathieu Ratieville 1, 2 Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 67 (2003) 026116 We present a general analytic method to compute the number of metastable configurations as a function of the energy for a system of interacting Ising spins on the Bethe lattice. Our approach is based on the cavity method. We apply

Ribhu K. Kaul 1, Denis Ullmo 1, 2, Harold U. Baranger 1 Physical Review B 68 (2003) 161305 Properties of the Kondo effect in quantum dots depend sensitively on the coupling parameters and so on the realization of the quantum dot — the Kondo temperature itself becomes a mesoscopic quantity. Assuming chaotic dynamics in the dot, we use random matrix theory to calculate the

Jacobsen, J.L., Zinn-Justin, P. Markov Processes and Related Fields 9 (2003) 301-310

Bohigas, O., Navarro, J. Mètode 35 (2003) 72-78

Jacobsen, J.L. Institute of Physics Conference Series 173 (2003) 323-326

Christophe Texier 1, 2, Markus Buttiker 3 Physical Review B 67 (2003) 245410 We consider graphs made of one-dimensional wires connected at vertices and on which may live a scalar potential. We are interested in a scattering situation where the graph is connected to infinite leads. We investigate relations between the scattering matrix and the continuous part of the local