371 citations · 3.6k across the 151 of their papers we have counts for
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Matching between typical fluctuations and large deviations in disordered systems : application to the statistics of the ground state energy in the SK spin-glass model
Cecile Monthus, Thomas Garel
For the statistics of global observables in disordered systems, we discuss the matching between typical fluctuations and large deviations. We focus on the statistics of the ground…
Eigenvalue method to compute the largest relaxation time of disordered systems
Cecile Monthus, Thomas Garel
We consider the dynamics of finite-size disordered systems as defined by a master equation satisfying detailed balance. The master equation can be mapped onto a Schrödinger equatio…
Statistics of first-passage times in disordered systems using backward master equations and their exact renormalization rules
Cecile Monthus, Thomas Garel
We consider the non-equilibrium dynamics of disordered systems as defined by a master equation involving transition rates between configurations (detailed balance is not assumed).…
Random walk in two-dimensional self-affine random potentials : strong disorder renormalization approach
Cecile Monthus, Thomas Garel
We consider the continuous-time random walk of a particle in a two-dimensional self-affine quenched random potential of Hurst exponent . The corresponding master equation is s…
Statistical properties of two-particle transmission at Anderson transition
Cecile Monthus, Thomas Garel
The ensemble of power-law random banded matrices, where the random hopping decays as a power-law , is known to present an Anderson localizatio…
Symmetry relation for multifractal spectra at random critical points
Cecile Monthus, Bertrand Berche, Christophe Chatelain
Random critical points are generically characterized by multifractal properties. In the field of Anderson localization, Mirlin, Fyodorov, Mildenberger and Evers [Phys. Rev. Lett 97…