The subject of this paper is the evolution of Brownian particles in disordered environments.
The “Ariadne's clew” we follow is understanding of the general statistical mechanisms which …

… | β ( ∏ i = 1 N d ν i ) ( d Ω ) , where the Vandermonde determinant ( ∏ | ν i − ν j | β )comes
from the change of variables (from the M i j to the ν i and Ω i j ). This representation is extremely …

… We thank Claude Godrèche, who edited the French version of this book, for his friendly
advice and support Finally, J.-PB wants to thank Elisabeth Bouchaud for sharing so many far …

We discuss the applications of Random Matrix Theory in the context of financial markets
and econometric models, a topic about which a considerable number of papers have been …

We consider materials whose mechanical integrity is the result of a jamming process. We
argue that such media are generically “fragile,” unable to support certain types of incremental …

… & Finance, a research company in Paris founded by J.-P. … Jean-Philippe Bouchaud and
Marc Potters have been … As most economists, Bouchaud and Potters believe that models in …

We show that results from the theory of random matrices are potentially of great interest to
understand the statistical structure of the empirical correlation matrices appearing in the study …

We present a phenomenological model for the dynamics of disordered (complex) systems.
We postulate that the lifetimes of the many metastable states are distributed according to a …

… For any pair of agents i and j, let pij be the probability that i and j are linked together. Again,
to simplify, we assume that pij = p is independent of i and j: all links are equally probable. …

Understanding glass formation is a challenge, because the existence of a true glass state,
distinct from liquid and solid, remains elusive: Glasses are liquids that have become too …