45 citations · 226 across the 20 of their papers we have counts for
4 papers · 1 filter
On the passage properties of the gradual capture of a diffusive particle in the presence of drift
Javier Quetzalcóatl Toledo-Marín, Isaac Pérez Castillo
We investigate a stochastic process consisting of a two-dimensional particle with anisotropic diffusion, mortality rate and a drift velocity, in the presence of an absorbing bounda…
Minimal cooling speed for glass transition in a simple solvable energy landscape model
J. Quetzalcóatl Toledo-Marín, Isaac Pérez Castillo, Gerardo G. Naumis
The minimal cooling speed required to form a glass is obtained for a simple solvable energy landscape model. The model, made from a two-level system modified to include the topolog…
A unified approach for large deviations of bulk and extreme eigenvalues of the Wishart ensemble
Adolfo Camacho Melo, Isaac Pérez Castillo
Within the framework of the Coulomb fluid picture, we present a unified approach to derive the large deviations of bulk and extreme eigenvalues of large Wishart matrices. By analys…
A generalised Airy distribution function for the accumulated area swept by vicious Brownian paths
Isaac Pérez Castillo, Denis Boyer
In this work exact expressions for the distribution function of the accumulated area swept by reunions and meanders of vicious Brownian particles up to time are derived. Th…