Gregorio R. Moreno Flores

collaborators

3 papers

math-ph2020

One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics

Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt

We study the spectrum and dynamics of a one-dimensional discrete Dirac operator in a random potential obtained by damping an i.i.d. environment with an envelope of type $n^{- α}$ fo…

math-ph2020

Dynamical Localization for the One-dimensional Continuum Anderson Model in a Decaying Random Potential

Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt

We consider a one-dimensional continuum Anderson model where the potential decays in average like $∣ x ∣^{- α}$ , $α > 0$ . We show dynamical localization for $0 < α < \frac{1}{2}$ and provide co…

math.PR2017

Random polymers on the complete graph

Francis Comets, Gregorio R. Moreno Flores, Alejandro F. Ramirez

Consider directed polymers in a random environment on the complete graph of size $N$ . This model can be formulated as a product of i.i.d. $N \times N$ random matrices and its large…