2 papers
math-ph2020
One-dimensional Discrete Anderson Model in a Decaying Random Potential: from a.c. Spectrum to Dynamical Localization
Olivier Bourget, Gregorio R. Moreno Flores, Amal Taarabt
We consider a one-dimensional Anderson model where the potential decays in average like , . This simple model is known to display a rich phase diagram with different k…
math.PR2019
Stationary Directed Polymers and Energy Solutions of the Burgers Equation
Milton Jara, Gregorio R. Moreno Flores
We consider the stationary O'Connell-Yor model of semi-discrete directed polymers in a Brownian environment in the intermediate disorder regime and show convergence of the incremen…