44 citations · 68 across the 7 of their papers we have counts for
8 papers
Directed Polymers in Complex-Valued Random Environments on the Tree
Leonardo Medina-Espinosa, Gregorio R. Moreno Flores
We consider a model of directed polymers on regular trees with complex-valued random weights introduced by Cook and Derrida [CD90] and studied mathematically by Derrida, Evans and…
One-dimensional Discrete Dirac Operators in a Decaying Random Potential II: Clock, Schrödinger and Sine statistics
Gregorio R. Moreno Flores, Amal Taarabt
We consider one-dimensional discrete Dirac models in vanishing random environments. In a previous work [6], we showed that these models exhibit a rich phase diagram in terms of the…
Scaling limit of stationary coupled Sasamoto-Spohn models
Ian Butelmann, Gregorio R. Moreno Flores
We introduce a family of stationary coupled Sasamoto-Spohn models and show that, in the weakly asymmetric regime, they converge to the energy solution of coupled Burgers equations.…
Fluctuation exponents for directed polymers in the intermediate disorder regime
Gregorio R. Moreno Flores, Timo Seppäläinen, Benedek Valkó
We compute the fluctuation exponents for a solvable model of one-dimensional directed polymers in random environment in the intermediate regime. This regime corresponds to taking t…
On the (strict) positivity of solutions of the stochastic heat equation
Gregorio R. Moreno Flores
We give a new proof of the fact that the solutions of the stochastic heat equation, started with non-negative initial conditions, are strictly positive at positive times. The proof…
Edge scaling of the β-Jacobi ensemble
Diane Holcomb, Gregorio R. Moreno Flores
We study the scaling limit of the spectrum of the β-Jacobi ensemble at the soft-edge and hard-edge for general values of β. We show that the limiting point processes correspond res…
Endpoint distribution of directed polymers in 1+1 dimensions
Gregorio Moreno Flores, Jeremy Quastel, Daniel Remenik
We give an explicit formula for the joint density of the max and argmax of the Airy process minus a parabola. The argmax has a universal distribution which governs the rescaled…
Asymmetric directed polymers in random environments
Gregorio R. Moreno Flores
The model of Brownian Percolation has been introduced as an approximation of discrete last-passage percolation models close to the axis. It allowed to compute some explicit limits…