5 papers · 1 filter
A universality property for large deviations of RWRE close to the axis
Pablo Groisman, Alejandro F. Ramírez, Santiago Saglietti +1
We establish a general version of the strong KPZ universality conjecture near the axis for random walks in a random environment (RWRE) on . For an i.i.d. elliptic ran…
GUE Fluctuations Near the Axis in One-Sided Ballistic Deposition
Pablo Groisman, Alejandro F. Ramírez, Santiago Saglietti +1
We introduce a variation of the classic ballistic deposition model in which vertically falling blocks can only stick to the top or the upper right corner of growing columns. We est…
On the uniqueness of quasi-stationary distributions for population models with spatial structure
Pablo Groisman, Leonardo T. Rolla, Célio Terra
Subcritical population processes are attracted to extinction and do not have non-trivial stationary distributions, which prompts the study of quasi-stationary distributions (QSDs)…
Rank Dependent Branching-Selection Particle Systems
P. Groisman, N. Soprano-Loto
We consider a large family of branching-selection particle systems. The branching rate of each particle depends on its rank and is given by a function defined on the unit inter…
Small Random Perturbations of a Dynamical System with Blow-up
Pablo Groisman, Santiago Saglietti
We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in fin…