3 papers
math.PR2026
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…
math.PR2024
Tightness for the Cover Time of Wired Planar Domains
Oren Louidor, Santiago Saglietti
We consider a continuous time simple random walk on a subset of the square lattice with wired boundary conditions: the walk transitions at unit edge rate on the graph obtained from…
math.PR2023
A non-oriented first passage percolation model and statistical invariance by time reversal
Alejandro F. Ramírez, Santiago Saglietti, Lingyun Shao
We introduce and study a non-oriented first passage percolation model having a property of statistical invariance by time reversal. This model is defined in a graph having directed…