3 papers
math.PR2026
A universality property for large deviations of RWRE close to the axis
Pablo Groisman, Alejandro F. RamÃrez, 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.PR2025
GUE Fluctuations Near the Axis in One-Sided Ballistic Deposition
Pablo Groisman, Alejandro F. RamÃrez, 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…
math.PR2024
Large deviations at the origin of random walk in random environment
Alexander Drewitz, Alejandro F. RamÃrez, Santiago Saglietti +1
We consider a random walk in an i.i.d. random environment on Zd and study properties of its large deviation rate function at the origin. It was proved by Comets, Gantert and Zeitou…