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math.PR2026
A Limit in Law for the Cover Time and Last Visited Vertex of Wired Planar Domains
Oren Louidor, Santiago Saglietti
We derive a scaling limit in law for the cover time of a simple random walk on a lattice version of a scaled-up planar domain with wired boundary conditions. The limiting distribut…
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…