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math.PR2026
Aging in a spin glass with logarithmic correlations
Aser Cortines, Oren Louidor, Heng Ma +1
We consider a continuous-time random walk on the discrete two dimensional box, driven by the discrete Gaussian Free Field (DGFF) acting as potential: When at a vertex, the walk wai…
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
Second Order Asymptotics for the Hard Wall Probability of the 2D Harmonic Crystal
Maximilian Fels, Oren Louidor, Tianqi Wu
We estimate the probability that the discrete Gaussian free field on a planar domain with Dirichlet boundary conditions stays positive in the bulk. Improving upon the result by Bol…