9 papers · 1 filter
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…
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…
Wetting Transition on Trees I: Percolation With Clustering
Aser Cortines, Itamar Harel, Dmitry Ioffe +1
A new ``Percolation with Clustering'' (PWC) model is introduced, where (the probabilities of) site percolation configurations on the leaf set of a binary tree are rewarded exponent…
A Probabilistic Proof for Stable Fluctuations in the Extremal Process of Branching Brownian Motion
Lisa Hartung, Oren Louidor, Tianqi Wu
We give a probabilistic proof for the emergence of the Stable- Law for the random fluctuations of the mass of the extremal process of branching Brownian Motion away from its tip…
Gaussian free field on the tree subject to a hard wall I: Bounds
Maximilian Fels, Lisa Hartung, Oren Louidor
This is the first in a series of two works which study the discrete Gaussian free field on the binary tree when all leaves are conditioned to be positive. In this work, we obtain s…
Gaussian free field on the tree subject to a hard wall II: Asymptotics
Maximilian Fels, Lisa Hartung, Oren Louidor
This is the second in a series of two works which study the discrete Gaussian free field on the binary tree when all leaves are conditioned to be positive. In the first work ("Gaus…