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math.PR2023
Rate of escape of the conditioned two-dimensional simple random walk
Orphée Collin, Serguei Popov
We prove sharp asymptotic estimates for the rate of escape of the two-dimensional simple random walk conditioned to avoid a fixed finite set. We derive it from asymptotics availabl…
math.PR2023★ 2 cited
Infinite disorder renormalization fixed point for the continuum random field Ising chain
Orphée Collin, Giambattista Giacomin, Yueyun Hu
We consider the continuum version of the random field Ising model in one dimension: this model arises naturally as weak disorder scaling limit of the original Ising model. Like for…