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math.PR2023
Exact cube-root fluctuations in an area-constrained random walk model
Lucas D'Alimonte, Romain Panis
This article is devoted to the study of the behaviour of a (1+1)-dimensional model of random walk conditioned to enclose an area of order . Such a conditioning enforces a glob…
math.PR2023
Entropic repulsion and scaling limit for a finite number of non-intersecting subcritical FK interfaces
Lucas D'Alimonte
This article is devoted to the study of a finite system of long clusters of subcritical 2-dimensional FK-percolation with q 1, conditioned on mutual avoidance. We show that…