12 citations · 43 across the 12 of their papers we have counts for
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math.PR2017★ 2 cited
Limit theorems for Random Walk excursion conditioned to have a typical area
Philippe Carmona, Nicolas Pétrélis
We derive a functional central limit theorem for the excursion of a random walk conditioned on sweeping a prescribed geometric area. We assume that the increments of the random wal…
math.PR2017
A shape theorem for the scaling limit of the IPDSAW at criticality
Philippe Carmona, Nicolas Pétrélis
In this paper we give a complete characterization of the scaling limit of the critical Interacting Partially Directed Self-Avoiding Walk (IPDSAW) introduced in Zwanzig and Lauritze…
math.PR2017★ 4 cited
Scaling limit of the uniform prudent walk
Nicolas Pétrélis, Rongfeng Sun, Niccolò Torri
We study the 2-dimensional uniform prudent self-avoiding walk, which assigns equal probability to all nearest-neighbor self-avoiding paths of a fixed length that respect the pruden…