244 citations · 262 across the 4 of their papers we have counts for
4 papers
The scaling limit of the volume of loop O(n) quadrangulations
Élie Aïdékon, William Da Silva, Xingjian Hu
We study the volume of rigid loop- quadrangulations with a boundary of length in the non-generic critical regime. We prove that, as the half-perimeter goes to infini…
An infinite-dimensional representation of the Ray-Knight theorems
Elie Aïdékon, Yueyun Hu, Zhan Shi
The classical Ray-Knight theorems for Brownian motion determine the law of its local time process either at the first hitting time of a given value a by the local time at the origi…
Convergence in law of the minimum of a branching random walk
Elie Aïdékon
We consider the minimum of a super-critical branching random walk. Addario-Berry and Reed [Ann. Probab. 37 (2009) 1044-1079] proved the tightness of the minimum centered around its…
Large deviations for random walks in random environment on a Galton-Watson tree
Elie Aidekon
Consider a random walk in random environment on a supercritical Galton--Watson tree, and let be the hitting time of generation . The paper presents a large deviation princ…