6 citations · 6 across the 2 of their papers we have counts for
5 papers
Multiplicative chaos of the Brownian loop soup
Élie Aïdékon, Nathanaël Berestycki, Antoine Jego +1
We construct a measure on the thick points of a Brownian loop soup in a bounded domain D of the plane with given intensity , which is formally obtained by exponentiating the s…
Path decompositions of perturbed reflecting Brownian motions
Elie Aïdékon, Yueyun Hu, Zhan Shi
We are interested in path decompositions of a perturbed reflecting Brownian motion (PRBM) at the hitting times and at the minimum. Our study relies on the loop soups developed by L…
Points of infinite multiplicity of planar Brownian motion: measures and local times
Elie Aïdékon, Yueyun Hu, Zhan Shi
It is well-known (see Dvoretzky, Erd{\H o}s and Kakutani [8] and Le Gall [12]) that a planar Brownian motion has points of infinite multiplicity, and these points…
Large deviations for level sets of branching Brownian motion and Gaussian free fields
Elie Aïdékon, Yueyun Hu, Zhan Shi
We study deviation probabilities for the number of high positioned particles in branching Brownian motion, and confirm a conjecture of Derrida and Shi (2016). We also solve the cor…
Scaling limit of the recurrent biased random walk on a Galton-Watson tree
Elie Aïdékon, Loïc de Raphélis
We show that the trace of the null recurrent biased random walk on a Galton-Watson tree properly renormalized converges to the Brownian forest. Our result extends to the setting of…