19 citations · 49 across the 9 of their papers we have counts for
10 papers · 1 filter
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…
Large deviations for power-law thinned Levy processes
Elie Aidekon, Remco van der Hofstad, Sandra Kliem +1
This paper deals with the large deviations behavior of a stochastic process called thinned Levy process. This process appeared recently as a stochastic-process limit in the context…
The branching Brownian motion seen from its tip
E. Aïdékon, J. Berestycki, É. Brunet +1
It has been conjectured since the work of Lalley and Sellke (1987) that the branching Brownian motion seen from its tip (e.g. from its rightmost particle) converges to an invariant…
The precise tail behavior of the total progeny of a killed branching random walk
Elie Aïdékon, Yueyun Hu, Olivier Zindy
Consider a branching random walk on the real line with a killing barrier at zero: starting from a nonnegative point, particles reproduce and move independently, but are killed when…
Weak convergence for the minimal position in a branching random walk: a simple proof
Elie Aidekon, Zhan Shi
Consider the boundary case in a one-dimensional super-critical branching random walk. It is known that upon the survival of the system, the minimal position after steps behaves…
Tail asymptotics for the total progeny of the critical killed branching random walk
Elie Aidekon
We consider a branching random walk on with a killing barrier at zero. At criticality, the process becomes eventually extinct, and the total progeny is therefore f…