1 citations · 1 across the 6 of their papers we have counts for
8 papers
Law of Large Numbers for a random walk on dynamic environments with drift
Guillaume Conchon--Kerjan, Toril Palaniappan
We study a random walk driven by a particle system from a generic class, and establish a law of large numbers for the walk for almost all densities of the environment. To do so, we…
A phase transition for the biased tree-builder random walk
Arthur Blanc-Renaudie, Camille Cazaux, Guillaume Conchon-Kerjan +2
We consider a recent model of random walk that recursively grows the network on which it evolves, namely the Tree Builder Random Walk (TBRW). We introduce a bias …
Sharp threshold for the ballisticity of the random walk on the exclusion process
Guillaume Conchon--Kerjan, Daniel Kious, Pierre-François Rodriguez
We study a non-reversible random walk advected by the symmetric simple exclusion process, so that the walk has a local drift of opposite sign when sitting atop an occupied or an em…
Speed of the random walk on the supercritical Gaussian Free Field percolation on regular trees
Guillaume Conchon--Kerjan
In this paper, we study the random walk on a supercritical branching process with an uncountable and unbounded set of types supported on the -regular tree ($d\geq…
Scaling limit of critical random trees in random environment
Guillaume Conchon--Kerjan, Daniel Kious, Cécile Mailler
We consider Bienaymé-Galton-Watson trees in random environment, where each generation is attributed a random offspring distribution , and is a sequence o…
Anatomy of a gaussian giant: supercritical level-sets of the free field on random regular graphs
Guillaume Conchon--Kerjan
In this paper, we study the level-set of the zero-average Gaussian Free Field on a uniform random -regular graph above an arbitrary level , where $h_{…