31 citations · 34 across the 4 of their papers we have counts for
4 papers
Cluster explorations of the loop soup on a metric graph related to the Gaussian free field
Elie Aidekon
We consider the loop soup at intensity conditioned on having local time on a set of vertices with positive occupation field in their vicinities. We give a relation…
Speed of the biased random walk on a Galton--Watson tree
Elie Aidekon
We give an expression of the speed of the biased random walk on a Galton--Watson tree. In the particular case of the simple random walk, we recover the result of Lyons, Pemantle an…
The uniform measure on a Galton-Watson tree without the XlogX condition
elie aidekon
We consider a Galton--Watson tree with offspring distribution of finite mean. The uniform measure on the boundary of the tree is obtained by putting mass on each vertex of…
Transient Random Walks in Random Environment on a Galton-Watson Tree
Elie Aidekon
We consider a transient random walk in random environment on a Galton--Watson tree. Under fairly general assumptions, we give a sharp and explicit criterion for the asympto…