18 citations · 33 across the 15 of their papers we have counts for
15 papers
Limit theorems for loop soup random variables
Federico Camia, Yves Le Jan, Tulasi Ram Reddy
This article deals with limit theorems for certain loop variables for loop soups whose intensity approaches infinity. We first consider random walk loop soups on finite graphs and…
Integration by parts formulae for degenerate diffusion measures on path spaces and diffeomorphism groups
K. D. Elworthy, Yves Le Jan, Xue-Mei Li
Integration by parts formulae are given for a class of measures on the space of paths of a smooth manifold determined by the laws of degenerate diffusions. The mother of such f…
Equivariant diffusions on Principal bundles
K. D. Elworthy, Yves Le Jan, Xue-Mei Li
Given a pair of second order diffusion operators, one on the total space of a principle bundle and the other on the base space , intertwined by the projection , if…
On discrete loop signatures and Markov loops topology
Yves Le Jan
Our purpose is to explore, in the context of loop ensembles on finite graphs, the relations between combinatorial group theory, loops topology, loop measures, and signatures of dis…
Loop interactions and their representations in Fock space
Yves Le Jan
Given a weighted graph, we show how to define two types of natural interactions which correspond to local interactions between two Fock spaces. The first type of interaction involv…
Brownian winding fields
Yves Le Jan
The purpose of the present note is to review and improve the convergence of the renormalized winding fields.