186 citations · 221 across the 16 of their papers we have counts for
16 papers
Sampling biased spanning forests through marked vertices
Yves Le Jan
We study biased spanning forests on the complete graph \(K_N\), obtained by assigning weight proportional to \(κ^q\) to spanning trees on \(K_N\cup\{Δ\}\), where \(q\) is the degre…
Genetic contribution of an advantaged mutant in the biparental Moran model -- finite selection
Camille Coron, Yves Le Jan
We consider a population of N individuals, whose dynamics through time is represented by a biparental Moran model with two types: an advantaged type and a disadvantaged type. The a…
Genetics of the biparental Moran model
Camille Coron, Yves Le Jan
Our goal is to study the genetic composition of a population in which each individual has 2 parents, who contribute equally to the genome of their ospring. We use a biparental Mora…
Homology of Brownian loops
Yves Le Jan
The purpose of this note is to extend to Brownian loops some homology and holonomy results obtained in the case of discrete loops on a graph
Markov loops, coverings and fields
Yves Le Jan
We investigate the relations between the Poissonnian loop ensembles , their occupation fields, non ramified Galois coverings of a graph, the associated gauge fields, and random Eul…
Loop measures without transition probabilities
Pat Fitzsimmons, Yves Le Jan, Jay Rosen
We construct Markov loop measures without assuming the existence of densities for transition probabilities.
Markov loops, complex free field and Eulerian circuits
Yves Le Jan
We study the complex free field associated with a symmetric Markov chain. Applications are given to loop ensembles, second Ray Knight theorem and random Eulerian circuits.
Perturbation of the loop measure
Yves Le Jan, Jay Rosen
The loop measure is associated with a Markov generator. We compute the variation of the loop measure induced by an in nitesimal variation of the generator a ecting the killing rate…
Markov loops in discrete spaces
Yinshan Chang, Yves Le Jan
The main topic of these notes are Markov loops, studied in the context of continuous time Markov chains on discrete state spaces. We refer to [1] and [2] for the short "history" of…
Intersection local times, loop soups and permanental Wick powers
Yves Le Jan, Michael B. Marcus, Jay Rosen
Several stochastic processes related to transient Lévy processes with potential densities , that need not be symmetric nor bounded on the diagonal, are defined and s…
Permanental fields, loop soups and continuous additive functionals
Yves Le Jan, Michael B. Marcus, Jay Rosen
A permanental field, , is a particular stochastic process indexed by a space of measures on a set . It is determined by a kernel , $x,y\in…
Three examples of Brownian flows on $\RR$
Yves Le Jan, Olivier Raimond
We show that the only flow solving the stochastic differential equation (SDE) on $\RR$ where and are two indepe…
Curvature Diffusions in General Relativity
Jacques Franchi, Yves Le Jan
We define and study on Lorentz manifolds a family of covariant diffusions in which the quadratic variation is locally determined by the curvature. This allows the interpretation of…
The Geometry of Filtering
K. D. Elworthy, Y. LeJan, Xue-Mei Li
Geometry arising from two diffusion operators (smooth semi-elliptic, second order differential operators) on different spaces but intertwined by a smooth map is described. Particul…
Markov paths, loops and fields
Yves Le Jan
This is an extended version of a series of lectures given in St Flour. It includes a discussion of relations between the occupation field of Markov loops with the corresponding fre…
Flows, coalescence and noise
Yves Le Jan, Olivier Raimond
We are interested in stationary "fluid" random evolutions with independent increments. Under some mild assumptions, we show they are solutions of a stochastic differential equation…