5 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…