Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Jan, Yves Le"'
Autor:
Coron, Camille, Jan, Yves Le
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 advantage is due to a mutation, transmitted in a Mendelian way from par
Externí odkaz:
http://arxiv.org/abs/2405.08404
Autor:
Coron, Camille, Jan, Yves Le
We consider a population of haploid individuals reproducing sexually, i.e. for which the genome of each individual is a random mixture of the genome of its two parents. We assume that initially one individual carries a mutation at one locus, and that
Externí odkaz:
http://arxiv.org/abs/2210.02213
Autor:
Jan, Yves Le
On a finite graph, we prove that trace of holonomies determine an intertwining relation between merge-and-split generators on collections of geodesic loops ensembles and Casimir operators on unitary connections. By adding a deformation part to the ge
Externí odkaz:
http://arxiv.org/abs/2209.01218
Autor:
Coron, Camille, Jan, Yves Le
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 Moran model, which is characterized by its xed number N of individuals. We
Externí odkaz:
http://arxiv.org/abs/2007.15479
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 obtain a central limit theorem when the loop variable is the sum over
Externí odkaz:
http://arxiv.org/abs/2002.00347
Publikováno v:
C. R. Acad. Sci. Paris Ser.I Math. 323 (1996), no. 8, 921-926
Integration by parts formulae are given for a class of measures on the space of paths of a smooth manifold $M$ determined by the laws of degenerate diffusions. The mother of such formulae, on the path space of diffeomorphism group of $M$ is shown to
Externí odkaz:
http://arxiv.org/abs/1911.09739
Publikováno v:
In `Stochastic analysis and related topics in Kyoto', 31-47, Adv. Stud. Pure Math., 41, Math. Soc. Japan, Tokyo, 2004
Given a pair of second order diffusion operators, one on the total space of a principle bundle $N$ and the other on the base space $M$, intertwined by the projection $\pi:N\to M$, if the operator ${\mathcal A}$ on the base manifold has constant rank,
Externí odkaz:
http://arxiv.org/abs/1911.08224
Autor:
Jan, Yves Le
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 discrete paths. We determine the distributions of the loop homotopy class
Externí odkaz:
http://arxiv.org/abs/1908.05187
Autor:
Jan, Yves Le
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 involves loop ensembles and spanning trees. The second type of interaction i
Externí odkaz:
http://arxiv.org/abs/1902.05121
Autor:
Jan, Yves Le
The purpose of the present note is to review and improve the convergence of the renormalized winding fields.
Comment: Typos were corrected
Comment: Typos were corrected
Externí odkaz:
http://arxiv.org/abs/1811.02737