Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Vechambre, Grégoire"'
Autor:
Kagan, Alexis, Véchambre, Grégoire
We define a family of continuous-time branching particle systems on the non-negative real line called branching subordinators and closely related to branching L\'evy processes introduced by Bertoin and Mallein arXiv:1703.08078. We pay a particular at
Externí odkaz:
http://arxiv.org/abs/2409.16617
Population models usually come in pairs; one process describes forward evolution (e.g. type composition) and the other describes backward evolution (e.g. lines of descent). These processes are often linked by a formal relationship known as duality. I
Externí odkaz:
http://arxiv.org/abs/2407.01242
Autor:
Véchambre, Grégoire
We consider a class of L\'evy-type processes on which spectral analysis technics can be made to produce optimal results, in particular for the decay rate of their survival probability and for the spectral gap of their ground state transform. This cla
Externí odkaz:
http://arxiv.org/abs/2304.12462
Our results characterize the long-term behavior for a broad class of $\Lambda$-Wright--Fisher processes with frequency-dependent and environmental selection. In particular, we reveal a rich variety of parameter-dependent behaviors and provide explici
Externí odkaz:
http://arxiv.org/abs/2112.10560
Autor:
Véchambre, Grégoire
Wright-Fisher diffusions describe the evolution of the type composition of an infinite haploid population with two types (say type $0$ and type $1$) subject to neutral reproductions, and possibly selection and mutations. In the present paper we study
Externí odkaz:
http://arxiv.org/abs/2103.12301
Autor:
Cordero, Fernando, Véchambre, Grégoire
Publikováno v:
Advances in Applied Probability , First View , pp. 1 - 67 (2023)
Consider a two-type Moran population of size $N$ with selection and mutation, where the selective advantage of the fit individuals is amplified at extreme environmental conditions. Assume selection and mutation are weak with respect to $N$, and extre
Externí odkaz:
http://arxiv.org/abs/1911.12089
Autor:
Véchambre, Grégoire
Positive self-similar Markov processes (pssMp) are positive Markov processes that satisfy the scaling property and it is known that they can be represented as the exponential of a time-changed L\'evy process via Lamperti representation. In this work,
Externí odkaz:
http://arxiv.org/abs/1807.01878
Autor:
Véchambre, Grégoire
We study the almost sure asymptotic behavior of the supremum of the local time for a transient diffusion in a spectrally negative L\'evy environment. More precisely, we provide the proper renormalizations for the extremely large and the extremely sma
Externí odkaz:
http://arxiv.org/abs/1703.08035
We study the properties of the exponential functional $\int\_0^{+ \infty} e^{- X^{\uparrow} (t)}dt$ where $X^{\uparrow}$ is a spectrally one-sided L{\'e}vy process conditioned to stay positive. In particular, we study finiteness, self-decomposability
Externí odkaz:
http://arxiv.org/abs/1507.02949
Autor:
Véchambre, Grégoire
We study the convergence in distribution of the supremum of the local time and of the favorite site for a transient diffusion in a spectrally negative L\'evy potential. To do so, we study the h-valleys of a spectrally negative L\'evy process, and we
Externí odkaz:
http://arxiv.org/abs/1605.05084