9 citations · 10 across the 5 of their papers we have counts for
7 papers
-Wright--Fisher processes with general selection and opposing environmental effects: fixation and coexistence
Fernando Cordero, Sebastian Hummel, Grégoire Véchambre
Our results characterize the long-term behavior for a broad class of -Wright--Fisher processes with frequency-dependent and environmental selection. In particular, we reveal a r…
Combinatorics of ancestral lines for a Wright-Fisher diffusion with selection in a Lévy environment
Grégoire Véchambre
Wright-Fisher diffusions describe the evolution of the type composition of an infinite haploid population with two types (say type and type ) subject to neutral reproduction…
Moran models and Wright--Fisher diffusions with selection and mutation in a one-sided random environment
Fernando Cordero, Grégoire Véchambre
Consider a two-type Moran population of size with selection and mutation, where the selective advantage of the fit individuals is amplified at extreme environmental conditions.…
General self-similarity properties for Markov processes and exponential functionals of L{é}vy processes
Grégoire Véchambre
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…
Almost sure behavior for the local time of a diffusion in a spectrally negative Lévy environment
Grégoire Véchambre
We study the almost sure asymptotic behavior of the supremum of the local time for a transient diffusion in a spectrally negative Lévy environment. More precisely, we provide the p…
Path decomposition of a spectrally negative Lévy process, and local time of a diffusion in this environment
Grégoire Véchambre
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 Lévy potential. To do so, we…
Exponential functionals of spectrally one-sided l{é}vy processes conditioned to stay positive
Grégoire Véchambre, Grégoire Vechambre
We study the properties of the exponential functional where is a spectrally one-sided L{é}vy process conditioned to sta…