Options
Benaim, Michel
Nom
Benaim, Michel
Affiliation principale
Fonction
Professeur ordinaire
Email
michel.benaim@unine.ch
Identifiants
Résultat de la recherche
Voici les éléments 1 - 10 sur 79
- PublicationAccès libreThe asymptotic behavior of fraudulent algorithms(2024)
; Laurent MicloLet U be a Morse function on a compact connected m-dimensional Riemannian manifold, m≥2, satisfying minU=0 and let U={x∈M:U(x)=0} be the set of global minimizers. Consider the stochastic algorithm X(β):=(X(β)(t))t≥0 defined on N=M∖U, whose generator isUΔ⋅−β⟨∇U,∇⋅⟩, where $\beta\in\RR$ is a real parameter.We show that for β>m2−1, X(β)(t) converges a.s.\ as t→∞, toward a point p∈U and that each p∈U has a positive probability to be selected. On the other hand, for β - PublicationAccès libreWhen can a population spreading across sink habitats persist?(2024)
; ;Claude Lobry ;Tewfik Sari - PublicationAccès libreOn invariant distributions of Feller Markov chains with applications to dynamical systems with random switching(2023-10-26T16:39:02Z)
; Oliver ToughWe introduce simple conditions ensuring that invariant distributions of a Feller Markov chain on a compact Riemannian manifold are absolutely continuous with a lower semi-continuous, continuous or smooth density with respect to the Riemannian measure. This is applied to Markov chains obtained by random composition of maps and to piecewise deterministic Markov processes obtained by random switching between flows. - PublicationAccès libreA note on the top Lyapunov exponent of linear cooperative systems(2023-02-12T08:49:27Z)
; ;Claude Lobry ;Tewfik SariIn a recent paper [Asymptotic of the largest Floquet multiplier for cooperative matrices Annales de la Facult\'e des Sciences de Toulouse, Tome XXXI, no 4 (2022)] P. Carmona gives an asymptotic formulae for the top Lyapunov exponent of a linear T-periodic cooperative differential equation, in the limit T goes to infinity. This short note discusses and extends this result. - PublicationRestriction temporaireUntangling the role of temporal and spatial variations in persistence of populations(2023)
; ;Claude Lobry ;Tewfik SariÉdouard Strickler - PublicationAccès libreRegularity of the stationary density for systems with fast random switching(2022-12-07T13:41:53Z)
; Oliver ToughWe consider the piecewise-deterministic Markov process obtained by randomly switching between the flows generated by a finite set of smooth vector fields on a compact set. We obtain H\"ormander-type conditions on the vector fields guaranteeing that the stationary density is: $C^k$ whenever the jump rates are sufficiently fast, for any $k<\infty$; unbounded whenever the jump rates are sufficiently slow and lower semi-continuous regardless of the jump rates. Our proofs are probabilistic, relying on a novel application of stopping times. - PublicationAccès libreTranscritical Bifurcation for the Conditional Distribution of a Diffusion Process(2022)
; ;Nicolas Champagnat ;William OçafrainDenis Villemonais - PublicationAccès libreDegenerate processes killed at the boundary of a domain(2021-03-15T16:56:53Z)
; ;Nicolas Champagnat ;William OçafrainDenis VillemonaisWe investigate certain properties of degenerate Feller processes that are killed when exiting a relatively compact set. Our main result provides general conditions ensuring that such a process possesses a (possibly non unique) quasi stationary distribution. Conditions ensuring uniqueness and exponential convergence are discussed. The results are applied to nonelliptic and hypoelliptic stochastic differential equations. - PublicationAccès libreStochastic approximation of quasi-stationary distributions for diffusion processes in a bounded domain(2021)
; ;Nicolas ChampagnatDenis Villemonais