479 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR192 papers
- Université Paris-SaclayFR78 papers
- Université de MontpellierFR75 papers
- AgroParisTechFR59 papers
- Centre de Coopération Internationale en Recherche Agronomique pour le DéveloppementFR56 papers
- Mathématiques, Informatique et Statistique pour l'Environnement et l'AgronomieFR44 papers
- Institut de Recherche pour le DéveloppementFR41 papers
- Institut National de la Recherche AgronomiqueMA39 papers
- Institut Agro MontpellierFR38 papers
- Institut national de recherche en sciences et technologies du numériqueFR38 papers
- Territoires, Environnement, Télédétection et Information SpatialeFR33 papers
- Université Grenoble AlpesFR32 papers
26 papers · 1 filter
Landscape k-complexity of isotropic centered Gaussian fields
Jean-Marc Azaïs, Céline Delmas
In large dimension, we study the asymptotic behavior of the mean number of critical points with index k below a level u for an isotropic centered Gaussian random field defined on a…
Empirical distribution of ancestral lineages in populations with density-dependent interactions
Madeleine Kubasch
We study a density-dependent Markov jump process describing a population where each individual is characterized by a type, and reproduces at rates depending both on its type and on…
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…
Multivariable CLT for critical points
Jean-Marc Azaïs, Federico Dalmao, Céline Delmas
We prove a multivariate central limit theorem for the numbers of critical points with all possible indexes which lie above a level of a non-necessarily isotropic Gaussian random fi…
Approximate filtering via discrete dual processes
Guillaume Kon Kam King, Andrea Pandolfi, Marco Piretto +1
We consider the task of filtering a dynamic parameter evolving as a diffusion process, given data collected at discrete times from a likelihood which is conjugate to the marginal l…
Large population limit for a multilayer SIR model including households and workplaces
Madeleine Kubasch
We study a multilayer SIR model with two levels of mixing, namely a global level which is uniformly mixing, and a local level with two layers distinguishing household and workplace…
Quasi-equilibria and click times for a variant of Muller's ratchet
Adrian Gonzalez Casanova, Charline Smadi, Anton Wakolbinger
Consider a population of individuals, each of them carrying a type in . The population evolves according to a Moran dynamics with selection and mutation, where an…
Quasi-stationary behavior for an hybrid model of chemostat: the Crump-Young model
Bertrand Cloez, Coralie Fritsch
The Crump-Young model consists of two fully coupled stochastic processes modeling the substrate and microorganisms dynamics in a chemostat. Substrate evolves following an ordinary…
Flocking of the Cucker-Smale and Motsch-Tadmor models on general weighted digraphs via a probabilistic method
Adrien Jean Cotil
In this paper, we discuss the flocking phenomenon for the Cucker-Smale and Motsch-Tadmor models in continuous time on a general oriented and weighted graph with a general communica…
Uniform in time propagation of chaos for a Moran model
Bertrand Cloez, Josué Corujo
The goal of this article is to study the limit of the empirical distribution induced by a mutation-selection multi-allelic Moran model, whose dynamic is given by a continuous-time…
Explicit non-asymptotic bounds for the distance to the first-order Edgeworth expansion
Alexis Derumigny, Lucas Girard, Yannick Guyonvarch
In this article, we obtain explicit bounds on the uniform distance between the cumulative distribution function of a standardized sum of independent centered random varia…
Quasi-stationary distribution and metastability for the stochastic Becker-Döring model
Erwan Hingant, Romain Yvinec
We study a stochastic version of the classical Becker-Döring model, a well-known kinetic model for cluster formation that predicts the existence of a long-lived metastable state be…
Stochastic individual-based models with power law mutation rate on a general finite trait space
Loren Coquille, Anna Kraut, Charline Smadi
We consider a stochastic individual-based model for the evolution of a haploid, asexually reproducing population. The space of possible traits is given by the vertices of a (possib…
Mean number and correlation function of critical points of isotropic Gaussian fields and some results on GOE random matrices
Jean-Marc Azais, Céline Delmas
Let be an isotropic Gaussian random field with real values.In a first part we study the mean number of critical points of $\mathcal{X…
On an irreducibility type condition for the ergodicity of nonconservative semigroups
Bertrand Cloez, Pierre Gabriel
We propose a simple criterion, inspired from the irreducible aperiodic Markov chains, to derive the exponential convergence of general positive semi-groups. When not checkable on t…
Long time behaviour of continuous-state nonlinear branching processes with catastrophes
Aline Marguet, Charline Smadi
Motivated by the study of a parasite infection in a cell line, we introduce a general class of Markov processes for the modelling of population dynamics. The population process evo…
Stochastic partial differential equations describing neutral genetic diversity under short range and long range dispersal
Raphaël Forien
In this paper, we consider a mathematical model for the evolution of neutral genetic diversity in a spatial continuum including mutations, genetic drift and either short range or l…
Household epidemic models and McKean-Vlasov Poisson driven stochastic differential equations
Raphael Forien, Etienne Pardoux
This paper presents a new view of household epidemic models, where the interaction between the households is of mean field type. We thus obtain in the limit of infinitely many hous…
Two level natural selection with a quasi-stationarity approach
Aurélien Velleret
In a view for a simple model where natural selection at the individual level is confronted to selection effects at the group level, we consider some individual-based models of some…
Poincaré type inequalities for compact degenerate pure jump Markov processes
Pierre Hodara, Ioannis Papageorgiou
We aim in proving Poincaré inequalities for a class of pure jump Markov processes inspired by the model introduced in \cite{G-L} by Galves and Löcherbach to describe the behaviour…
Probabilistic and Piecewise Deterministic models in Biology
Bertrand Cloez, Renaud Dessalles, Alexandre Genadot +3
We present recent results on Piecewise Deterministic Markov Processes (PDMPs), involved in biological modeling. PDMPs, first introduced in the probabilistic literature by Davis (19…
Gaussian approximations for chemostat models in finite and infinite dimensions
Bertrand Cloez, Coralie Fritsch
In a chemostat, bacteria live in a growth container of constant volume in which liquid is injected continuously. Recently, Campillo and Fritsch introduced a mass-structured individ…
Ergodicity of inhomogeneous Markov chains through asymptotic pseudotrajectories
Michel Benaïm, Florian Bouguet, Bertrand Cloez
In this work, we consider an inhomogeneous (discrete time) Markov chain and are interested in its long time behavior. We provide sufficient conditions to ensure that some of its as…
A stochastic approximation approach to quasi-stationary distributions on finite spaces
Michel Benaïm, Bertrand Cloez
This work is concerned with the analysis of a stochastic approximation algorithm for the simulation of quasi-stationary distributions on finite state spaces. This is a generalizati…