1 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre de Mathématiques Appliquées de l'École polytechniqueFR9 papers
- École PolytechniqueFR9 papers
- Centre de Physique ThéoriqueFR4 papers
- Center for Mathematical ModelingCL2 papers
- Institut Universitaire de FranceFR2 papers
- Centre de Recherche en Économie et StatistiqueFR1 paper
- École Nationale Supérieure de Techniques AvancéesFR1 paper
- École Nationale Supérieure de Techniques Avancées ParisFR1 paper
- Institut de Mathématiques de BordeauxFR1 paper
- Instituto Superior de Ciências e Tecnologia de MoçambiqueMZ1 paper
- Laboratoire d'Hydrodynamique de l'École polytechniqueFR1 paper
- Laboratoire Jacques-Louis LionsFR1 paper
12 papers
Threatening excursions in large population quasi-stationary birth and death systems. On a question of Antonio Galves
Pierre Collet, Servet Martínez, Sylvie Méléard
We consider time continuous multispecies birth and death processes in a regime of large populations. The jump rates depend on a large scaling parameter K modeling the charge capaci…
A model for a population of trees structured by phenological traits
Sirine Boucenna, Vasilis Dakos, Gaël Raoul
In the context of global warming, tree populations rely on two primary mechanisms of adaptation: phenotypic plasticity, which enables individuals to adjust their behavior in respon…
Hematopoiesis as a continuum: from stochastic compartmental model to hydrodynamic limit
Vincent Bansaye, Ana Fernández Baranda, Stéphane Giraudier +1
We consider a multiscale stochastic compartmental model with three types of cells (stem cells, immature cells and mature cells) which combines cell proliferation and cell different…
Stability of non-conservative cross diffusion model and approximation by stochastic particle systems
Vincent Bansaye, Alexandre Bertolino, Ayman Moussa
We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become loc…
Long time behavior and Yaglom limit for real trait-structured Birth and Death Processes
Pierre Collet, Sylvie Méléard, Jaime San
In this article we study the long time behaviour of measure-valued birth and death processes in continuous time, where the dynamics between jumps are one-dimensional Markov process…
On measure-valued solutions for a structured population model with transfers
Pierre Magal, Gaël Raoul
We consider a transfer operator where two interacting cells carrying non-negative traits transfer a random fraction of their trait to each other. These transfers can lead to popula…
Convergence and Wave Propagation for a System of Branching Rank-Based Interacting Brownian Particles
Mete Demircigil, Milica Tomasevic
In this work we study a branching particle system of diffusion processes on the real line interacting through their rank in the system. Namely, each particle follows an independent…
Quantitative effects of the stress response to DNA damage in the cell size control of Escherichia coli
Ignacio Madrid Canales, James Broughton, Sylvie Méléard +1
In Escherichia coli the response to DNA damage shows strong cell-to-cell-heterogenity. This results in a random delay in cell division and asymmetrical binary fission of single cel…
Long-time behaviour of a multidimensional age-dependent branching process with a singular jump kernel modelling telomere shortening
Jules Olayé, Milica Tomasevic
In this article, we investigate the ergodic behaviour of a multidimensional age-dependent branching process with a singular jump kernel, motivated by studying the phenomenon of tel…
Long time behavior of a degenerate stochastic system modeling the response of a population face to environmental impacts
Pierre Collet, Claire Ecotière, Sylvie Méléard
We study the asymptotics of a two-dimensional stochastic differential system with a degenerate diffusion matrix. This system describes the dynamics of a population where individual…
Branching diffusion processes and spectral properties of Feynman-Kac semigroup
Pierre Collet, Sylvie Méléard, Jaime San MARTIN
In this article we study the long time behavior of linear functionals of branching diffusion processesas well as the time reversal of the spinal process by means of spectral proper…
Estimation of the lifetime distribution from fluctuations in Bellman-Harris processes
Jules Olayé, Hala Bouzidi, Andrey Aristov +4
The growth of a population is often modeled as branching process where each individual at the end of its life is replaced by a certain number of offspring. An example of these bran…