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20242026
most citedQuantitative effects of the stress response to DNA damage in the cell size control of Escherichia coli

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math.PR2026

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…

math.PR2026

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…

math.PR2025

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…

math.PR2024

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…

math.PR2024

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…

math.PR2024

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…