We propose an analysis and applications of sample pooling to the epidemiologic monitoring
of COVID-19. We first introduce a model of the RT-qPCR process used to test for the …

We present a unifying, tractable approach for studying the spread of viruses causing
complex diseases requiring to be modeled using a large number of types (eg, infective …

We introduce a biologically natural, mathematically tractable model of random phylogenetic
network to describe evolution in the presence of hybridization. One of the features of this …

Combinatorial trees can be used to represent genealogies of asexual individuals. These
individuals can be endowed with birth and death times, to obtain a so-called 'chronological …

This thesis focuses on Hawkes processes, which are continuous-time stochastic processes
whose intensity is random and depends on the entire history of the process. These …

In this paper, we firstly give a reconstruction for Crump-Mode-Jagers processes with
immigration as solutions to a class of stochastic Volterra integral equations, which offers us a …

This paper belongs to a series of papers aiming to investigate scaling limits of Crump-Mode-
Jagers (CMJ) trees. In the previous two papers we identified general conditions under which …

In this work, we study a family of non-Markovian trees modeling populations where
individuals live and reproduce independently with possibly time-dependent birth-rate and …

Abstract Crump–Mode–Jagers (CMJ) trees generalize Galton–Watson trees by allowing
individuals to live for an arbitrary duration and give birth at arbitrary times during their life …