Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a
comprehensive exposition of the mathematical analysis of coagulation-fragmentation …

We consider non‐conservative positive semigroups and obtain necessary and sufficient
conditions for uniform exponential contraction in weighted total variation norm. This ensures …

We provide quantitative estimates in total variation distance for positive semigroups, which
can be non-conservative and non-homogeneous. The techniques relies on a family of …

This work deals with the Landau equation for very soft and Coulomb potentials near the
associated Maxwellian equilibrium. We first investigate the corresponding linearized …

This work deals with the inhomogeneous Landau equation on the torus in the cases of hard,
Maxwellian and moderately soft potentials. We first investigate the linearized equation and …

In this note, we present few examples of Piecewise Deterministic Markov Processes and
their long time behavior. They share two important features: they are related to concrete …

We study the long-time behavior of the growth-fragmentation equation, a nonlocal linear
evolution equation describing a wide range of phenomena in structured population …

We are interested in the dynamic of a structured branching population where the trait of each
individual moves according to a Markov process. The rate of division of each individual is a …

The growth-fragmentation equation describes a system of growing and dividing particles,
and arises in models of cell division, protein polymerisation and even telecommunications …

We study the asymptotic behaviour of the following linear growth-fragmentation equation
$$\dfrac {\partial}{\partial t} u (t, x)+\dfrac {\partial}{\partial x}\big (xu (t, x)\big)+ B (x) u (t, x)= 4 …