This paper is concerned with stochastic stability and stabilization of positive systems with
Markovian jump parameters in both continuous-time and discrete-time contexts. First …

The efficiency of a Markov sampler based on the underdamped Langevin diffusion is studied
for high dimensional targets with convex and smooth potentials. We consider a classical …

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

This paper is concerned with stochastic stability analysis and L∞-gain (also called L∞-
induced norm) controller design for positive Markov jump systems (MJSs) in continuous-time …

We give a short overview of recent results on a specific class of Markov process: the
Piecewise Deterministic Markov Processes (PDMPs). We first recall the definition of these …

We provide quantitative bounds for the long time behavior of a class of Piecewise
Deterministic Markov Processes with state space R^d*E where E is a finite set. The …

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 consider a particle system in continuous time, a discrete population, with spatial motion,
and nonlocal branching. The offspring's positions and their number may depend on the …

The TCP window size process appears in the modeling of the famous Transmission Control
Protocol used for data transmission over the Internet. This continuous time Markov process …