First eigenvalue of one-dimensional diffusion processes.
First hitting time and place, monopoles and multipoles for pseudo-processes driven by the equation .
Fonctionnelles multiplicatives opératrices
Fractional Brownian motion and the Markov property.
Fragmentation of ordered partitions and intervals.
From convergence of operator semigroups to gene expression, and back again
The subject of the paper is reciprocal influence of pure mathematics and applied sciences. We illustrate the idea by giving a review of mathematical results obtained recently, related to the model of stochastic gene expression due to Lipniacki et al. [38]. In this model, featuring mRNA and protein levels, and gene activity, the stochastic part of processes involved in gene expression is distinguished from the part that seems to be mostly deterministic, and the dynamics is expressed by means of a...