This paper is devoted to the study of a certain type of martingale problems associated to
general operators corresponding to processes which have finite lifetime. We analyse several …

We modify the global Skorokhod topology, on the space of cadlag paths, by localising with
respect to space variable, in order to include the eventual explosions. The tightness of …

In this PhD thesis, we give a space localisation for the theory of Feller processes. A first
objective is to obtain simple and precise results on the convergence of Markov processes. A …

Dans cette thèse, nous donnons une localisation en espace de la théorie des processus de
Feller. Un premier objectif est d'obtenir des résultats simples et précis sur la convergence de …