| Université Paris 6 Pierre et Marie Curie | Université Paris 7 Denis Diderot | |
| CNRS U.M.R. 7599 | ||
| ``Probabilités et Modèles Aléatoires'' | ||
Auteur(s):
Code(s) de Classification MSC:
Résumé: We introduce and describe several classes of martingales based on reflected Lévy processes. We show how these martingales apply to various problems, in particular in fluctuation theory as an alternative to the use of excursion methods. Emphasis is given to the case of spectrally negative processes.
Mots Clés: Lévy processes ; Kella-Whitt and Kennedy martingales ; fluctuation theory ; Wiener-Hopf factorization
Date: 2003-11-10
Prépublication numéro: PMA-864