Université Paris 6
Pierre et Marie Curie
Université Paris 7
Denis Diderot

CNRS U.M.R. 7599
``Probabilités et Modèles Aléatoires''

Some martingales associated to reflected LÚvy processes

Auteur(s):

Code(s) de Classification MSC:

RÚsumÚ: We introduce and describe several classes of martingales based on reflected LÚvy 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 ClÚs: LÚvy processes ; Kella-Whitt and Kennedy martingales ; fluctuation theory ; Wiener-Hopf factorization

Date: 2003-11-10

Prépublication numéro: PMA-864