Brownian Motion, Reflection Groups and Tanaka Formula
Demni, Nizar ; Lépingle, Dominique
Rendiconti del Seminario Matematico della Università di Padova, Tome 128 (2012), p. 41-56 / Harvested from Numdam
Publié le : 2012-01-01
@article{RSMUP_2012__127__41_0,
     author = {Demni, Nizar and L\'epingle, Dominique},
     title = {Brownian Motion, Reflection Groups and Tanaka Formula},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {128},
     year = {2012},
     pages = {41-56},
     mrnumber = {2977998},
     zbl = {1263.60074},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2012__127__41_0}
}
Demni, Nizar; Lépingle, Dominique. Brownian Motion, Reflection Groups and Tanaka Formula. Rendiconti del Seminario Matematico della Università di Padova, Tome 128 (2012) pp. 41-56. http://gdmltest.u-ga.fr/item/RSMUP_2012__127__41_0/

[1] P. Biane - P. Bougerol - N. O'Connell, Littelman paths and Brownian paths. Duke Math. J., 130 (2004), pp. 127-167. | MR 2176549 | Zbl 1161.60330

[2] N. Bourbaki, Éléments de mathématiques: Groupes et algèbres de Lie. Chapitres 4-6, Hermann, Paris 1968. | MR 240238 | Zbl 1120.17002

[3] O. Chybiryakov, Processus de Dunkl et relation de Lamperti. Ph. D. Thesis, Université de Paris VI, 2006.

[4] O. Chybiryakov - L. Gallardo - M. Yor, Dunkl processes and their radial parts relative to a root system. Travaux en cours, 71 (Hermann 2008), pp. 113-197.

[5] N. Demni, A guided tour in the world of radial Dunkl processes. Travaux en cours, 71 (Hermann 2008), pp. 199-226.

[6] J. E. Humpreys, Reflection Groups and Coxeter Groups. Cambridge University Press, 1990. | MR 1066460 | Zbl 0768.20016

[7] D. Revuz - M. Yor, Continuous Martingales and Brownian Motion. Springer, third edition, 1999. | MR 1725357 | Zbl 0917.60006