On semi-martingale characterizations of functionals of symmetric Markov processes.
Fukushima, Masatoshi (1999)
Electronic Journal of Probability [electronic only]
Bhaskaran Rajeev (1990)
Séminaire de probabilités de Strasbourg
Yan, Litan (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Burgess Davis (1987)
Séminaire de probabilités de Strasbourg
Ronald K. Getoor (1975)
Séminaire de probabilités de Strasbourg
Lejay, Antoine (2006)
Probability Surveys [electronic only]
A. N. Borodin (1987)
Annales de l'I.H.P. Probabilités et statistiques
Takács, Lajos (1991)
Journal of Applied Mathematics and Stochastic Analysis
Fitzsimmons, Patrick J. (2006)
Electronic Communications in Probability [electronic only]
Davar Khoshnevisan, Pál Révész, Zhan Shi (2004)
Annales de l'I.H.P. Probabilités et statistiques
Csáki, Endre, Hu, Yueyun (2005)
Electronic Journal of Probability [electronic only]
Endre Csáki, Antónia Földes, Paavo Salminen (1987)
Annales de l'I.H.P. Probabilités et statistiques
Gittenberger, Bernhard, Louchard, Guy (2000)
Journal of Applied Mathematics and Stochastic Analysis
Eisenbaum, Nathalie, Kyprianou, Andreas (2008)
Electronic Communications in Probability [electronic only]
P.J. Fitzsimmons, R.K. Getoor (1988)
Mathematische Annalen
Jean Bertoin, Maria-Emilia Caballero (1995)
Séminaire de probabilités de Strasbourg
Yaozhong Hu (1996)
Publicacions Matemàtiques
P. Salminen (1984)
Mathematica Scandinavica
Haya Kaspi, Jay S. Rosen (2000)
Séminaire de probabilités de Strasbourg
Sebastian Andres (2009)
Annales de l'I.H.P. Probabilités et statistiques
In this paper, the object of study is a Skorohod SDE in a convex polyhedron with oblique reflection at the boundary. We prove that the solution is pathwise differentiable with respect to its deterministic starting point up to the time when two of the faces are hit simultaneously. The resulting derivatives evolve according to an ordinary differential equation, when the process is in the interior of the polyhedron, and they are projected to the tangent space, when the process hits the boundary, while...