A connection between Gaussian processes and Markov processes.
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Eisenbaum, Nathalie (2005)
Electronic Journal of Probability [electronic only]
P. Mc Gill (1981)
Séminaire de probabilités de Strasbourg
Feng, Chunrong, Zhao, Huaizhong (2007)
Electronic Journal of Probability [electronic only]
Saul D. Jacka (1983)
Séminaire de probabilités de Strasbourg
R. R. London, H. P. Mc Kean, L. C. G. Rogers, David Williams (1982)
Séminaire de probabilités de Strasbourg
Saul D. Jacka (1987)
Séminaire de probabilités de Strasbourg
Kozlova, Marina, Salminen, Paavo (2005)
Electronic Communications in Probability [electronic only]
Amine Asselah, Fabienne Castell (2007)
Annales de l'I.H.P. Probabilités et statistiques
Jay S. Rosen (1986)
Séminaire de probabilités de Strasbourg
Jean Bertoin (2008)
Journal of the European Mathematical Society
It was shown in [2] that a Langevin process can be reflected at an energy absorbing boundary. Here, we establish that the law of this reflecting process can be characterized as the unique weak solution to a certain second order stochastic differential equation with constraints, which is in sharp contrast with a deterministic analog.
Philippe Carmona, Frédérique Petit, Marc Yor (2004)
Annales de l'I.H.P. Probabilités et statistiques
Mihai Gradinaru, Bernard Roynette, Pierre Vallois, Marc Yor (1999)
Annales de l'I.H.P. Probabilités et statistiques
Boutabia, Hacène (2005)
International Journal of Mathematics and Mathematical Sciences
Evgeny B. Dynkin (1975)
Annales de l'institut Fourier
Intuitively, an additive functional of a stochastic process gives a method to measure time taking into account the development of the process. We associate with any set of states the mathematical expectation of time belongs to . In this way, we establish to one-to-one correspondence between all the normal additive functionals of a Markov process and all the -finite measures on the state space which charge no inaccessible set. This is proved under the condition that transition probabilities...
Pierre Vallois (1992)
Séminaire de probabilités de Strasbourg
Bass, Richard F., Rosen, Jay (2005)
Electronic Journal of Probability [electronic only]
Philip Protter, Alain-Sol Sznitman (1983)
Séminaire de probabilités de Strasbourg
Joseph Glover (1982)
Séminaire de probabilités de Strasbourg
Eisenbaum, Nathalie, Walsh, Alexander (2009)
Electronic Communications in Probability [electronic only]
Nina Gantert, Wolfgang König, Zhan Shi (2007)
Annales de l'I.H.P. Probabilités et statistiques
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