An Itô type isometry for loops in via the brownian bridge
Pierre Gosselin, Tilmann Wurzbacher (1997)
Séminaire de probabilités de Strasbourg
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Pierre Gosselin, Tilmann Wurzbacher (1997)
Séminaire de probabilités de Strasbourg
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Martin T. Barlow, Peter Imkeller (1992)
Séminaire de probabilités de Strasbourg
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Gawarecki, Leszek (1999)
Journal of Applied Mathematics and Stochastic Analysis
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John C. Taylor (1992)
Séminaire de probabilités de Strasbourg
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Richard F. Bass (2002)
Séminaire de probabilités de Strasbourg
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Laure Coutin, Nicolas Victoir (2009)
ESAIM: Probability and Statistics
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We propose some construction of enhanced Gaussian processes using Karhunen-Loeve expansion. We obtain a characterization and some criterion of existence and uniqueness. Using rough-path theory, we derive some Wong-Zakai Theorem.
Rajeeva L. Karandikar (1983)
Séminaire de probabilités de Strasbourg
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Antoine Lejay (2006)
ESAIM: Probability and Statistics
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We show in this article how the theory of “rough paths” allows us to construct solutions of differential equations (SDEs) driven by processes generated by divergence-form operators. For that, we use approximations of the trajectories of the stochastic process by piecewise smooth paths. A result of type Wong-Zakai follows immediately.
Gobet, Emmanuel, Kohatsu-Higa, Arturo (2003)
Electronic Communications in Probability [electronic only]
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