Rachid Belfadli (2010)
Annales mathématiques Blaise Pascal
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We prove, by means of Malliavin calculus, the convergence in of some properly renormalized weighted quadratic variations of bi-fractional Brownian motion (biFBM) with parameters and , when and .
Raby Guerbaz (2007)
Annales mathématiques Blaise Pascal
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We study the existence and the regularity of the local time of filtered white noises . We will also give Chung’s form of the law of iterated logarithm for , this shows that the result on the Hölder regularity, with respect to time, of the local time is sharp.
Hu, Yaozhong, Nualart, David (2009)
Electronic Communications in Probability [electronic only]
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M. Ait Ouahra (2004)
Annales mathématiques Blaise Pascal
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We give some limit theorems for the occupation times of 1-dimensional Brownian motion in some anisotropic Besov space. Our results generalize those obtained by Csaki et [] in continuous functions space.
Panki Kim, Renming Song, Zoran Vondraček (2012)
Annales de l’institut Fourier
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We study minimal thinness in the half-space for a large class of subordinate Brownian motions. We show that the same test for the minimal thinness of a subset of below the graph of a nonnegative Lipschitz function is valid for all processes in the considered class. In the classical case of Brownian motion this test was proved by Burdzy.
Feyel, Denis, de La Pradelle, Arnaud (2006)
Electronic Journal of Probability [electronic only]
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