Sectorial local non-determinism and the geometry of the Brownian sheet.

Xiao, Yimin; Khoshnevisan, Davar; Wu, Dongsheng

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Fedorchuk, V.V. (2009)

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Gubarev, V.Yu. (2009)

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Multifractals and projections.

Fadhila Bahroun, Imen Bhouri (2006)

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In this paper, we generalize the result of Hunt and Kaloshin [5] about the L-spectral dimensions of a measure and that of its projections. The results we obtain, allow to study an untreated case in their work and to find a relationship between the multifractal spectrum of a measure and that of its projections.

Minimal thinness for subordinate Brownian motion in half-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 $H : = {x = (\tilde{x}, x_{d}) : \tilde{x} \in ℝ^{d - 1}, x_{d} > 0}$ for a large class of subordinate Brownian motions. We show that the same test for the minimal thinness of a subset of $H$ 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.

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Emel'yanov, Eh.Yu. (2003)

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Finite dimensions modulo simplicial complexes and $A N R$ -compacta

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Weak convergence to fractional Brownian motion in some anisotropic Besov space

M. Ait Ouahra (2004)

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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.

Existence and properties of $h$ -sets.

Bricchi, Michele (2002)

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