Displaying similar documents to “Sectorial local non-determinism and the geometry of the Brownian sheet.”

Multifractals and projections.

Fadhila Bahroun, Imen Bhouri (2006)

Extracta Mathematicae

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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 = ( x ˜ , x d ) : x ˜ 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.