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Displaying similar documents to “Inequalities for the moments and distribution of the ladder height of a random walk.”

A remark concerning random walks with random potentials

Yakov Sinai (1995)

Fundamenta Mathematicae

Similarity:

We consider random walks where each path is equipped with a random weight which is stationary and independent in space and time. We show that under some assumptions the arising probability distributions are in a sense uniformly absolutely continuous with respect to the usual probability distribution for symmetric random walks.

Multifractal properties of the sets of zeroes of Brownian paths

Dmitry Dolgopyat, Vadim Sidorov (1995)

Fundamenta Mathematicae

Similarity:

We study Brownian zeroes in the neighborhood of which one can observe a non-typical growth rate of Brownian excursions. We interpret the multifractal curve for the Brownian zeroes calculated in [6] as the Hausdorff dimension of certain sets. This provides an example of the multifractal analysis of a statistically self-similar random fractal when both the spacing and the size of the corresponding nested sets are random.