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arXiv · 1609.05699

Survival exponents for fractional Brownian motion with multivariate time

G. Molchan
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Abstract

Fractional Brownian motion, H-FBM , of index with d-dimensional time is considered in a spherical domain that contains 0 at its boundary. The main result : the log-asymptotics of probability that H-FBM does not exceed a fixed positive level is (H-d)logT(1+o(1)), where T>>1 is radius of the domain.

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G. Molchan. 2016-09-19. Survival exponents for fractional Brownian motion with multivariate time. https://arxiv.org/abs/1609.05699

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