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arxiv: 1609.06814 · v1 · pith:I436UF7Tnew · submitted 2016-09-22 · 🧮 math.PR

Escape rate of the Brownian motions on hyperbolic spaces

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keywords brownianescaperatehyperbolicmotiondetermineddimensionaldiscuss
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We discuss the escape rate of the Brownian motion on a hyperbolic space. We point out that the escape rate is determined by using the Brownian expression of the radial part and a generalized Kolmogorov's test for the one dimensional Brownian motion.

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