Escape rate of the Brownian motions on hyperbolic spaces

2016/09/22 by Yuichi Shiozawa, Shiozawa, Yuichi
Biochemistry, Genetics and Molecular Biology · Mathematics · #Diffusion and Search Dynamics #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1609.06814

openalex publication_date 2016/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Volume growth, Comparison theorem and Escape Rate of Diffusion Process

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