Escape rate of the brownian motions on hyperbolic spaces

Yuichi Shiozawa

doi:10.3792/pjaa.93.27

Escape rate of the brownian motions on hyperbolic spaces

Yuichi Shiozawa

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	27-29
Number of pages	3
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	93
Issue number	4
DOIs	https://doi.org/10.3792/pjaa.93.27
Publication status	Published - Apr 1 2017
Externally published	Yes

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Keywords

Brownian motion
Escape rate
Hyperbolic space

ASJC Scopus subject areas

Mathematics(all)

Cite this

Shiozawa, Y. (2017). Escape rate of the brownian motions on hyperbolic spaces. Proceedings of the Japan Academy Series A: Mathematical Sciences, 93(4), 27-29. https://doi.org/10.3792/pjaa.93.27

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Access to Document

10.3792/pjaa.93.27