Open Access
April 2006 Collision or non-collision problem for interacting Brownian particles
Kiyokazu Inukai
Proc. Japan Acad. Ser. A Math. Sci. 82(4): 66-70 (April 2006). DOI: 10.3792/pjaa.82.66

Abstract

The purpose of this paper is to study the collision or non-collision problem for interacting Brownian particles in the framework of theory of Dirichlet forms. The result is closely related to a question on existence and uniqueness of strong solutions for stochastic differential equations with singular drifts.

Citation

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Kiyokazu Inukai. "Collision or non-collision problem for interacting Brownian particles." Proc. Japan Acad. Ser. A Math. Sci. 82 (4) 66 - 70, April 2006. https://doi.org/10.3792/pjaa.82.66

Information

Published: April 2006
First available in Project Euclid: 2 May 2006

zbMATH: 1107.60041
MathSciNet: MR2222214
Digital Object Identifier: 10.3792/pjaa.82.66

Subjects:
Primary: 60J60

Keywords: capacity , collision , diffusion , Dirichlet form , Interacting Brownian particles

Rights: Copyright © 2006 The Japan Academy

Vol.82 • No. 4 • April 2006
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