Collision or non-collision problem for interacting Brownian particles. (English) Zbl 1107.60041

Summary: 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.


60J45 Probabilistic potential theory
31C15 Potentials and capacities on other spaces
31C25 Dirichlet forms
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
60J60 Diffusion processes
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