| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1156163 | Stochastic Processes and their Applications | 2015 | 22 Pages |
Abstract
We solve the infinite-dimensional stochastic differential equations (ISDEs) describing an infinite number of Brownian particles in R+R+ interacting through the two-dimensional Coulomb potential. The equilibrium states of the associated unlabeled stochastic dynamics are Bessel random point fields. To solve these ISDEs, we calculate the logarithmic derivatives, and prove that the random point fields are quasi-Gibbsian.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ryuichi Honda, Hirofumi Osada,