Yu-Ting Chen
Published 2024-01-30, updated 2025-05-08Version 2
This paper is the last in a series devoted to constructing stochastic motions representing the two-dimensional $N$-body delta-Bose gas for all integers $N\geq 3$ via Feynman-Kac-type formulas. The main result here supplements [1,2] by proving a bijective transformation between two general classes of Langevin-type SDEs such that the solutions of the SDEs of one class recover precisely the stochastic relative motions associated with the solutions of the SDEs from the other class.
Comments: Replacement of the paper with the same arXiv identifier by part of its second version, 8 pages. The other parts of the second version appear as arXiv:2505.01703, arXiv:2505.01704, and arXiv:2505.03006
Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$δ$ motions
Stochastic motions of the two-dimensional many-body delta-Bose gas, III: Path integrals
Stochastic motions of the two-dimensional many-body delta-Bose gas, II: Many-$δ$ motions
![QR code for arXiv:2401.17243 [math.PR]](http://oss.arxitics.com/images/favicon.svg)