Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions

Yu-Ting Chen

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arXiv · 2401.17243

Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions

Yu-Ting Chen

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Abstract

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] of the series by proving a bijective transformation between two general classes of Langevin-type SDEs such that the SDEs of one class describe precisely the stochastic relative motions of the SDEs of the other class.

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Yu-Ting Chen. 2024-01-30. Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions. https://arxiv.org/abs/2401.17243

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