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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.17243 |
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| _version_ | 1866918044790423552 |
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| author | Chen, Yu-Ting |
| author_facet | Chen, Yu-Ting |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17243 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions Chen, Yu-Ting Probability 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. |
| title | Stochastic motions of the two-dimensional many-body delta-Bose gas, IV: Transformations of relative motions |
| topic | Probability |
| url | https://arxiv.org/abs/2401.17243 |