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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.16550 |
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| _version_ | 1866916695256334336 |
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| author | Surendranath, Sudheesh Tsai, Li-Cheng |
| author_facet | Surendranath, Sudheesh Tsai, Li-Cheng |
| contents | We extend the construction of the semigroup of the two-dimensional delta-Bose gas in Gu, Quastel, and Tsai (2021) (based on Rajeev (1999) and Dimock and Rajeev (2004)) to a weighted $L^2$ space that allows exponentially growing functions. We further show that the semigroup of the mollified delta-Bose gas converges strongly to that of the delta-Bose gas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16550 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two dimensional delta Bose gas in a weighted space Surendranath, Sudheesh Tsai, Li-Cheng Probability We extend the construction of the semigroup of the two-dimensional delta-Bose gas in Gu, Quastel, and Tsai (2021) (based on Rajeev (1999) and Dimock and Rajeev (2004)) to a weighted $L^2$ space that allows exponentially growing functions. We further show that the semigroup of the mollified delta-Bose gas converges strongly to that of the delta-Bose gas. |
| title | Two dimensional delta Bose gas in a weighted space |
| topic | Probability |
| url | https://arxiv.org/abs/2410.16550 |