An inversion formula for the 2-body interaction given the correlation functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866910134824861696 |
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| author | Frommer, Fabio Kuna, Tobias Tsagkarogiannis, Dimitrios |
| author_facet | Frommer, Fabio Kuna, Tobias Tsagkarogiannis, Dimitrios |
| contents | Given a classical gas described by the truncated correlation functions of all orders, we prove convergence of an expansion of the pair interaction part of the (unknown) potential in terms of the truncated correlation functions of all orders, at infinite volume. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14681 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An inversion formula for the 2-body interaction given the correlation functions Frommer, Fabio Kuna, Tobias Tsagkarogiannis, Dimitrios Mathematical Physics Probability 60G55, 82B21 Given a classical gas described by the truncated correlation functions of all orders, we prove convergence of an expansion of the pair interaction part of the (unknown) potential in terms of the truncated correlation functions of all orders, at infinite volume. |
| title | An inversion formula for the 2-body interaction given the correlation functions |
| topic | Mathematical Physics Probability 60G55, 82B21 |
| url | https://arxiv.org/abs/2604.14681 |