Simple analyticity criteria for repulsive multi-body potentials
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911138456797184 |
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| author | Helmuth, Tyler Pappik, Marcus Perkins, Will |
| author_facet | Helmuth, Tyler Pappik, Marcus Perkins, Will |
| contents | We prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound improves on those previously known, and we demonstrate that it is essentially sharp in the generality with which our arguments apply. The key ingredient is a multi-body generalization of integral identities for point densities of Gibbs point processes in the spirit of earlier work of Michelen and Perkins. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04287 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simple analyticity criteria for repulsive multi-body potentials Helmuth, Tyler Pappik, Marcus Perkins, Will Mathematical Physics Probability We prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound improves on those previously known, and we demonstrate that it is essentially sharp in the generality with which our arguments apply. The key ingredient is a multi-body generalization of integral identities for point densities of Gibbs point processes in the spirit of earlier work of Michelen and Perkins. |
| title | Simple analyticity criteria for repulsive multi-body potentials |
| topic | Mathematical Physics Probability |
| url | https://arxiv.org/abs/2509.04287 |