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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.15524 |
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| _version_ | 1866917894110052352 |
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| author | Kanegae, Kazuna Wachi, Hidetada |
| author_facet | Kanegae, Kazuna Wachi, Hidetada |
| contents | Caputo, Ligget, and Richthammer proved Aldous' spectral gap conjecture, which asserts that the spectral gaps of a random walk and an interchange process on the common weighted graph are equal. In this paper, we will prove an analogue of Aldous' spectral gap conjecture for generalized exclusion processes, which explicitly describes the spectral gap of a generalized exclusion process by the spectral gap of a random walk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15524 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Analogue of Aldous' spectral gap conjecture for the generalized exclusion process Kanegae, Kazuna Wachi, Hidetada Probability 60K35, 60J27, 20B30 Caputo, Ligget, and Richthammer proved Aldous' spectral gap conjecture, which asserts that the spectral gaps of a random walk and an interchange process on the common weighted graph are equal. In this paper, we will prove an analogue of Aldous' spectral gap conjecture for generalized exclusion processes, which explicitly describes the spectral gap of a generalized exclusion process by the spectral gap of a random walk. |
| title | The Analogue of Aldous' spectral gap conjecture for the generalized exclusion process |
| topic | Probability 60K35, 60J27, 20B30 |
| url | https://arxiv.org/abs/2309.15524 |