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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.05434 |
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| _version_ | 1866915920000057344 |
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| author | Kotani, Shinichi Xu, Jiahao Zhang, Shuo |
| author_facet | Kotani, Shinichi Xu, Jiahao Zhang, Shuo |
| contents | A Toda flow is constructed starting from a certain class of unbounded initial conditions including sequences growing with power order of less than 1. Unbounded ergodic sequences are allowed, and especially \b{eta}-ensembles matrix models in random matrix theory can be an initial data and they yiled invariant measures for the flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05434 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Toda flow with unbounded initial data Kotani, Shinichi Xu, Jiahao Zhang, Shuo Spectral Theory 35Q51 (Primary), 37K40 (Secondary) A Toda flow is constructed starting from a certain class of unbounded initial conditions including sequences growing with power order of less than 1. Unbounded ergodic sequences are allowed, and especially \b{eta}-ensembles matrix models in random matrix theory can be an initial data and they yiled invariant measures for the flow. |
| title | Toda flow with unbounded initial data |
| topic | Spectral Theory 35Q51 (Primary), 37K40 (Secondary) |
| url | https://arxiv.org/abs/2604.05434 |