Trees that can be grown in "too many" ways: A review of Bouch's construction
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915090131845120 |
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| author | Tasaki, Hal |
| author_facet | Tasaki, Hal |
| contents | We carefully review the hierarchical construction by Bouch [Bouch2015] of trees on the square lattice that can be grown from its root in $L!/C^L$ distinct ways, where $L$ denotes the number of bonds constituting the tree, and $C>1$ is a constant. (As discussed in Section IV.A of [ParkerCaoAvdoshkinScaffidiAltman2019] and Appendix A.3 of [ShiraishiTasaki2024], this result has an implication on the operator growth in quantum spin systems in two or higher dimensions.) |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_16912 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Trees that can be grown in "too many" ways: A review of Bouch's construction Tasaki, Hal Mathematical Physics Statistical Mechanics Pattern Formation and Solitons Quantum Physics We carefully review the hierarchical construction by Bouch [Bouch2015] of trees on the square lattice that can be grown from its root in $L!/C^L$ distinct ways, where $L$ denotes the number of bonds constituting the tree, and $C>1$ is a constant. (As discussed in Section IV.A of [ParkerCaoAvdoshkinScaffidiAltman2019] and Appendix A.3 of [ShiraishiTasaki2024], this result has an implication on the operator growth in quantum spin systems in two or higher dimensions.) |
| title | Trees that can be grown in "too many" ways: A review of Bouch's construction |
| topic | Mathematical Physics Statistical Mechanics Pattern Formation and Solitons Quantum Physics |
| url | https://arxiv.org/abs/2412.16912 |