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arXiv · 2412.16912

Trees that can be grown in "too many" ways: A review of Bouch's construction

Hal Tasaki
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Abstract

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.)

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Hal Tasaki. 2024-12-22. Trees that can be grown in "too many" ways: A review of Bouch's construction. https://arxiv.org/abs/2412.16912

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