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- W4308163902 abstract "We compute the precise logarithmic corrections to Alexander-Orbach behaviour for various quantities describing the geometric and spectral properties of the four-dimensional uniform spanning tree. In particular, we prove that the volume of an intrinsic $n$-ball in the tree is $n^2 (log n)^{-1/3+o(1)}$, that the typical intrinsic displacement of an $n$-step random walk is $n^{1/3} (log n)^{1/9-o(1)}$, and that the $n$-step return probability of the walk decays as $n^{-2/3}(log n)^{1/9-o(1)}$." @default.
- W4308163902 created "2022-11-08" @default.
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- W4308163902 date "2022-11-02" @default.
- W4308163902 modified "2023-10-17" @default.
- W4308163902 title "Logarithmic corrections to the Alexander-Orbach conjecture for the four-dimensional uniform spanning tree" @default.
- W4308163902 doi "https://doi.org/10.48550/arxiv.2211.01307" @default.
- W4308163902 hasPublicationYear "2022" @default.
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