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• W2017565711 abstract "We study the simple random walk on the uniform spanning tree on $${mathbb {Z}^2}$$ . We obtain estimates for the transition probabilities of the random walk, the distance of the walk from its starting point after n steps, and exit times of both Euclidean balls and balls in the intrinsic graph metric. In particular, we prove that the spectral dimension of the uniform spanning tree on $${mathbb {Z}^2}$$ is 16/13 almost surely." @default.
• W2017565711 created "2016-06-24" @default.
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• W2017565711 date "2011-04-30" @default.
• W2017565711 modified "2023-09-26" @default.
• W2017565711 title "Spectral Dimension and Random Walks on the Two Dimensional Uniform Spanning Tree" @default.
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• W2017565711 doi "https://doi.org/10.1007/s00220-011-1251-8" @default.
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