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- W4302040997 abstract "In the randomly-oriented Manhattan lattice, every line in $mathbb{Z}^d$ is assigned a uniform random direction. We consider the directed graph whose vertex set is $mathbb{Z}^d$ and whose edges connect nearest neighbours, but only in the direction fixed by the line orientations. Random walk on this directed graph chooses uniformly from the $d$ legal neighbours at each step. We prove that this walk is superdiffusive in two and three dimensions. The model is diffusive in four and more dimensions." @default.
- W4302040997 created "2022-10-06" @default.
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- W4302040997 date "2018-02-05" @default.
- W4302040997 modified "2023-10-01" @default.
- W4302040997 title "Random walk on the randomly-oriented Manhattan lattice" @default.
- W4302040997 doi "https://doi.org/10.48550/arxiv.1802.01558" @default.
- W4302040997 hasPublicationYear "2018" @default.
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