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- W4300587467 abstract "This work proves that the fluctuations of the cover time of simple random walk in the discrete torus of dimension at least three with large side-length are governed by the Gumbel extreme value distribution. This result was conjectured for example in the book by Aldous & Fill. We also derive some corollaries which qualitatively describe how covering happens. In addition, we develop a new and stronger coupling of the model of random interlacements, introduced by Sznitman, and random walk in the torus. This coupling is used to prove the cover time result and is also of independent interest." @default.
- W4300587467 created "2022-10-03" @default.
- W4300587467 creator A5085261179 @default.
- W4300587467 date "2012-02-01" @default.
- W4300587467 modified "2023-09-26" @default.
- W4300587467 title "Gumbel fluctuations for cover times in the discrete torus" @default.
- W4300587467 doi "https://doi.org/10.48550/arxiv.1202.0190" @default.
- W4300587467 hasPublicationYear "2012" @default.
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