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- W4296976813 abstract "Suppose that $k$ runners having different constant speeds run laps on a circular track of unit length. The Lonely Runner Conjecture states that, sooner or later, any given runner will be at distance at least $1/k$ from all the other runners. We prove that, with probability tending to one, a much stronger statement holds for random sets in which the bound $1/k$ is replaced by thinspace $1/2-varepsilon $. The proof uses Fourier analytic methods. We also point out some consequences of our result for colouring of random integer distance graphs." @default.
- W4296976813 created "2022-09-25" @default.
- W4296976813 creator A5005273849 @default.
- W4296976813 date "2011-02-22" @default.
- W4296976813 modified "2023-09-26" @default.
- W4296976813 title "Random runners are very lonely" @default.
- W4296976813 doi "https://doi.org/10.48550/arxiv.1102.4464" @default.
- W4296976813 hasPublicationYear "2011" @default.
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