Cusick, Thomas W.


Lonely runner conjecture ★★★

Author(s): Cusick; Wills

Conjecture   Suppose $ k $ runners having distinct constant speeds start at a common point and run laps on a circular track with circumference 1. Then for any given runner, there is a time at which that runner is distance at least $ \frac{1}{k} $ (along the track) away from every other runner.

Keywords: diophantine approximation; view obstruction

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