Number Theory


Uncertainty and the Lonely Runner Conjecture

Authors: John Atwell Moody

By convolving the distribution of one of the non-chosen runners with a step function (to introduce some uncertainty in its start time) we arrange that the mutual expectation reverts to the continuous extension of its value in the transcendental case.

Comments: 9 Pages.

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Submission history

[v1] 2017-07-13 03:54:39
[v2] 2017-07-13 07:41:09
[v3] 2017-07-14 06:25:46
[v4] 2017-07-15 02:12:22
[v5] 2017-07-21 06:58:15
[v6] 2017-09-08 04:10:25
[v7] 2017-10-19 18:21:15

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