A Note on Lacunary Lonely Runners
This paper has been withdrawn by the author.
See the erratum below.
Department of Financial Mathematics
University of Linz
We give a simple argument proving the lonely runner conjecture in the
case where the speed of the runners forms a certain lacunary sequence.
This improves an earlier result by Pandey, and is then used to derive
that for each number of runners the lonely runner conjecture is true
for a set of nonzero measure in a natural probability space.
Full version: pdf,
Received September 9 2010;
revised version received September 19 2010.
Published in Journal of Integer Sequences, December 6 2010.
Withdrawn, January 3 2011.
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