Exhaustion of an interval by iterated Rényi parking

We study a variant of the Rényi parking problem in which car length is repeatedly halved and determine the rate at which the remaining space decays.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2017-02, Vol.446 (1), p.38-61
Main Authors: Mackey, Michael, Sullivan, Wayne G.
Format: Article
Language:English
Subjects:
Rényi parking
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Description
Summary:We study a variant of the Rényi parking problem in which car length is repeatedly halved and determine the rate at which the remaining space decays.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2016.08.025