Exhaustion of an interval by iterated Renyi parking
Michael Mackey, Wayne G. Sullivan
TL;DR
This paper investigates a modified Rnyi parking problem where car length is halved repeatedly, analyzing how quickly the available space diminishes over iterations.
Contribution
It introduces a novel variant of the Rnyi parking problem with iterative halving of car length and derives the decay rate of remaining space.
Findings
Derived the decay rate of remaining space in the iterative parking process
Established mathematical bounds for the space exhaustion rate
Provided insights into the dynamics of space utilization in the variant
Abstract
We study a variant of the R\'enyi parking problem in which car length is repeatedly halved and determine the rate at which the remaining space decays.
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