1997, English, Article edition: The Maximum of a Random Walk and Its Application to Rectangle Packing Coffman, E.G.; Flajolet, Philippe; Flatto, Leopold; ...

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Bookmark: http://trove.nla.gov.au/version/203096
Physical Description
  • text
Published
  • HAL - CCSD
  • 1997
Language
  • English

Edition details

Title
  • The Maximum of a Random Walk and Its Application to Rectangle Packing
Author
  • Coffman, E.G.
  • Flajolet, Philippe
  • Flatto, Leopold
  • Hofri, Micha
Published
  • HAL - CCSD
  • 1997
Physical Description
  • text
Subjects
Notes
  • We consider a symmetric random walk of length $n$ that starts at the origin and takes steps uniformly distributed on the real interval $[-1,+1]$. We study the large-$n$ behavior of the expected maximum excursion and prove a very precise estimate. This estimate applies to the problem of packing $n$ rectangles into a unit-width strip; in particular, it makes much more precise the known upper bound on the expected minimum height when the rectangle sides are $2n$ independent uniform random draws from $[0,1]$.
  • HAL:inria-00073466, version 1
  • HAL:http:/​/​hal.inria.fr/​inria-00073466/​en/​
Language
  • English
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