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Discrete Mathematics & Theoretical Computer Science |
Svante Janson ; Guy Louchard ; Anders Martin-Löf - The maximum of Brownian motion with parabolic drift (Extended abstract)
dmtcs:2766 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10) - https://doi.org/10.46298/dmtcs.2766The maximum of Brownian motion with parabolic drift (Extended abstract)Article
- 1 Department of Mathematics [Uppsala]
- 2 Uppsala University
- 3 Département d'Informatique [Bruxelles]
- 4 Department of Mathematics Stockholm University
We study the maximum of a Brownian motion with a parabolic drift; this is a random variable that often occurs as a limit of the maximum of discrete processes whose expectations have a maximum at an interior point. This has some applications in algorithmic and data structures analysis. We give series expansions and integral formulas for the distribution and the first two moments, together with numerical values to high precision.
Source: HAL:hal-01185564v1
Volume: DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)
Section: Proceedings
Published on: January 1, 2010
Imported on: January 31, 2017
Keywords: Brownian motion,parabolic drift,Airy functions.,[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG]
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