Leonid Tolmatz - The Saddle Point Method for the Integral of the Absolute Value of the Brownian Motion

dmtcs:3332 - Discrete Mathematics & Theoretical Computer Science, January 1, 2003, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) - https://doi.org/10.46298/dmtcs.3332
The Saddle Point Method for the Integral of the Absolute Value of the Brownian MotionArticle

Authors: Leonid Tolmatz 1

  • 1 School of Mathematics and Statistics

The distribution function of the integral of the absolute value of the Brownian motion was expressed by L.Takács in the form of various series. In the present paper we determine the exact tail asymptotics of this distribution function. The proposed method is applicable to a variety of other Wiener functionals as well.

https://doi.org/10.46298/dmtcs.3332
Source: HAL:hal-01183927v1
Volume: DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)
Section: Proceedings
Published on: January 1, 2003
Imported on: May 10, 2017
Keywords: Brownian motion,distribution,moments,asymptotics,saddle point,Airy functions.,[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG]

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