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  1. Home > Articles & Issues >
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  3. Area of Brownian Mot ...
Conference paper

Area of Brownian Motion with Generatingfunctionology

Michel Nguyên Thê (1) (2)
(1) Laboratoire d'informatique de l'École polytechnique [Palaiseau]
(2) Laboratoire d'Informatique Gaspard-Monge
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Imported on
May 10, 2017
Published on
December 31, 2002
Last modified on
March 31, 2025
Volume 0
DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)
Proceedings
DOI
10.46298/dmtcs.3321
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https://about.hal.science/hal-authorisation-v1
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Area of Brownian Motion with Generatingfunctionology

Michel Nguyên Thê (1) (2)
(1) Laboratoire d'informatique de l'École polytechnique [Palaiseau]
(2) Laboratoire d'Informatique Gaspard-Monge
Abstract
This paper gives a survey of the limit distributions of the areas of different types of random walks, namely Dyck paths, bilateral Dyck paths, meanders, and Bernoulli random walks, using the technology of generating functions only.
Keywords
  • [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]
  • Dyck path
  • Bernoulli random walk
  • Brownian motion
  • generating functions
  • weak convergence of stochastic processes.
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Source: OpenCitations

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