Lengths and heights of random walk excursions

Consider a simple symmetric random walk on the line. The parts of the random walk between consecutive returns to the origin are called excursions. The heights and lengths of these excursions can be arranged in decreasing order. In this paper we give the exact and limiting distributions of these rank...

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Bibliographic Details
Main Authors: Endre Csáki, Yueyun Hu
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2003-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3337/pdf