The Brownian excursion multi-dimensional local time density-Reference-Cited by-同舟云学术

The Brownian excursion multi-dimensional local time density

Published:1999-06 Issue:2 Volume:36 Page:350-373
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Gittenberger Bernhard,Louchard Guy

Abstract

Expressions for the multi-dimensional densities of Brownian excursion local time are derived by two different methods: a direct method based on Kac's formula for Brownian functionals and an indirect one based on a limit theorem for Galton–Watson trees.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference24 articles.

1. On the distribution of the number of vertices in layers of random trees

2. On the Altitude of Nodes in Random Trees

3. On the explicit form of the density of Brownian excursion local time

4. The asymptotic contour process of a binary tree is a Brownian excursion

5. [9] Gittenberger B. (1999). On the contour of random trees. To appear in SIAM J. Discrete Math.

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