Binary Trees, Exploration Processes, and an Extended Ray-Knight Theorem
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Published:2012-03
Issue:01
Volume:49
Page:210-225
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ISSN:0021-9002
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Container-title:Journal of Applied Probability
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language:en
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Short-container-title:J. Appl. Probab.
Author:
Ba Mamadou,Pardoux Etienne,Sow Ahmadou Bamba
Abstract
We study the bijection between binary Galton-Watson trees in continuous time and their exploration process, both in the subcritical and in the supercritical cases. We then take the limit over renormalized quantities, as the size of the population tends to ∞. We thus deduce Delmas' generalization of the second Ray-Knight theorem.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
2 articles.
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