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November 2001 Exact Convergence Rates For The Distribution of Particles in Branching Random Walks
Xia Chen
Ann. Appl. Probab. 11(4): 1242-1262 (November 2001). DOI: 10.1214/aoap/1015345402

Abstract

The exact convergence rates of the particle distributions in supercritical branching random walks and supercritical branching Wiener processes are obtained and a conjecture of Révész is confirmed.

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Xia Chen. "Exact Convergence Rates For The Distribution of Particles in Branching Random Walks." Ann. Appl. Probab. 11 (4) 1242 - 1262, November 2001. https://doi.org/10.1214/aoap/1015345402

Information

Published: November 2001
First available in Project Euclid: 5 March 2002

zbMATH: 1012.60080
MathSciNet: MR1878297
Digital Object Identifier: 10.1214/aoap/1015345402

Subjects:
Primary: 60F05 , 60F25 , 60I15

Keywords: central limit theorem , local limit theorem , Supercritical branching random walk , supercritical branching Wiener process

Rights: Copyright © 2001 Institute of Mathematical Statistics

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Vol.11 • No. 4 • November 2001
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