The Annals of Applied Probability

Exact Convergence Rates For The Distribution of Particles in Branching Random Walks

Xia Chen

Full-text: Open access

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.

Article information

Source
Ann. Appl. Probab., Volume 11, Number 4 (2001), 1242-1262.

Dates
First available in Project Euclid: 5 March 2002

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1015345402

Digital Object Identifier
doi:10.1214/aoap/1015345402

Mathematical Reviews number (MathSciNet)
MR1878297

Zentralblatt MATH identifier
1012.60080

Subjects
Primary: 60F05: Central limit and other weak theorems 60I15 60F25: $L^p$-limit theorems

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

Citation

Chen, Xia. Exact Convergence Rates For The Distribution of Particles in Branching Random Walks. Ann. Appl. Probab. 11 (2001), no. 4, 1242--1262. doi:10.1214/aoap/1015345402. https://projecteuclid.org/euclid.aoap/1015345402


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References

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