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2015 Fine asymptotics for the consistent maximal displacement of branching Brownian motion
Matthew Roberts
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Electron. J. Probab. 20: 1-26 (2015). DOI: 10.1214/EJP.v20-2912

Abstract

It is well-known that the maximal particle in a branching Brownian motion sits near $\sqrt2 t - \frac{3}{2\sqrt2}\log t$ at time $t$. One may then ask about the paths of particles near the frontier: how close can they stay to this critical curve? Two different approaches to this question have been developed. We improve upon the best-known bounds in each case, revealing new qualitative features including marked differences between the two approaches.

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Matthew Roberts. "Fine asymptotics for the consistent maximal displacement of branching Brownian motion." Electron. J. Probab. 20 1 - 26, 2015. https://doi.org/10.1214/EJP.v20-2912

Information

Accepted: 13 March 2015; Published: 2015
First available in Project Euclid: 4 June 2016

zbMATH: 1320.60145
MathSciNet: MR3325098
Digital Object Identifier: 10.1214/EJP.v20-2912

Subjects:
Primary: 60J80

JOURNAL ARTICLE
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