Branching Brownian motion: Almost sure growth along scaled paths

Simon C Harris; Matthew I Roberts

doi:10.1007/978-3-642-27461-9_17

Branching Brownian motion: Almost sure growth along scaled paths

Simon C Harris, Matthew I Roberts

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Abstract

We give a proof of a result on the growth of the number of particles along chosen paths in a branching Brownian motion. The work follows the approach of classical large deviations results, in which paths of particles in C[0, T], for large T, are rescaled onto C[0, 1]. The methods used are probabilistic and take advantage of modern spine techniques.

Original language	English
Pages (from-to)	375-399
Journal	Séminaire de Probabilités
Volume	XLIV
DOIs	https://doi.org/10.1007/978-3-642-27461-9_17
Publication status	Published - 2012

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title = "Branching Brownian motion: Almost sure growth along scaled paths",

abstract = "We give a proof of a result on the growth of the number of particles along chosen paths in a branching Brownian motion. The work follows the approach of classical large deviations results, in which paths of particles in C[0, T], for large T, are rescaled onto C[0, 1]. The methods used are probabilistic and take advantage of modern spine techniques. ",

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AU - Harris, Simon C

AU - Roberts, Matthew I

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N2 - We give a proof of a result on the growth of the number of particles along chosen paths in a branching Brownian motion. The work follows the approach of classical large deviations results, in which paths of particles in C[0, T], for large T, are rescaled onto C[0, 1]. The methods used are probabilistic and take advantage of modern spine techniques.

AB - We give a proof of a result on the growth of the number of particles along chosen paths in a branching Brownian motion. The work follows the approach of classical large deviations results, in which paths of particles in C[0, T], for large T, are rescaled onto C[0, 1]. The methods used are probabilistic and take advantage of modern spine techniques.

UR - https://www.scopus.com/pages/publications/84861817957

UR - http://arxiv.org/abs/0906.0291v1

UR - http://dx.doi.org/10.1007/978-3-642-27461-9_17

U2 - 10.1007/978-3-642-27461-9_17

DO - 10.1007/978-3-642-27461-9_17

M3 - Article

SN - 1721-8766

VL - XLIV

SP - 375

EP - 399

JO - Séminaire de Probabilités

JF - Séminaire de Probabilités

ER -

Branching Brownian motion: Almost sure growth along scaled paths

Abstract

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