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2011 Internal DLA generated by cookie random walks on $\mathbb{Z}$
Olivier Raimond, Bruno Schapira
Author Affiliations +
Electron. Commun. Probab. 16: 483-490 (2011). DOI: 10.1214/ECP.v16-1646

Abstract

We prove a law of large numbers for the right boundary in the model of internal DLA generated by cookie random walks in dimension one. The proof is based on stochastic recursions techniques.

Citation

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Olivier Raimond. Bruno Schapira. "Internal DLA generated by cookie random walks on $\mathbb{Z}$." Electron. Commun. Probab. 16 483 - 490, 2011. https://doi.org/10.1214/ECP.v16-1646

Information

Accepted: 28 August 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1244.60032
MathSciNet: MR2831086
Digital Object Identifier: 10.1214/ECP.v16-1646

Subjects:
Primary: 60F15
Secondary: 60K35

Keywords: excited random walk , Internal DLA , Law of Large Numbers

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