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2015 On strict monotonicity of the speed for excited random walks in one dimension
Mark Holmes
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Electron. Commun. Probab. 20: 1-7 (2015). DOI: 10.1214/ECP.v20-4212

Abstract

We give a “direct” coupling proof of strict monotonicity of the speed for 1-dimensional multi-excited random walks with positive speed. This reproves (and extends) a recent result of Peterson without using branching processes.

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Mark Holmes. "On strict monotonicity of the speed for excited random walks in one dimension." Electron. Commun. Probab. 20 1 - 7, 2015. https://doi.org/10.1214/ECP.v20-4212

Information

Accepted: 7 June 2015; Published: 2015
First available in Project Euclid: 7 June 2016

zbMATH: 1322.60217
MathSciNet: MR3358963
Digital Object Identifier: 10.1214/ECP.v20-4212

Subjects:
Primary: 60K37
Secondary: 60K35

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