On strict monotonicity of the speed for excited random walks in one dimension

Mark Holmes

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arXiv · 1502.07006

On strict monotonicity of the speed for excited random walks in one dimension

Mark Holmes

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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. 2015-02-24. On strict monotonicity of the speed for excited random walks in one dimension. https://arxiv.org/abs/1502.07006

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