On strict monotonicity of the speed for excited random walks in one dimension
classification
🧮 math.PR
keywords
speedmonotonicityrandomstrictwalksbranchingcouplingdimension
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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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