Monotonicity for excited random walk in high dimensions
classification
🧮 math.PR
keywords
betaexcitedrandomwalkdimensiondimensionsdriftexcitement
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We prove that the drift $\theta(d,\beta)$ for excited random walk in dimension $d$ is monotone in the excitement parameter $\beta \in[0, 1]$, when $d\ge 9$.
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