Monotonicity for excited random walk in high dimensions

Details Monotonicity for excited random walk in high dimensions Monotonicity for excited random walk in high dimensions

2008-03-13

arxiv.org/abs/0803.1881v2

Mathematics

Probability

14 pages - changed references, typos

Scientific paper

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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