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- W4301427720 abstract "Let $W$ be an integer valued random variable satisfying $E[W] =: delta geq 0$ and $P(W<0)>0$, and consider a self-interacting random walk that behaves like a simple symmetric random walk with the exception that on the first visit to any integer $xin mathbb{Z}$ the size of the next step is an independent random variable with the same distribution as $W$. We show that this self-interacting random walk is recurrent if $deltaleq 1$ and transient if $delta>1$. This is a special case of our main result which concerns the recurrence and transience of excited random walks (or cookie random walks) with non-nearest neighbor jumps." @default.
- W4301427720 created "2022-10-05" @default.
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- W4301427720 date "2015-04-20" @default.
- W4301427720 modified "2023-09-23" @default.
- W4301427720 title "Excited random walks with non-nearest neighbor steps" @default.
- W4301427720 doi "https://doi.org/10.48550/arxiv.1504.05124" @default.
- W4301427720 hasPublicationYear "2015" @default.
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