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arxiv: math/0512535 · v1 · submitted 2005-12-22 · 🧮 math.PR

Excited random walk in two dimensions has linear speed

classification 🧮 math.PR
keywords dimensionsexcitedrandomrightwalkdriftdriftsencounters
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Excited random walk is a process that has a drift to the right whenever it encounters a new vertex. The paper shows that in two dimensions it drifts to the right linearly in time.

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