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Excited random walk in two dimensions has linear speed

Gady Kozma
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Abstract

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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Gady Kozma. 2005-12-22. Excited random walk in two dimensions has linear speed. https://arxiv.org/abs/math/0512535

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