Excited random walk in three dimensions has positive speed

Gady Kozma

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Excited random walk in three dimensions has positive speed

Gady Kozma

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Abstract

Excited random walk is a random walk that has a positive drift to the right when it reaches a vertex it hasn't been to before. We show that in three dimensions the walk drifts to the right in non-zero speed.

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Gady Kozma. 2003-10-20. Excited random walk in three dimensions has positive speed. https://arxiv.org/abs/math/0310305

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