Excited random walk in three dimensions has positive speed

2003/10/20 by Gady Kozma, Kozma, Gady · 4 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR

paper · pdf · doi:10.48550/arxiv.math/0310305

13 pages

arxiv created 2003/10/20 · arxiv updated 2009/12/01

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.

Cited by

• Monotonicity for excited random walk in high dimensions
• Positively and negatively excited random walks on integers, with branching processes
• Excited random walk in two dimensions has linear speed
• Excited Brownian Motions

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