Excited random walk in two dimensions has linear speed

2005/12/22 by Gady Kozma, Kozma, Gady · 2 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.math/0512535

openalex publication_date 2005/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Excited random walk in three dimensions has positive speed

Cited by

• Recurrence and transience of excited random walks on \Z^d and strips
• Excited Brownian Motions

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