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Central Limit Theorem for Excited Random Walk in the Recurrent Regime
Recurrent Regime Excited Random Walk
2015/9/29
We consider excited random walk on a strip. We assume that the
cookies are positive and that the total expected drift per site is less than 1/L where
L is the width of the strip. We prove a quenched...
The following random process on Z4 is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is the last two coordinates ...
On the Speed of the One-dimensional Excited Random Walk in the Transient Regime
Excited Random Walk Pertubed Random Walk Law of Large Numbers
2009/6/12
We study a class of nearest-neighbor discrete time integer random walks introduced by Zerner (2005), the so called multi-excited random walks. The jump probabilities for such random walker have a drif...
Central Limit Theorem For The Excited Random Walk In Dimension d≥2
central limit theorem random walk law
2009/3/30
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension d≥2
Central Limit Theorem For The Excited Random Walk In Dimension d≥2
Central Limit Theorem Random Walk Dimension
2009/3/23
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension d≥2
