Excited Random Walk
classification
🧮 math.PR
keywords
randomexcitedwalkvertexvisitsbiasdirectionfirst
read the original abstract
A random walk on Z^d is excited if the first time it visits a vertex there is a bias in one direction, but on subsequent visits to that vertex the walker picks a neighbor uniformly at random. We show that excited random walk on Z^d, is transient iff d>1.
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