Excited random walk against a wall
classification
🧮 math.PR
keywords
randomwalkexcitedanalyzedimensionaldownencountersexpected
read the original abstract
We analyze random walk in the upper half of a three dimensional lattice which goes down whenever it encounters a new vertex, a.k.a. excited random walk. We show that it is recurrent with an expected number of returns of square-root log n.
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