A note on transience of generalized many-dimensional excited random walks
Abstract
We consider a variation of the Generalized Excited Random Walk (GERW) in dimension d 2 where the lower bound on the drift for excited jumps is time-dependent and decays to zero. We show that if the lower bound decays slower that n-β (n is time), for β depending on the transitions of the process, the GERW is transient in the direction of the drift.
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