A Monotonicity Result for the Range of a Perturbed Random Walk

Preprint English OPEN
Chen, Lung-Chi; Sun, Rongfeng; (2012)
  • Subject: Mathematics - Probability | 60K37, 60K35, 82C22

We consider a discrete time simple symmetric random walk on Z^d, d>=1, where the path of the walk is perturbed by inserting deterministic jumps. We show that for any time n and any deterministic jumps that we insert, the expected number of sites visited by the perturbed... View more
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