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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Recurrence and Transience of Multidimensional Elephant Random Walks
Recurrence and Transience of Multidimensional Elephant Random WalksAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact nobody. SSD - Stochastic systems for anomalous diffusion We prove a conjecture by Bertoin that the multidimensional elephant random walk on Z^d is transient in dimensions d ≥ 3. We show that it undergoes a phase transition in dimensions d = 1, 2 between recurrence and transience at p = (2d + 1)/(4d). We also generalize these results to the step-reinforced random walk under mild moments conditions. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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