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Random walk on growing domains

Mathematical Physics & Probability

Speaker: Ruojun Huang, Stanford University
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Location: 2112 MSB
Start time: Wed, Apr 12 2017, 4:10PM

We consider recurrence versus transience of simple random walks on independently time-varying graphs, that are realized either as growing domains, or by increasing in time edge conductances. We are motivated to verify some conjectures on universality of the walks' behavior when the environment changes monotonically such as as above. We do so by establishing some heat kernel estimates for this walk.

Joint works with Amir Dembo, Takashi Kumagai, Ben Morris, Yuval Peres, Vladas Sidoravicius, and Tianyi Zheng.