Tokyo Probability Seminar

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Monday 16:00 - 17:30 126Room #126 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Makiko Sasada, Shuta Nakajima

2017/12/04

16:00-17:30   Room #128 (Graduate School of Math. Sci. Bldg.)
Kazuki Okamura (Research Institute for Mathematical Sciences, Kyoto University)
Some results for range of random walk on graph with spectral dimension two (JAPANESE)
[ Abstract ]
We consider the range of random walk on graphs with spectral dimension two. We show that a certain weak law of large numbers hold if a recurrent graph satisfies a uniform condition. We construct a recurrent graph such that the uniform condition holds but appropriately scaled expectations fluctuate. Our result is applicable to showing LILs for lamplighter random walks in the case that the spectral dimension of the underlying graph is two.