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Tokyo Probability Seminar
Seminar information archive ～05/01｜Next seminar｜Future seminars 05/02～
| Date, time & place | Monday 16:00 - 17:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Makiko Sasada, Shuta Nakajima, Masato Hoshino |
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)
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.
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.
