## 東京確率論セミナー

開催情報 月曜日　16:00～17:30　数理科学研究科棟(駒場) 126号室 佐々田 槙子, 久保田 直樹 (日本大学), 阿部 圭宏 (学習院大学)

### 2017年12月04日(月)

16:00-17:30   数理科学研究科棟(駒場) 128号室

Some results for range of random walk on graph with spectral dimension two (JAPANESE)
[ 講演概要 ]
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.