マス・フォア・インダストリ研究所

セミナー



リスト 全て(掲示受付分)(1730) 今日・明日のセミナー(0)

Differentiability of the speed of biased random walks on Galton-Watson trees


開催時期 2019-10-25 16:30~2019-10-25 18:00

場所 九州大学 伊都キャンパス ウエスト1号館 中セミナー室 W1-D-725

受講対象 研究者・大学院生 

講師 得重 雄毅 (京都大学)

【講演概要】
We prove that the speed of a \lambda-biased random walk on a supercritical Galton-Watson tree is differentiable for \lambda such that the walk is ballistic and obeys a central limit theorem, and give an expression of the derivative using a certain 2-dimensional Gaussian random variable. The proof heavily uses the renewal structure of Galton-Watson trees that was introduced by Lyons-Pemantle-Peres. This talk is based on the joint work with Adam Bowditch (National University of Singapore).