Free infinite divisibility for powers of free Generalized Inverse Gaussian distributions
九州確率論セミナー
開催期間
2018.6.22(金)
16:30 ~ 18:00
16:30 ~ 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
講演者
植田 優基 (北海道大学)
概要
【講演概要】:
We talk about the free infinite divisibility for the class of Generalized Power distributions with Free Poisson term (for short, GPFP distributions) which is a generalization of Marchenko-Pastur distributions and free Generalized Inverse Gaussian distributions (for short, fGIG distriutions). By a complex analytic method and a calculation of free cumulants, we study the free infinite divisibility for powers of random variable which follows GPFP distribution (in particular, fGIG distribution).
This is a jointwork with Junki Morishita (Hokkaido university).