Wong-Zakai approximation of density functions
九州確率論セミナー
開催期間
2024.5.17(金)
16:30 ~ 18:00
16:30 ~ 18:00
場所
ウエスト1号館 D-725
講演者
稲濱 譲(九州大学)
概要
We discuss the Wong-Zakai approximation of probability density functions
of solutions (at a fixed time) of rough differential equations driven by
fractional Brownian rough path with Hurst parameter H (1/2 >= H > 1/4).
Besides rough path theory, we also use Hu-Watanabe's approximation
theorem in the framework of Watanabe's distributional Malliavin
calculus. When H=1/2, the random rough differential equations coincide
with the corresponding Stratonovich-type stochastic differential
equations. Even for that case, our main result seems new. (arXiv:
2304.01449.)