開催日時
2024/05/17 Fri 15:30 - 17:00
場所
3号館552号室
講演者
Ryoji Takano
講演者所属
Osaka University
概要
In this talk, we will focus on the large deviation principle (LDP) for stochastic differential equations driven by stochastic integrals in one dimension. The result can be proved with a minimal use of rough path theory, and this implies the LDP for many class of rough volatility models, and it characterizes the asymptotic behavior of implied volatility. First, we introduce a new concept called $\alpha$-Uniformly Exponentially Tightness, and prove the LDP for stochastic integrals on Hölder spaces. Second, we apply this type of LDP to deduce the LDP for stochastic differential equations driven by stochastic integrals in one dimension.