On the ornstein—uhlenbeck process
Shizan Fang
Abstract
Shizan Fang
Abstract
The paper has two objects. First, we study some properties of Ornstein-Uhlenbeck process on the Wiener space X by using the Lyons–Zheng's method of forward and backward martingales. Especially, estimates of large deviations for will be obtained. Secondly, we turn our attention to some analytic results by means of Ornstein–Uhlenbeck process
OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The paper has two objects. First, we study some properties of Ornstein-Uhlenbeck process on the Wiener space X by using the Lyons–Zheng's method of forward and backward martingales. Especially, estimates of large deviations for will be obtained. Secondly, we turn our attention to some analytic results by means of Ornstein–Uhlenbeck process
Key concepts: Ornstein–Uhlenbeck process, Mathematics, Wiener process, Space (punctuation), Stochastic process, Mathematical analysis, Applied mathematics, Statistical physics