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On the ornstein—uhlenbeck process

Shizan Fang

Open publisher page 22 citations

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

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What this paper is about

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

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OpenAlex reports 22 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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

Key concepts: Ornstein–Uhlenbeck process, Mathematics, Wiener process, Space (punctuation), Stochastic process, Mathematical analysis, Applied mathematics, Statistical physics

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