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Remarks on sub-fractional Bessel processes
Authors:Shen Guangjun  Chen Chao  Yan Litan
Institution:aDepartment of Mathematics, East China University of Science and Technology, Shanghai 200237, China;bDepartment of Mathematics, Anhui Normal University, Wuhu 241000, China;cDepartment of Mathematics, East China University of Science and Technology, Shanghai 200237, China;dDepartment of Mathematics, Donghua University, Shanghai 201620, China
Abstract:Let S = {(S1t,…,Sdt)}t≥0 denote a d-dimensional sub-fractional Brownian motion with index H≥1/2. In this paper we study some properties of the process X of the form View the MathML source where View the MathML source is the sub-fractional Bessel process.
Keywords:sub-fractional Brownian motion  Malliavin calculus  sub-fractional Bessel processes  chaos expansion
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