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math.FA2019★ 21 cited
Weighted Number Operators on Bernoulli Functionals and Quantum Exclusion Semigroups
Caishi Wang, Yuling Tang, Suling Ren
Quantum Bernoulli noises (QBN, for short) are the family of annihilation and creation operators acting on Bernoulli functionals, which satisfy a canonical anti-commutation relation…
math.PR2019
Clark-Ocone Formula for Generalized Functionals of Discrete-Time Normal Noises
Caishi Wang, Shuai Lin, Ailing Huang
The Clark-Ocone formula in the theory of discrete-time chaotic calculus holds only for square integrable functionals of discrete-time normal noises. In this paper, we aim at extend…