Cumulants in Noncommutative Probability Theory III. Creation and annihilation operators on Fock spaces
نویسنده
چکیده
Cumulants of noncommutative random variables arising from Fock space constructions are considered. In particular, simplified calculations are given for several known examples on q-Fock spaces. In the second half of the paper we consider in detail the Fock states associated to characters of the infinite symmetric group recently constructed by Bożejko and Guta. We express moments of multidimensional Dyck words in terms of the so called cycle indicator polynomials of certain digraphs.
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