31 citations · 44 across the 4 of their papers we have counts for
5 papers · 1 filter
q-Levy processes
Michael Anshelevich
We continue the investigation of the Levy processes on a q-deformed full Fock space started in a previous paper. First, we show that the vacuum vector is cyclic and separating for…
Ito formula for free stochastic integrals
Michael Anshelevich
The objects under investigation are the stochastic integrals with respect to free Levy processes. We define such integrals for square-integrable integrands, as well as for a certai…
Free stochastic measures via noncrossing partitions II
Michael Anshelevich
We show that for stochastic measures with freely independent increments, the partition-dependent stochastic measures of math.OA/9903084 can be expressed purely in terms of the high…
Free stochastic measures via noncrossing partitions
Michael Anshelevich
We consider free multiple stochastic measures in the combinatorial framework of the lattice of all diagonals of an n-dimensional space. In this free case, one can restrict the anal…
The linearization of the central limit operator in free probability theory
Michael Anshelevich
We interpret the Central Limit Theorem as a fixed point theorem for a certain operator, and consider the problem of linearizing this operator. In classical as well as in free proba…