Limit Theorems for the Hierarchy of Freeness
نویسنده
چکیده
The central limit theorem, the invariance principle and the Poisson limit theorem for the hierarchy of freeness are studied. We show that for given m ∈ IN the limit laws can be expressed in terms of non-crossing partitions of depth smaller or equal to m. For A = I C[x], we solve the associated moment problems and find explicitly the discrete limit measures.
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تاریخ انتشار 2001