Wiener Chaos: Moments, Cumulants and Diagrams: A Survey with Computer Implementation

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Second-order properties and central limit theorems for geometric functionals of Boolean models (2013, methodology): “ of σ. Let Πe(1) ij (resp., Πe (2) ij ) be the set of all partitions σ∈ Πeij such that {1,2i+ 1},{i+1,2i+j+1} ∈σ(resp. {1,i+1,2i+1,2i+j+1} ∈σ). In the terminology of diagram formulae as it is used in [24], Chapter 4, condition (iii) means that πand σgenerate a “connected diagram.” Now we are able to”
Generalized Hermite processes, discrete chaos and limit theorems (2013, background): “(Proposition 9.3.1 of Peccati and Taqqu [23]) Let gj(x) be a real-valued function in L2(Rkj ), j = 1, . . . , J .”
Properties and numerical evaluation of the Rosenblatt distribution (2013, background): “For background on such integrals, see [17] or [15].”