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math.PR2025
Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition
Fabio Coppini, Wioletta M. Ruszel
We review and present some known results for non-linear functionals of Gaussian variables in the context of discrete Gaussian fields defined on the dimensional lattice. Our mai…
math.PR2025
Wick theorem for analytic functions of Gaussian fields
Fabio Coppini, Wioletta M. Ruszel, Dirk Schuricht
We compute the correlation of analytic functions of general Gaussian fields in terms of multigraphs and Feynman diagrams on the lattice Z^d. Then, we connect its scaling limit to t…