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math.PR2026
Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition
Fabio Coppini, Wioletta M. Ruszel
The paper proves central limit theorems for nonlinear functionals of discrete Gaussian fields on a lattice using Wiener chaos decomposition, showing that even powers converge to Ga…
math.PR2026
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…