Scaling limits for fractional polyharmonic Gaussian fields

This work is concerned with fractional Gaussian fields, i.e. Gaussian fields whose covariance operator is given by the inverse fractional Laplacian \((-\Delta)^{-s}\) (where, in particular, we include the case \(s >1\)). We define a lattice discretization of these fields and show that their scali...

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Veröffentlicht in:	arXiv.org 2024-07
Hauptverfasser:	De Nitti, Nicola, Schweiger, Florian
Format:	Artikel
Sprache:	eng
Schlagworte:	Finite difference method Function space Operators (mathematics) Topology
Online-Zugang:	Volltext
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