Data di Pubblicazione:
2022
Abstract:
In this paper we obtain a range of quantitative results of the following type: given two centred Gaussian fields with close covariance kernels we construct a coupling such that the fields are uniformly close on some compact with probability very close to one. As an application we show that it is possible to couple arithmetic random waves so that they converge locally uniformly to the random plane wave and estimate the rate of convergence.
Tipologia CRIS:
03A-Articolo su Rivista
Keywords:
Arithmetic random waves; Gaussian fields; Nodal domains
Elenco autori:
Beliaev D.; Maffucci R.W.
Link alla scheda completa:
Pubblicato in: