Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices
type: Item
instance of: scholarly article
title: Mean anisotropy of homogeneous Gaussian random fields and anisotropic norms of linear translation-invariant operators on multidimensional integer lattices
zbMATH Open document ID: 1060.60053
DOI: 10.1155/S1048953303000169
author: Phil Diamond
author: Peter E. Kloeden
author: Igor G. Vladimirov
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2004-10-28T00:00:00Z
full work available at URL: https://eudml.org/doc/51242
review text: The paper is devoted to systematic comparison of the anisotropic functionals and anisotropic norms. These are considered for unboundedly growing fragments of homogeneous Gaussian random fields on multidimensional integer lattice to yield mean anisotropy. Also, the anisotropic norms of finite matrices are extended to bounded linear translation invariant operators over such fields.
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 2111796
zbMATH Keywords: Gaussian random field
zbMATH Keywords: Kullback-Leibler informational divergence
zbMATH Keywords: mean anisotropy
zbMATH Keywords: anisotropic norm
reviewed by: U. A. Rozikov
MaRDI profile type: Publication
OpenAlex ID: W2105201114
description: scientific article; zbMATH DE number 2111796