Tangent fields and the local structure of random fields
type: Item
instance of: scholarly article
title: Tangent fields and the local structure of random fields
zbMATH Open document ID: 1013.60028
DOI: 10.1023/A:1016276016983
published in: Journal of Theoretical Probability
publication date: 2003-04-03T00:00:00Z
review text: This paper examines the local structure of a random field \(X\) on \(\mathbb{R}^N\), such that \(\lim_{n\to\infty} (X(z+r_nt)- X(z))/c_n\) is defined to be a tangent field for sequences \(r_n\searrow 0\) and \(c_n\searrow 0\). The paper develops general properties of tangent fields.
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 60G18
zbMATH DE Number: 1892245
zbMATH Keywords: tangent fields
zbMATH Keywords: fractional Brownian motion
zbMATH Keywords: self-similar processes
zbMATH Keywords: strong invariance
zbMATH Keywords: random fields
author: Kenneth J. Falconer
reviewed by: Nikolai N. Leonenko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1892245