Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields
type: Item
instance of: scholarly article
title: Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields
zbMATH Open document ID: 1322.60069
DOI: 10.1090/S0002-9947-2012-05678-9
published in: Transactions of the American Mathematical Society
publication date: 2013-04-16T00:00:00Z
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 60G15
Mathematics Subject Classification ID: 60G17
Mathematics Subject Classification ID: 60G22
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 6154658
zbMATH Keywords: Gaussian random fields
zbMATH Keywords: anisotropy
zbMATH Keywords: sample path properties
zbMATH Keywords: fractional Brownian sheet
zbMATH Keywords: modulus of continuity
zbMATH Keywords: stochastic partial differential equations
zbMATH Keywords: law of iterated logarithm
Wikidata QID: Q39471673
MaRDI profile type: Publication
cites work: The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
cites work: Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
cites work: Elliptic Gaussian random processes
cites work: An asymptotic bound for the tail of the distribution of the maximum of a Gaussian process
cites work: Operator scaling stable random fields
cites work: Anisotropic analysis of some Gaussian models
cites work: Fernique type inequalities and moduli of continuity for \(l^ 2\)-valued Ornstein- Uhlenbeck processes
cites work: Hitting properties of parabolic s.p.d.e.'s with reflection.
cites work: Fractal Analysis of Surface Roughness by Using Spatial Data
cites work: On the most visited sites of symmetric Markov processes.
cites work: Q4096185
cites work: Random motion of strings and related stochastic evolution equations
cites work: Q4895038
cites work: Images of the Brownian sheet
cites work: Gaussian processes: Inequalities, small ball probabilities and applications
cites work: Markov Processes, Gaussian Processes, and Local Times
cites work: Small values of Gaussian processes and functional laws of the iterated logarithm
cites work: Hitting properties of a random string
cites work: Multiparameter Fractional Brownian Motion And Quasi-Linear Stochastic Partial Differential Equations
cites work: Sample functions of the \(N\)-parameter Wiener process
cites work: Q4160169
cites work: Hausdorff measure of trajectories of multiparameter fractional Brownian motion
cites work: Almost-sure path properties of fractional Brownian sheet
cites work: Geometric properties of fractional Brownian sheets
cites work: Hausdorff measure of the sample paths of Gaussian random fields
cites work: Q3605398
cites work: Q3252160
full work available at URL: s0002-9947-2012-05678-9
OpenAlex ID: W2027689690
description: scientific article; zbMATH DE number 6154658