Hausdorff measure and uniform dimension for space-time anisotropic Gaussian random fields
type: Item
instance of: scholarly article
title: Hausdorff measure and uniform dimension for space-time anisotropic Gaussian random fields
author: Weijie Yuan
author: Zhenlong Chen
published in: Journal of Theoretical Probability
publication date: 2024-08-24T00:00:00Z
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 60G15
Mathematics Subject Classification ID: 60G17
zbMATH DE Number: 7900850
zbMATH Keywords: anisotropic Gaussian random fields
zbMATH Keywords: Hausdorff measure
zbMATH Keywords: graph sets
MaRDI profile type: Publication
cites work: Q3935962
cites work: Operator scaling stable random fields
cites work: Hitting probabilities and the Hausdorff dimension of the inverse images of anisotropic Gaussian random fields
cites work: On intersections of independent anisotropic Gaussian random fields
cites work: Hausdorff-type measures of the sample path of Gaussian random fields
cites work: On intersections of independent space-time anisotropic Gaussian fields
cites work: Sample function properties of multi-parameter stable processes
cites work: Q4431283
cites work: The correct measure function for the graph of a transient stable process
cites work: Images of the Brownian sheet
cites work: Sectorial local non-determinism and the geometry of the Brownian sheet
cites work: Q5562405
cites work: Q3687398
cites work: Multiparameter Processes
cites work: Spectral conditions for strong local nondeterminism and exact Hausdorff measure of ranges of Gaussian random fields
cites work: The Hausdorff measure of the range and level sets of Gaussian random fields with sectorial local nondeterminism
cites work: Q4725429
cites work: Uniform dimension results for the Brownian sheet
cites work: Sample Path Properties of Operator-Slef-Similar Gaussian Random Fields
cites work: Limit distributions for sums of independent random vectors. Heavy tails in theory and practice
cites work: &lt;trans-title xml:lang=&quot;en&quot;/&gt;
cites work: Hausdorff measure of the range of space-time anisotropic Gaussian random fields
cites work: Dimension results for space-anisotropic Gaussian random fields
cites work: Sample path properties of processes with stable components
cites work: Q4160169
cites work: Functions continuous and singular with respect to a Hausdorff measure
cites work: Hausdorff measure of trajectories of multiparameter fractional Brownian motion
cites work: The measure theory of random fractals
cites work: Geometric properties of fractional Brownian sheets
cites work: Uniform dimension results for Gaussian random fields
cites work: Dimension results for Gaussian vector fields and index-\(\alpha\) stable fields
cites work: Hausdorff measure of the sample paths of Gaussian random fields
cites work: Hausdorff measure of the graph of fractional Brownian motion
cites work: Q4664799
cites work: Q3605398
cites work: Recent Developments on Fractal Properties of Gaussian Random Fields
cites work: Fractal and smoothness properties of space-time Gaussian models
DOI: 10.1007/S10959-024-01323-7
description: scientific article; zbMATH DE number 7900850