Strong local nondeterminism and exact modulus of continuity for isotropic Gaussian random fields on compact two-point homogeneous spaces
From MaRDI portal
Publication:6071177
DOI10.1007/s10959-022-01231-8arXiv2112.14874OpenAlexW4313531814MaRDI QIDQ6071177
Chunsheng Ma, Tianshi Lu, Yimin Xiao
Publication date: 21 November 2023
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.14874
Random fields (60G60) Gaussian processes (60G15) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sample path properties (60G17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral conditions for strong local nondeterminism and exact Hausdorff measure of ranges of Gaussian random fields
- 2010 Rietz lecture: When does the screening effect hold?
- Isotropic covariance matrix functions on compact two-point homogeneous spaces
- Sectorial local non-determinism and the geometry of the Brownian sheet
- Isotropic covariance matrix functions on all spheres
- Isotropic Gaussian random fields on the sphere: regularity, fast simulation and stochastic partial differential equations
- Correlation theory of stationary and related random functions. Volume II: Supplementary notes and references
- Multiple points of trajectories of multiparameter fractional Brownian motion
- Interpolation of spatial data. Some theory for kriging
- Small values of Gaussian processes and functional laws of the iterated logarithm
- Strong local nondeterminism of spherical fractional Brownian motion
- Time varying isotropic vector random fields on spheres
- Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields
- The screening effect in kriging
- Hausdorff measure of trajectories of multiparameter fractional Brownian motion
- Stochastic comparison for elliptically contoured random fields
- Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces
- Time-varying isotropic vector random fields on compact two-point homogeneous spaces
- Generalized dimensions of images of measures under Gaussian processes
- Two-point homogeneous spaces
- Positive definite functions on spheres
- Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis
- Strictly positive definite kernels on compact two-point homogeneous spaces
- Invariant Random Fields on Spaces with a Group Action
- Integral Geometry and Radon Transforms
- Random Fields on the Sphere
- On Spectral Representations of Tensor Random Fields on the Sphere
- Multidimensional covariant random fields on commutative locally compact groups
- The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
- A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds
- Gaussian processes on compact symmetric spaces
- Positive definite functions on the unit sphere and integrals of Jacobi polynomials
- A necessary and sufficient condition for strictly positive definite functions on spheres
- Fernique-type inequalities and moduli of continuity for anisotropic Gaussian random fields
- Stationary Gaussian random fields on hyperbolic spaces and on Euclidean spheres
- Recent Developments on Fractal Properties of Gaussian Random Fields
- Random Fields and Geometry
- Nonparametric Inference on Manifolds
- Markov Processes, Gaussian Processes, and Local Times
- Series Expansions of Fractional Brownian Motions and Strong Local Nondeterminism of Bifractional Brownian Motions on Balls and Spheres
This page was built for publication: Strong local nondeterminism and exact modulus of continuity for isotropic Gaussian random fields on compact two-point homogeneous spaces