Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields
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Publication:1743343
DOI10.1016/j.spa.2017.07.008zbMath1390.60185arXiv1603.03642OpenAlexW2964102531MaRDI QIDQ1743343
Xiaohong Lan, Domenico Marinucci, Yimin Xiao
Publication date: 13 April 2018
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.03642
Random fields (60G60) Gaussian processes (60G15) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sample path properties (60G17)
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Regularity properties of the solution to a stochastic heat equation driven by a fractional Gaussian noise on \(\mathbb{S}^2\) ⋮ Gaussian random fields on the sphere and sphere cross line ⋮ Numerical approximation and simulation of the stochastic wave equation on the sphere ⋮ Existence and smoothness of local time and self-intersection local time for spherical Gaussian random fields ⋮ Strong local nondeterminism and exact modulus of continuity for isotropic Gaussian random fields on compact two-point homogeneous spaces ⋮ Series Expansions of Fractional Brownian Motions and Strong Local Nondeterminism of Bifractional Brownian Motions on Balls and Spheres ⋮ A quantitative central limit theorem for the excursion area of random spherical harmonics over subdomains of S2
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