Strong Local Nondeterminism and Exact Modulus of Continuity for Isotropic Gaussian Random Fields on Compact Two-Point Homogeneous Spaces

Autor: Lu, Tianshi, Ma, Chunsheng, Xiao, Yimin
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: This paper is concerned with sample path properties of isotropic Gaussian fields on compact two-point homogeneous spaces. In particular, we establish the property of strong local nondeterminism of an isotropic Gaussian field based on the high-frequency behavior of its angular power spectrum, and then exploit this result to establish an exact uniform modulus of continuity for its sample paths.
Databáze: arXiv