Hölder Conditions of Local Times and Exact Moduli of non-differentiability for Spherical Gaussian fields

07/08/2018

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by   Xiaohong Lan, et al.

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This paper investigate the local times and modulus of nondifferentiability of the spherical Gaussian random fields. We extend the methods for studying the local times of Gaussian to the spherical setting. The new main ingredient is the property of strong local nondeterminism established recently in Lan et al (2018).