Strong local nondeterminism and exact modulus of continuity for spherical Gaussian fields

来源 :2016随机微分方程和随机过程研讨会(Workshop on SDEs and Stochastic Processes | 被引量 : 0次 | 上传用户:shuiqianzeqing
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  We are concerned with sample path properties of isotropic sphericalGaussian fields on the unit sphere.In particular,we establish the property of strong localnondeterminism of an isotropic spherical Gaussian field based on the high-frequencybehaviour of its angular power spectrum; we then exploit this result to establishan exact uniform modulus of continuity for its sample paths.We also discuss therange of values of the spectral index for which the sample functions exhibit fractalor smooth behaviour.
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