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arXiv · 2404.06612

Small fluctuations for time-dependent spherical random fields

Marco Carfagnini·Anna Paola Todino
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Abstract

We consider time-dependent space isotropic and time stationary spherical Gaussian random fields. We establish Chung's law of the iterated logarithm and solve the small probabilities problem. Our results depend on the high-frequency behaviour of the angular power spectrum: the speed of decay of the small ball probability is faster as either the memory parameter or the space-parameter decreases.

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Marco Carfagnini, Anna Paola Todino. 2024-04-09. Small fluctuations for time-dependent spherical random fields. https://arxiv.org/abs/2404.06612

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