Fractional spherical random fields

Mirko D'Ovidio; Nikolai Leonenko; Enzo Orsingher

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arXiv · 1411.6404

Fractional spherical random fields

Mirko D'Ovidio·Nikolai Leonenko·Enzo Orsingher

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Abstract

In this paper we study the solutions of different forms of fractional equations on the unit sphere $\mathbb{S}_{1}^{2}$ $\subset \mathbb{R}^{3}$ possessing the structure of time-dependent random fields. We study the correlation functions of the random fields emerging in the analysis of the solutions of the fractional equations and examine their long-range behaviour.

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Mirko D'Ovidio, Nikolai Leonenko, Enzo Orsingher. 2014-11-24. Fractional spherical random fields. https://arxiv.org/abs/1411.6404

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