Fractional spherical random fields

2014/11/24 by Mirko D’Ovidio, Mirko D'Ovidio, D'Ovidio, Mirko +4
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Geometry and complex manifolds #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #math.PR

paper · pdf · doi:10.48550/arxiv.1411.6404

arxiv created 2014/11/24 · openalex publication_date 2014/11/24 · arxiv updated 2014/11/25 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper we study the solutions of different forms of fractional equations on the unit sphere \mathbbS₁² ⊂ ℝ³ 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.

Citations

• Sur les fonctions absolument monotones

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