In this paper we study the solutions of different forms of fractional equations on the unit sphere S21 ⊂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.

Fractional spherical random fields / D'Ovidio, Mirko; Leonenko, Nikolai; Orsingher, Enzo. - In: STATISTICS & PROBABILITY LETTERS. - ISSN 0167-7152. - 116:(2016), pp. 146-156. [10.1016/j.spl.2016.04.011]

Fractional spherical random fields

D'OVIDIO, MIRKO
Membro del Collaboration Group
;
ORSINGHER, Enzo
Membro del Collaboration Group
2016

Abstract

In this paper we study the solutions of different forms of fractional equations on the unit sphere S21 ⊂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.
2016
Fractional equations; Laplace–Beltrami operators; Random fields; Spherical Brownian motion; Spherical harmonics; Subordinators; Statistics and Probability; Statistics, Probability and Uncertainty
01 Pubblicazione su rivista::01a Articolo in rivista
Fractional spherical random fields / D'Ovidio, Mirko; Leonenko, Nikolai; Orsingher, Enzo. - In: STATISTICS & PROBABILITY LETTERS. - ISSN 0167-7152. - 116:(2016), pp. 146-156. [10.1016/j.spl.2016.04.011]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/980760
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