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math.PR2026
Exploring the Structure of Anisotropic Random Fields on the Sphere
Claudio Durastanti, Shahid Khan, Andriy Olenko
This paper addresses fundamental questions about the existence and structure of isotropic and anisotropic spherical random fields and the properties of composite transformations of…
math.PR2026
Multiscale Asymptotic Analysis of Kernel-Smoothed Solutions to Fractional Riesz-Bessel Equations with Random Initial Conditions
Shahid Khan, Andriy Olenko
This paper investigates fractional Riesz-Bessel equations with random initial conditions that exhibit either classical or cyclic long-range dependence. It studies zoom-in asymptoti…