Random spherical hyperbolic diffusion

DOI10.1007/s10955-019-02395-0zbMath1427.35377arXiv1904.12243OpenAlexW2940490647MaRDI QIDQ2283148

Alexander D. Kolesnik, Nikolai N. Leonenko, Andrew Ya. Olenko, Philip Broadbridge

Publication date: 30 December 2019

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12243

zbMATH Keywords

stochastic partial differential equationsHölder continuityapproximation errorshyperbolic diffusion equationcosmic microwave backgroundspherical random field

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Stopping times; optimal stopping problems; gambling theory (60G40) PDEs with randomness, stochastic partial differential equations (35R60) Spherical harmonics (33C55) PDEs on manifolds (35R01)

Related Items (12)

ON MULTIFRACTIONALITY OF SPHERICAL RANDOM FIELDS WITH COSMOLOGICAL APPLICATIONS ⋮ On spectral theory of random fields in the ball ⋮ Numerical approximation and simulation of the stochastic wave equation on the sphere ⋮ Gaussian random fields: with and without covariances ⋮ Models of space-time random fields on the sphere ⋮ EXACT SOLUTIONS OF HYPERBOLIC REACTION-DIFFUSION EQUATIONS IN TWO DIMENSIONS ⋮ On fractional spherically restricted hyperbolic diffusion random field ⋮ Stochastic diffusion within expanding space-time ⋮ Kac-Ornstein-Uhlenbeck processes: stationary distributions and exponential functionals ⋮ Fractional stochastic partial differential equation for random tangent fields on the sphere ⋮ Spectral analysis of fractional hyperbolic diffusion equations with random data ⋮ ON STATISTICAL PROPERTIES OF NONLINEAR FUNCTIONALS OF RANDOM FIELDS

Uses Software

• Healpix
• rcosmo

Cites Work

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