Invariant random fields in vector bundles and application to cosmology

DOI10.1214/10-AIHP409zbMath1268.60072arXiv0907.4620OpenAlexW3105702016MaRDI QIDQ1944670

Anatoliy Malyarenko

Publication date: 26 March 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4620

zbMATH Keywords

vector bundlecosmic microwave background radiationinvariant random field

Mathematics Subject Classification ID

Random fields (60G60)

Related Items (17)

On spectral theory of random fields in the ball ⋮ Isotropic random spin weighted functions on 𝑆² vs isotropic random fields on 𝑆³ ⋮ Representation of Gaussian isotropic spin random fields ⋮ Tensor- and spinor-valued random fields with applications to continuum physics and cosmology ⋮ Needlet-Whittle estimates on the unit sphere ⋮ Spin needlets spectral estimation ⋮ Adaptive nonparametric regression on spin fiber bundles ⋮ Gaussian semiparametric estimates on the unit sphere ⋮ On nonlinear functionals of random spherical eigenfunctions ⋮ On the limiting behaviour of needlets polyspectra ⋮ Lasso estimation for spherical autoregressive processes ⋮ Time-varying isotropic vector random fields on compact two-point homogeneous spaces ⋮ Fractal planetary rings: Energy inequalities and random field model ⋮ On Spectral Representations of Tensor Random Fields on the Sphere ⋮ Spectral expansions of random sections of homogeneous vector bundles ⋮ Fourier coefficients of invariant random fields on homogeneous spaces of compact Lie groups ⋮ Asymptotic behaviour of level sets of needlet random fields

Cites Work

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• Spin wavelets on the sphere
• Group representations and high-resolution central limit theorems for subordinated spherical random fields
• Representations of SO(3) and angular polyspectra
• The Helgason Fourier transform for homogeneous vector bundles over compact Riemannian symmetric spaces -- the local theory
• Spin needlets spectral estimation
• On the characterization of isotropic Gaussian fields on homogeneous spaces of compact groups
• High-frequency asymptotics for subordinated stationary fields on an abelian compact group
• On Spectral Representations of Tensor Random Fields on the Sphere
• Cosmic Microwave Background Polarization Analysis

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