Nonexistence of fractional Brownian fields indexed by cylinders

DOI10.1214/18-EJP256zbMath1466.60081arXiv1612.05983MaRDI QIDQ2316600

Nil Venet

Publication date: 6 August 2019

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05983

zbMATH Keywords

fractional Brownian motionRiemannian manifoldrandom fieldpositive definite kernelvalid covariance

Mathematics Subject Classification ID

Random fields (60G60) Fractional processes, including fractional Brownian motion (60G22)

Related Items (3)

Notes on spherical bifractional Brownian motion ⋮ Vector random fields on the probability simplex with metric-dependent covariance matrix functions ⋮ Nonexistence of fractional Brownian fields indexed by cylinders

Cites Work

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• Le mouvement Brownien fonction d'un point de la sphère de Riemann
• Nonexistence of fractional Brownian fields indexed by cylinders
• Spherical and hyperbolic fractional Brownian motion
• Karhunen-Loève expansion of spherical fractional Brownian motions
• Distances hilbertiennes invariantes sur un espace homogene
• Lectures on Gaussian Processes
• Representation of Euclidean Random Field
• Stationary Gaussian random fields on hyperbolic spaces and on Euclidean spheres
• Manifold indexed fractional fields
• Fractional Brownian Motions, Fractional Noises and Applications
• P. Lévy’s Random Fields
• Riemannian geometry

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