Stationary processes indexed by a homogeneous tree

DOI10.1214/aop/1176988856zbMath0793.60039OpenAlexW2006035134MaRDI QIDQ1323291

Jean-Pierre Arnaud

Publication date: 11 August 1994

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988856

zbMATH Keywords

time seriessymmetric spacesGelfand pairshomogeneous treesCartier- Dunau polynomialscomplex-valued process

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10) Probability theory on algebraic and topological structures (60B99)

Related Items (5)

Prediction of weakly stationary sequences on polynomial hypergroups ⋮ Comment: Lancaster probabilities and Gibbs sampling ⋮ Spectral measures of factor of i.i.d. processes on vertex-transitive graphs ⋮ Hyper-positive definite functions I: scalar case, branching-type stationary stochastic processes ⋮ Stationary processes on the dyadic tree: prediction and covariance extension

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