Continuity Properties of Gaussian Stochastic Processes Indexed by a Local Field

DOI10.1112/plms/s3-56.2.380zbMath0608.60035OpenAlexW2053221135MaRDI QIDQ3747418

Steven N. Evans

Publication date: 1988

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-56.2.380

zbMATH Keywords

local fieldmoduli of continuityzero-one lawStrassen's functional law of the iterated logarithmoscillation function of a general Gaussian processsample path properties of stationary processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17)

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Asymptotics and spectral results for random walks on \(p\)-adics ⋮ Infinitely divisible distributions over locally compact non-Archimedean fields ⋮ Stochastic processes and their spectral representations over non-Archimedean fields ⋮ Cluster formation in a stepping-stone model with continuous, hierarchically structured sites ⋮ Unnamed Item ⋮ Local field Brownian motion

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