Zero-one laws for Gaussian processes

DOI10.1090/S0002-9947-1970-0266293-4zbMath0234.60032WikidataQ114848815 ScholiaQ114848815MaRDI QIDQ5643341

Gopinath Kallianpur

Publication date: 1970

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Gaussian processes (60G15) Zero-one laws (60F20)

Related Items (27)

Abstract Wiener processes and their reproducing Kernel Hilbert spaces ⋮ Gaussian measures on linear spaces ⋮ Beyond Haar and Cameron-Martin: the Steinhaus support ⋮ Optimal regularity of SPDEs with additive noise ⋮ On the capacity of the continuous time Gaussian channel with feedback ⋮ Oscillation Function of a Multiparameter Gaussian Process ⋮ The reproducing kernel Hilbert space structure of the sample paths of a Gaussian process ⋮ Small sample spaces for Gaussian processes ⋮ An ergodic measure on a locally convex topological vector space ⋮ Equivalence-Singularity Dichotomies from Zero-One Laws ⋮ Sample path properties of stochastic processes represented as multiple stable integrals ⋮ Stochastic processes with sample paths in reproducing kernel Hilbert spaces ⋮ Equivalence-Singularity Dichotomies from Zero-One Laws ⋮ Unnamed Item ⋮ On the arg max of a Gaussian process ⋮ Subgroups of Sequences and Paths ⋮ Convex measures on locally convex spaces ⋮ On some continuity and differentiability properties of paths of Gaussian processes ⋮ Random linear functionals and subspaces of probability one ⋮ Zero one laws for probability measures on locally convex spaces ⋮ Spherically invariant processes: Their nonlinear structure, discrimination, and estimation ⋮ A Zero-One Law for Gaussian Processes ⋮ Zero-One Laws for Stable Measures ⋮ Zero-One Laws for Gaussian Measures on Banach Space ⋮ Zero-One Laws for Non-Gaussian Measures ⋮ Characterizations of infinite dimensional Gaussian shift experiments ⋮ Gaussian measures on L\(_p\) spaces, \(1\leq p \leq \infty\)

Cites Work

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• Spectral Type of the Shift Transformation of Differential Processes With Stationary Increments
• A Note on Uniform Convergence of Stochastic Processes
• Radon-Nikodym Derivatives of Gaussian Measures
• Equivalent Gaussian Measures with a Particularly Simple Radon-Nikodym Derivative
• Theory of Reproducing Kernels
• Additive Functionals on a Space of Continuous Functions. I

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