On the existence of local times: A geometric study

DOI10.1007/BF01210325zbMath0728.60036OpenAlexW2036629110MaRDI QIDQ805056

Joseph Horowitz, Loren D. Pitt, J. Milne Anderson

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf01210325

zbMATH Keywords

existence of local timesJarnik functionsnondifferentiable stationary Gaussian process

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10) Local time and additive functionals (60J55)

Related Items (2)

The spectral theory of multiplication operators and the recurrence properties for nondifferentiable functions in the Zygmund class ⋮ A borderline Gaussian random Fourier series for the sample convergence in variation

Cites Work

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• An example of stability of singular spectrum under smooth perturbations
• Occupation densities
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• Families of plane curves having translates in a set of measure zero
• Probabilistic Behaviour of Functions in the Zygmund Spaces ∧ ^* and λ ^*
• Sur la mesure d’Occupation d’une classe de fonctions self-affines
• Functions continuous and singular with respect to a Hausdorff measure
• On multipliers preserving convergence of trigonometric series almost everywhere
• On Hausdorff dimension of projections
• Local Times and Sample Function Properties of Stationary Gaussian Processes

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