Local field Brownian motion

DOI10.1007/BF01049177zbMath0803.60078OpenAlexW2064029127MaRDI QIDQ1322506

Steven N. Evans

Publication date: 9 June 1994

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

Full work available at URL: https://doi.org/10.1007/bf01049177

zbMATH Keywords

polar setadditive functionalslocal timeorthogonalityfractalsGaussian measuresRiesz potentialdependence propertieshomogeneous random measureslocal field vector spaces

Mathematics Subject Classification ID

Gaussian processes (60G15) Brownian motion (60J65) Probabilistic potential theory (60J45) Local time and additive functionals (60J55)

Related Items (9)

Asymptotics and spectral results for random walks on \(p\)-adics ⋮ Infinite 𝑝-adic random matrices and ergodic decomposition of 𝑝-adic Hua measures ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Infinitely divisible distributions over locally compact non-Archimedean fields ⋮ Stochastic processes and their spectral representations over non-Archimedean fields ⋮ Random processes on non-Archimedean spaces ⋮ The non-Archimedean stochastic heat equation driven by Gaussian noise ⋮ Parabolic equations and Markov processes over \(p\)-adic fields ⋮ On \(p\)-adic mathematical physics

Cites Work

• Capacity and energy for multiparameter Markov processes
• On Sazonov type topology in p-adic Banach space
• Additive functionals of several time-reversible Markov processes
• Occupation densities
• Self-avoiding walk on a hierarchical lattice in four dimensions
• Polar and nonpolar sets for a tree indexed process
• Random walks, capacity and percolation on trees
• p-adic quantum mechanics
• Local properties of Lévy processes on a totally disconnected group
• Critical random walk in random environment on trees
• A property of Brownian motion paths
• Continuity Properties of Gaussian Stochastic Processes Indexed by a Local Field
• Sample Path Properties of Gaussian Stochastic Processes Indexed by a Local Field
• Homogeneous Random Measures and a Weak Order for the Excessive Measures of a Markov Process
• Generalized functions over the field ofp-adic numbers
• Visualizing the p-adic Integers
• Fourier Analysis on Local Fields. (MN-15)
• On two definitions of the integral of a p-adic function
• An Intrinsic Description of Local Time
• The exact hausdorff measure of the zero set of a stable process
• Lectures on P-Adic L-Functions. (AM-74)
• On Brownian motions in $n$-space
• Two-dimensional Brownian motion and harmonic functions
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