The sharp Markov property of the Brownian sheet and related processes

DOI10.1007/BF02392978zbMath0759.60056OpenAlexW2087627067MaRDI QIDQ1200350

Robert C. Dalang, John B. Walsh

Publication date: 16 January 1993

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392978

zbMATH Keywords

Brownian sheetsharp Markov propertyprocesses with independent planar increments

Mathematics Subject Classification ID

Random fields (60G60) Brownian motion (60J65)

Related Items (5)

An increment-type set-indexed Markov property ⋮ On Markov property of Lévy waves in two dimensions ⋮ On the sharp Markov property for Gaussian random fields and spectral synthesis in spaces of Bessel potentials ⋮ INFINITE DIMENSIONAL STATIONARY RANDOM FIELDS OVER A LOCALLY COMPACT ABELIAN GROUP ⋮ Recurrent lines in two-parameter isotropic stable Lévy sheets

Cites Work

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• Markov processes on the plane
• On the Structure of the Infinitesimal $\sigma $-Algebra of Gaussian Processes and Fields
• Brownian Motion with a Several-Dimensional Time
• Boundary behavior of a conformal mapping

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