The D.L.R. conditions for translation invariant Gaussian measures on L(R d)

DOI10.1007/BF00531439zbMath0442.60052MaRDI QIDQ3884903

Daniel W. Stroock, Richard A. Holley

Publication date: 1980

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

invariant measuresOrnstein-Uhlenbeck processGaussian measuresMarkov fields

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Cites Work

• Existence and uniqueness of countable one-dimensional Markov random fields
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• The \(P(\phi)_2\) Euclidean quantum field theory as classical statistical mechanics. II.
• Construction of quantum fields from Markoff fields
• DLR measures for one-dimensional harmonic systems
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