scientific article

zbMath0502.60037MaRDI QIDQ3968242

Robert Adol'fovich Minlos, Roland Lvovich Dobrushin

Publication date: 1976

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

random fieldMarkov propertyGaussian measureelliptic differential equations

Mathematics Subject Classification ID

Random fields (60G60) Generalized stochastic processes (60G20) Markov processes (60J99)

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The Gibbs measures and partial differential equations. I. Ideas and local aspects ⋮ Vacuum energy density in \({\mathcal P}(\phi)_ 2\) theories. Independence of (non-classical) boundary conditions (modified version) ⋮ Traces of harmonic functions and a new path space for the free quantum field ⋮ On the DLR equation for the \((\lambda:\phi^ 4: +b:\phi^ 2:+\mu\phi\), \(\mu\neq 0)_ 2\) Euclidean quantum field theory: The uniqueness theorem ⋮ Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions ⋮ Gaussian measures on linear spaces ⋮ Uniqueness of Gibbs states for general \(P(\phi)_ 2\)-weak coupling models by cluster expansion ⋮ On the Markoff property for the free Euclidean electromagnetic field ⋮ On the innovation problem for Gaussian Markov random fields ⋮ Specifications and Martin boundaries for \(\mathcal P(\phi)_2\)-random fields ⋮ Uniqueness and the global Markov property for Euclidean fields: The case of general exponential interaction

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