The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its Regularity

Abstract

Next article The Description of a Random Field by Means of Conditional Probabilities and Conditions of Its RegularityP. L. DobruschinP. L. Dobruschinhttps://doi.org/10.1137/1113026PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] I. A. Ibragimov and , Yu. V. Linnik, Independent and Stationarily Connected Variables, Izd-vo "Nauka", Moscow, 1965, (In Russian.) Google Scholar[2] B. Rjauba, The central limit theorem for sums of series of weakly dependent random variables, Litovsk. Mat. Sb., 2 (1962), 193–205, (In Russian.) MR0169274 (29:6526) 0129.31201 Google Scholar[3] Yu. A. Rozanov, On Gaussian random fields with given conditional distributions, Theory Prob. Applications, 12 (1967), 381–391 10.1137/1112050 0212.20101 LinkGoogle Scholar Next article FiguresRelatedReferencesCited ByDetails A Functional Central Limit Theorem for Polaron Path MeasuresCommunications on Pure and Applied Mathematics, Vol. 9 | 12 August 2022 Cross Ref Description of random fields by systems of conditional distributionsArmenian Journal of Mathematics | 3 June 2022 Cross Ref Central limit theorem for Gibbs measures on path spaces including long range and singular interactions and homogenization of the stochastic heat equationThe Annals of Applied Probability, Vol. 32, No. 3 | 1 Jun 2022 Cross Ref An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactionsJournal of Applied Probability, Vol. 59, No. 2 | 30 March 2022 Cross Ref Decimations for two-dimensional Ising and rotator modelsJournal of Mathematical Physics, Vol. 63, No. 3 | 1 Mar 2022 Cross Ref Stem and topological entropy on Cayley treesMathematical Physics, Analysis and Geometry, Vol. 25, No. 1 | 22 December 2021 Cross Ref Twelve tales in mathematical physics: An expanded Heineman prize lectureJournal of Mathematical Physics, Vol. 63, No. 2 | 1 Feb 2022 Cross Ref Finitary codings for the random-cluster model and other infinite-range monotone modelsElectronic Journal of Probability, Vol. 27, No. none | 1 Jan 2022 Cross Ref Lack of phase transitions in staggered magnetic systems. 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