Dobrushin, R. L.; Minlos, R. A. Construction of a one-dimensional quantum field by means of a continuous Markov field. (English. Russian original) Zbl 0294.60081 Funct. Anal. Appl. 7, 324-325 (1974); translation from Funkts. Anal. Prilozh. 7, No. 4, 81-82 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 46F99 Distributions, generalized functions, distribution spaces PDFBibTeX XMLCite \textit{R. L. Dobrushin} and \textit{R. A. Minlos}, Funct. Anal. Appl. 7, 324--325 (1974; Zbl 0294.60081); translation from Funkts. Anal. Prilozh. 7, No. 4, 81--82 (1973) Full Text: DOI References: [1] J. Glimm and A. Jaffe, in: Mathematics of Contemporary Physics, Academic Press (1973). [2] E. Nelson, ”Construction of quantum fields from Markov fields,” Preprint (1973). · Zbl 0252.60053 [3] R. F. Streater and A. S. Wightman, P.C.T., Spin, Statistics and All That, Benjamin, New York (1964). · Zbl 0135.44305 [4] O. Lanford and D. Ruelle, Commun. Math. Phys.,13, 194-215 (1968). · doi:10.1007/BF01645487 [5] R. L. Dobrushin, Funktsional’. Analiz i Ego Prilozheniya,2, No. 4, 31-43 (1968). [6] R. L. Dobrushin, Teor. i Matem. Fiz.,4, No. 1, 101-118 (1970). [7] I. M. Gikhman and A. V. Skorokhod, Theory of Random Processes [in Russian], Vol. I, Nauka, Moscow (1971). · Zbl 0132.37902 [8] K. Ito, Japan J. Math.,22, 63-86 (1952). [9] K. Osterwalder and R. Schrader, ”Axioms for Euclidean Green’s functions,” Preprint (1973). · Zbl 0274.46047 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.