Markov random fields and their applications. (English) Zbl 1229.60003

Contemporary Mathematics 1. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-5001-6). ix, 142 p. (1980).
From the preface: Markov random fields is a new branch of probability theory that promises to be important both in the theory and application of probability. The existing literature on the subject is quite technical and often only understandable to the expert. This paper is an attempt to present the basic ideas of the subject and its application to a wider audience.


60-02 Research exposition (monographs, survey articles) pertaining to probability theory
60K35 Interacting random processes; statistical mechanics type models; percolation theory
60G60 Random fields
82B31 Stochastic methods applied to problems in equilibrium statistical mechanics
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
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