Olenko, A. Ya. Covariant Markov random fields on a lattice. (English. Ukrainian original) Zbl 0840.60046 Theory Probab. Math. Stat. 48, 111-115 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 155-160 (1993). Summary: Necessary and sufficient conditions are given under which a homogeneous random field on \(\mathbb{Z}^m\) is covariant and Markovian. MSC: 60G60 Random fields 60J25 Continuous-time Markov processes on general state spaces Keywords:random field; Markov property PDFBibTeX XMLCite \textit{A. Ya. Olenko}, Theory Probab. Math. Stat. 48, 1 (1993; Zbl 0840.60046); translation from Teor. Jmovirn. Mat. Stat. 48, 155--160 (1993)