On a class of Markov processes on graphs. (English. Ukrainian original) Zbl 0948.60074

Majdanyuk, R. Ya.; Skorokhod, A. V.

Theory Probab. Math. Stat. 52, 119-124 (1996); translation from Teor. Jmovirn. Mat. Stat. 52, 112-116 (1995).

The authors consider a class of Markov processes with phase space determined by a planar graph, and give three theorems on the absolute continuity of measures generated by the processes.

Reviewer: O.K.Zakusilo (Kyïv)

MSC:

60J80	Branching processes (Galton-Watson, birth-and-death, etc.)
60J20	Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.)
60J85	Applications of branching processes

Keywords:

Markov process; process on graph; phase space