Maximal branching processes with few types of particles / A. V. Lebedev. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. ? 3. P. 8-13 [Moscow Univ. Math. Bulletin. Vol. 67, N 3, 2012.].

The paper introduces multitype maximal branching processes and their generalizations. Some examples of their explicit construction are given. The ergodic theorem is proved for the case of two types of particles.

Key words: maximal branching process, types of particles, Markov chain, ergodic theorem.