Antonets, M. A.; Shereshevskij, I. A. On a model of the growth of trees. (Russian. Russian original) Zbl 0749.60093 Teor. Veroyatn. Primen. 36, No. 3, 548-553 (1991). A discrete time Markov process is defined on the partially ordered set of some special “connected” subtrees of a countable tree \(T\). Equilibrium states are described. The only limit state is described if \(T\) is finite, and the limit states are described in a particular “homogeneous” case. Reviewer: P.Holicky (Praha) Cited in 1 Review MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory Keywords:invariant state; discrete time Markov process; countable tree; Equilibrium states; limit state PDF BibTeX XML Cite \textit{M. A. Antonets} and \textit{I. A. Shereshevskij}, Teor. Veroyatn. Primen. 36, No. 3, 548--553 (1991; Zbl 0749.60093)