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On a model of the growth of trees. (Russian. Russian original) Zbl 0749.60093
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)

##### MSC:
 60K35 Interacting random processes; statistical mechanics type models; percolation theory