| Abstract: | Evolutionary series of the type rill—furrow—gully—ravine are analyzed in terms of the theory of finite automata, in which the input and state at time t determine the output and state at time t + 1. External factors of evolution are treated as the inputs of the automaton. If the probabilities of one state's turning into another state are considered, the model becomes a simple Markov chain or, in the language of the theory of automata, a probabilistic finite automaton. It is shown on the basis of a matrix of transition probabilities that after a certain length of time the system reaches a state of equilibrium, or ergodic state. |
