Large-scale stochastic systems of finite automata and neural nets. I

The paper presents an approach to the theory of large-scale stochastic systems of finite automata from the point of view of the theory of stochastic processes. The article consists of two parts. In part I the main definitions and theorems on convergence of stochastic processes which correspond to large-scale systems and a «macroscopie» description of these systems are given. Systems with random interaction are described.