abstract:A Markov partition is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic systems. By using a Markov partition, the system can be made to resemble a discrete-time Markov process, with the long-term dynamical characteristics of the system represented as a Markov shift.
In the thirdpart we introduce thebasalsupposeof the Markov chains forecasting, including the statespartition and the confirmation of the transferringmatrix.