Vi. Klimenok, ROUCHE THEOREM IN THE PROBLEM OF FINDING THE STATIONARY DISTRIBUTION OF A 2-DIMENSIONAL QUASI-TOEPLITZ MARKOV-CHAIN, Automatic control and computer sciences, 32(1), 1998, pp. 18-23
The problem of determining the number of zeros of a function in a unit
circle of the complex plane that arises when attempting to find the s
tationary distribution of a two-dimensional quasi-Toeplitz Markov chai
n is solved.