Asymptotic behavior of a class of stochastic semigroups in the Bernoulli scheme

• Date: 1993
• Main Authors: Chani, A. S., Чани, А. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5964
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The family of subalgebras that describe the space of complex-valued $2 \times 2$ matrices is selected. In this space, the stochastic semigroup $Y_n = X_n X_{n-1} ... X_1, \; n = \overline{1, \infty}$, is considered, where $\{X_ , і = \overline{1, \infty}\}$ are independent equally distributed rando...