A. Zeki, N., F. Tawfiq, A., M. Mahmood, P. (2016). Flip systems for Markov chain shift. Alustath, 0(1), 317-328.
Najeeb A. Zeki; Amir F. Tawfiq; Payman M. Mahmood. "Flip systems for Markov chain shift". Alustath, 0, 1, 2016, 317-328.
A. Zeki, N., F. Tawfiq, A., M. Mahmood, P. (2016). 'Flip systems for Markov chain shift', Alustath, 0(1), pp. 317-328.
A. Zeki, N., F. Tawfiq, A., M. Mahmood, P. Flip systems for Markov chain shift. Alustath, 2016; 0(1): 317-328.

Flip systems for Markov chain shift

Journal of College of Education
Article 1, Volume 0, Issue 1, November 2017, Pages 317-328
Authors
Najeeb A. Zeki; Amir F. Tawfiq; Payman M. Mahmood
Abstract
In this paper, we studied flip system then we developed and adapted it to three kinds of dynamical systems in ergodic theory which are dynamical systems with probabilities, full stochastic process and Markov chain shift. We provided some definitions and theorems to connect these three kinds together, we also provided some examples to support our definitions and theorems as a final effort.
Keywords
Dynamical system; Stochastic process; Markov chain; Flip system; Transition matrix
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