On the ergodic principle for Markov and quadratic Stochastic Processes and its relations

Nasir Ganikhodjaev; Hasan Akin; Farrukh Mukhamedov

On the ergodic principle for Markov and quadratic Stochastic Processes and its relations

Probability 2007-05-23 v1 Dynamical Systems

Authors: Nasir Ganikhodjaev , Hasan Akin , Farrukh Mukhamedov

Abstract

In the paper we prove that a quadratic stochastic process satisfies the ergodic principle if and only if the associated Markov process satisfies one.

Keywords

quadratic stochastic process markov process ergodic principle

Cite

@article{arxiv.math/0511270,
  title  = {On the ergodic principle for Markov and quadratic Stochastic Processes and its relations},
  author = {Nasir Ganikhodjaev and Hasan Akin and Farrukh Mukhamedov},
  journal= {arXiv preprint arXiv:math/0511270},
  year   = {2007}
}