English

Deterministic chaos for Markov chains

Dynamical Systems 2020-10-29 v1

Abstract

We find that Markov chains with finite state space are Poincare chaotic. Moreover, finite realizations of the chains are arcs of each unpredictable orbit for sure. An illustrating example with a proper numerical simulation is provided.

Keywords

Cite

@article{arxiv.2010.14625,
  title  = {Deterministic chaos for Markov chains},
  author = {Marat Akhmet},
  journal= {arXiv preprint arXiv:2010.14625},
  year   = {2020}
}