Editing Markov chain (section)

====Locally interacting Markov chains====
"Locally interacting Markov chains" are Markov chains with an evolution that takes into account the state of other Markov chains. This corresponds to the situation when the state space has a (Cartesian-) product form.
See [[interacting particle system]] and [[stochastic cellular automata]] (probabilistic cellular automata).
See for instance ''Interaction of Markov Processes''<ref>{{cite journal|last=Spitzer|first=Frank|year=1970|title=Interaction of Markov Processes|journal=[[Advances in Mathematics]]|volume=5|issue=2|pages=246–290|doi=10.1016/0001-8708(70)90034-4|doi-access=free}}</ref>
or.<ref>{{cite book |url=https://books.google.com/books?id=0Wa7AAAAIAAJ&q=locally+interacting+markov+chains+toom+Dobrushin&pg=PA181 |title=Stochastic Cellular Systems: Ergodicity, Memory, Morphogenesis|last1=Dobrushin| first1=R. L.| authorlink1=Roland Dobrushin|last2=Kryukov| first2=V.I.|last3=Toom|first3=A. L.|year=1978|publisher=Manchester University Press|isbn=9780719022067|access-date=2016-03-04}}</ref>