Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Markov chain
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Subshift of finite type=== {{Main|Subshift of finite type}} When the Markov matrix is replaced by the [[adjacency matrix]] of a [[finite graph]], the resulting shift is termed a '''topological Markov chain''' or a '''subshift of finite type'''.<ref name="nicol"/> A Markov matrix that is compatible with the adjacency matrix can then provide a [[Measure (mathematics)|measure]] on the subshift. Many chaotic [[dynamical system]]s are isomorphic to topological Markov chains; examples include [[diffeomorphism]]s of [[closed manifold]]s, the [[Thue–Morse sequence|Prouhet–Thue–Morse system]], the [[Chacon system]], [[sofic system]]s, [[context-free system]]s and [[block-coding system]]s.<ref name="nicol"/>
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)