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Continuity of information transport in surjective cellular automata

T. Helvik ; Kristian Lindgren (Institutionen för energi och miljö) ; M. G. Nordahl
Communications in Mathematical Physics (0010-3616). Vol. 272 (2007), 1, p. 53-74.
[Artikel, refereegranskad vetenskaplig]

We introduce a local version of the Shannon entropy in order to describe information transport in spatially extended dynamical systems, and to explore to what extent information can be viewed as a local quantity. Using an appropriately defined information current, this quantity is shown to obey a local conservation law in the case of one-dimensional reversible cellular automata with arbitrary initial measures. The result is also shown to apply to one-dimensional surjective cellular automata in the case of shift-invariant measures. Bounds on the information flow are also shown.

Nyckelord: STATISTICAL-MECHANICS, LIMIT MEASURES, MODEL, EQUATION, ENTROPY, SYSTEMS



Denna post skapades 2008-11-12. Senast ändrad 2008-11-12.
CPL Pubid: 77730

 

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