Module Shifts and Measure Rigidity in Linear Cellular Automata

Simple item page
dc.creatorPivato, Marcus
dc.date2007-07-10
dc.date.accessioned2026-07-07T08:14:50Z
dc.date.available2026-07-07T08:14:50Z
dc.descriptionSuppose R is a finite commutative ring of prime characteristic, A is a finite R-module, M:=Z^D x N^E, and F is an R-linear cellular automaton on A^M. If mu is an F-invariant measure which is multiply shift-mixing in a certain way, then we show that mu must be the Haar measure on a coset of some submodule shift of A^M. Under certain conditions, this means mu must be the uniform Bernoulli measure on A^M.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0707.1408
dc.identifierhttp://arxiv.org/abs/0707.1408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133272
dc.subjectDynamical Systems
dc.subject37B15 (primary); 68Q80 (secondary)
dc.titleModule Shifts and Measure Rigidity in Linear Cellular Automata
dc.typetext

Files

Collections

arXiv