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On the Garden of Eden theorem for B-free subshifts

Authors :
Keller, Gerhard
Lemanczyk, Mariusz
Richard, Christoph
Sell, Daniel
Publication Year :
2021

Abstract

We prove that on B-free subshifts, with B satisfying the Erd\"os condition, all cellular automata are determined by monotone sliding block codes. In particular, this implies the validity of the Garden of Eden theorem for such systems.<br />Comment: 23 pages

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2106.14673
Document Type :
Working Paper