| Records |
| Author |
MacLean, S.; Montalva-Medel, M.; Goles, E. |
| Title |
Block invariance and reversibility of one dimensional linear cellular automata |
Type |
|
| Year |
2019 |
Publication  |
Advances In Applied Mathematics |
Abbreviated Journal |
Adv. Appl. Math. |
| Volume |
105 |
Issue |
|
Pages |
83-101 |
| Keywords |
Cellular automata; Linear cellular automata; Block invariance; Reversibility |
| Abstract |
Consider a one-dimensional, binary cellular automaton f (the CA rule), where its n nodes are updated according to a deterministic block update (blocks that group all the nodes and such that its order is given by the order of the blocks from left to right and nodes inside a block are updated synchronously). A CA rule is block invariant over a family F of block updates if its set of periodic points does not change, whatever the block update of F is considered. In this work, we study the block invariance of linear CA rules by means of the property of reversibility of the automaton because such a property implies that every configuration has a unique predecessor, so, it is periodic. Specifically, we extend the study of reversibility done for the Wolfram elementary CA rules 90 and 150 as well as, we analyze the reversibility of linear rules with neighbourhood radius 2 by using matrix algebra techniques. (C) 2019 Elsevier Inc. All rights reserved. |
| Address |
[MacLean, Stephanie; Montalva-Medel, Marco; Goles, Eric] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Diagonal Torres 2640, Penalolen, Chile, Email: stephanie.macleank@edu.uai.cl; |
| Corporate Author |
|
Thesis |
|
| Publisher |
Academic Press Inc Elsevier Science |
Place of Publication |
|
Editor |
|
| Language |
English |
Summary Language |
|
Original Title |
|
| Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
| Series Volume |
|
Series Issue |
|
Edition |
|
| ISSN |
0196-8858 |
ISBN |
|
Medium |
|
| Area |
|
Expedition |
|
Conference |
|
| Notes |
WOS:000459528000004 |
Approved |
|
| Call Number |
UAI @ eduardo.moreno @ |
Serial |
983 |
| Permanent link to this record |
| |
|
| |
| Author |
Goles, E.; Montalva-Medel, M.; MacLean, S.; Mortveit, H. |
| Title |
Block Invariance in a Family of Elementary Cellular Automata |
Type |
|
| Year |
2018 |
Publication |
Journal Of Cellular Automata |
Abbreviated Journal |
J. Cell. Autom. |
| Volume |
13 |
Issue |
1-2 |
Pages |
15-32 |
| Keywords |
Elementary cellular automata; block updates; periodic configurations; block invariance |
| Abstract |
We study the steady state invariance of elementary cellular automata (ECA) under different deterministic updating schemes. Specifically, we study a family of eleven ECA whose steady state invariance were left under conjecture in [2]. |
| Address |
[Goles, Eric; Montalva-Medel, Marco; MacLean, Stephanie] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: eric.chacc@uai.cl; |
| Corporate Author |
|
Thesis |
|
| Publisher |
Old City Publishing Inc |
Place of Publication |
|
Editor |
|
| Language |
English |
Summary Language |
|
Original Title |
|
| Series Editor |
|
Series Title |
|
Abbreviated Series Title |
|
| Series Volume |
|
Series Issue |
|
Edition |
|
| ISSN |
1557-5969 |
ISBN |
|
Medium |
|
| Area |
|
Expedition |
|
Conference |
|
| Notes |
WOS:000410888100002 |
Approved |
|
| Call Number |
UAI @ eduardo.moreno @ |
Serial |
782 |
| Permanent link to this record |
