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June 1999 CONVERGENCE TO THE LIMIT SET OF LINEAR CELLULAR AUTOMATA
Mie Matsuto, Fukiko Takeo
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SUT J. Math. 35(2): 167-201 (June 1999). DOI: 10.55937/sut/991985450

Abstract

We investigate the topology of convergence to limit sets for one-dimensional linear cellular automata using p-valued upper semi-continuous functions, where p is a prime integer.

Acknowledgment

The authors would like to express their deep gratitude to the referee for his valuable comments and useful advices, which helped them much to improve this paper.

Citation

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Mie Matsuto. Fukiko Takeo. "CONVERGENCE TO THE LIMIT SET OF LINEAR CELLULAR AUTOMATA." SUT J. Math. 35 (2) 167 - 201, June 1999. https://doi.org/10.55937/sut/991985450

Information

Received: 26 November 1998; Revised: 1 November 1999; Published: June 1999
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/991985450

Subjects:
Primary: 58F18 , 68Q80

Keywords: a limit set , cellular automata , the topology of convergence , ℤp-valued upper semi-continuous functions

Rights: Copyright © 1999 Tokyo University of Science

Vol.35 • No. 2 • June 1999
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