A Note on Expanding Planar Real Cellular Automata

Citation
Guzmán, Jairo et Romero, Neptalí, A Note on Expanding Planar Real Cellular Automata, Acta mathematica Sinica. English series (Print) , 34(9), 2018, pp. 1371-1378
ISSN journal
14398516
Volume
34
Issue
9
Year of publication
2018
Pages
1371 - 1378
Database
ACNP
SICI code
Abstract
In this paper, we deal with one-parameter families of real cellular automata in .2. We prove that for a wide class of block functions from .2 to ., the corresponding real cellular automaton is expanding when the value of the parameter is large enough.