A Note on Expanding Planar Real Cellular Automata (original) (raw)

Acta Mathematica Sinica, English Series, 2018

Neptalí RomeroNeptalí Romero

Abstract

In this paper, we deal with one-parameter families of real cellular automata in ℝ2. We prove that for a wide class of block functions from ℝ2 to ℝ, the corresponding real cellular automaton is expanding when the value of the parameter is large enough.

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