5 citations · 9 across the 6 of their papers we have counts for
4 papers · 1 filter
Sufficiency of Unit Coefficients for Binary Orbits in Uniformly Weighted Linear Cellular Automata
Akane Kawaharada
This paper investigates the classification of spatio-temporal patterns generated by linear cellular automata with uniform weights (LCA-UW) over the ring ${\mathbb Z} / n {\mathbb Z…
Why it is sufficient to consider only the case where the seed of linear cellular automata is
Akane Kawaharada
When using a cellular automaton (CA) as a fractal generator, consider orbits from the single site seed, an initial configuration that gives only a single cell a positive value. In…
Discontinuous Riemann integrable functions emerging from cellular automata
Akane Kawaharada
This paper presents discontinuous Riemann integrable functions on the unit interval derived from the dynamics of two-dimensional elementary cellular automata. Based on the…
Singular function emerging from one-dimensional elementary cellular automaton Rule 150
Akane Kawaharada
In this paper, we give a singular function on a unit interval derived from the dynamic of the one-dimensional elementary cellular automaton Rule 150. We describe properties of the…