5 citations · 9 across the 6 of their papers we have counts for
6 papers
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…
-dimensional cellular automata provide Salem's singular function with and
Akane Kawaharada
Salem's singular function is strictly increasing, continuous, and has a derivative equal to zero almost everywhere in ; it is also known as de Rham's singular function or Le…
Cellular automata that generate symmetrical patterns give singular functions
Akane Kawaharada
In this paper, we mainly study linear one-dimensional and two-dimensional elementary cellular automata that generate symmetrical spatio-temporal patterns. For spatio-temporal patte…
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…