Akane Kawaharada

most cited

D

-dimensional cellular automata provide Salem's singular function

L_{α}

with

α = 1/ (2 D + 1)

and

1/ (2^{D} + 1)

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2023

Why it is sufficient to consider only the case where the seed of linear cellular automata is $1$

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…

math-ph2022★ 1 cited

$D$ -dimensional cellular automata provide Salem's singular function $L_{α}$ with $α = 1/ (2 D + 1)$ and $1/ (2^{D} + 1)$

Akane Kawaharada

Salem's singular function is strictly increasing, continuous, and has a derivative equal to zero almost everywhere in $[0, 1]$ ; it is also known as de Rham's singular function or Le…

Why it is sufficient to consider only the case where the seed of linear cellular automata is 1

D-dimensional cellular automata provide Salem's singular function Lα​ with α=1/(2D+1) and 1/(2D+1)

Why it is sufficient to consider only the case where the seed of linear cellular automata is $1$

$D$ -dimensional cellular automata provide Salem's singular function $L_{α}$ with $α = 1/ (2 D + 1)$ and $1/ (2^{D} + 1)$