2 citations · 2 across the 2 of their papers we have counts for
3 papers
math-ph2021
A variant of the discrete Burgers equation derived from the correlated random walk and its ultradiscretization
Akiko Fukuda, Etsuo Segawa, Sennosuke Watanabe
In this paper, we show that a variant of the discrete Burgers equation can be obtained through the Cole--Hopf transformation to a generalized discrete diffusion equation correspond…
nlin.CG2020★ 2 cited
-VFCA: -state Vector-valued Fuzzy Cellular Automata
Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda +1
Elementary fuzzy Cellular Automata (CA) are known as continuous counterpart of elementary CA, which are 2-state CA, via the polynomial representation of local rules. In this paper,…
math-ph2019
A walk on max-plus algebra
Sennosuke Watanabe, Akiko Fukuda, Etsuo Segawa +1
Max-plus algebra is a kind of idempotent semiring over with two operations and .In this paper, we intr…