A. Fukuda

collaborators

2 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…

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 $R_{m a x} := R \cup {- \infty}$ with two operations $\oplus := max$ and $\otimes := +$ .In this paper, we intr…