Výsledky vyhledávání - "Fukuda, Akiko"

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A variant of the discrete Burgers equation derived from the correlated random walk and its ultradiscretization

Autor: Fukuda, Akiko, Segawa, Etsuo, Watanabe, Sennosuke

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 corresponding to the correlated random walk, which is also known as a generaliza

Externí odkaz: http://arxiv.org/abs/2104.14009

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$q$-VFCA: $q$-state Vector-valued Fuzzy Cellular Automata

Autor: Nishida, Yuki, Watanabe, Sennosuke, Fukuda, Akiko, Watanabe, Yoshihide

Publikováno v: Journal of Cellular Automata, 15: 207-222, 2020

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, we first develop a new fuzzification methodology for $q$-state CA. It

Externí odkaz: http://arxiv.org/abs/2002.02653

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A walk on max-plus algebra

Autor: Watanabe, Sennosuke, Fukuda, Akiko, Segawa, Etsuo, Sato, Iwao

Max-plus algebra is a kind of idempotent semiring over $\mathbb{R}_{\max}:=\mathbb{R}\cup\{-\infty\}$ with two operations $\oplus := \max$ and $\otimes := +$.In this paper, we introduce a new model of a walk on one dimensional lattice on $\mathbb{Z}$

Externí odkaz: http://arxiv.org/abs/1908.09051

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