12 citations · 33 across the 9 of their papers we have counts for
9 papers
Stationary Measures and Mean Flux Depending on Multiple Conserved Quantities in a Stochastic Cellular Automaton
Kazushige Endo, Shinsuke Iwao, Hidetomo Nagai +1
We analyze a stochastic 5-neighbor cellular automaton with several conserved quantities, including the particle density. By examining the eigenvalue problem of the associated trans…
Discrete and Ultradiscrete Mixed Soliton Solutions
Hidetomo Nagai, Nobuhiko Shinzawa
We propose a new type of soliton equation, which is obtained from the generalized discrete BKP equation. The obtained equation admits two types of soliton solutions. The signs of a…
Discrete and Ultradiscrete Periodic Phase Soliton Equations
Hidetomo Nagai, Yasuhiro Ohta, Ryogo Hirota
We propose new type of discrete and ultradiscrete soliton equations, which admit extended soliton solution called periodic phase soliton solution. The discrete equation is derived…
The discrete Toda equation revisited, dual -Grothendieck polynomial, ultradiscretization and static soliton
Shinsuke Iwao, Hidetomo Nagai
This paper presents a study of the discrete Toda equation , that was introduced in 1977. In this paper, it has been proved that the…
Ultradiscrete Permanent Solution to the Ultradiscrete KP Equation
Hidetomo Nagai
We propose an ultradiscrete permanent solution to the ultradiscrete KP equation. The ultradiscrete permanent is an ultradiscrete analogue of the usual permanent. The elements on th…
Tropical Krichever construction for the non-periodic box and ball system
Shinsuke Iwao, Hidetomo Nagai, Shin Isojima
A solution for an initial value problem of the box and ball system is constructed from a solution of the periodic box and ball system. The construction is done through a specific l…