JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 47(32) 2014年8月 [査読有り]
We propose a solitonic dynamical system over finite fields that may be regarded as an analogue of the box-ball systems. The one-soliton solutions of the system, which have nested structures similar to fractals, are also proved. The solitonic syste...
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 40(26) 7159-7174 2007年6月 [査読有り]
The initial value problem for a class of reversible elementary cellular automata with periodic boundaries is reduced to an initial- boundary value problem for a class of linear systems on a finite commutative ring Z(2). Moreover, a family of such ...
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 37(22) 5789-5804 2004年6月 [査読有り]
Reversibility of one-dimensional cellular automata with periodic boundary conditions is discussed. It is shown that there exist exactly 16 reversible elementary cellular automaton rules for infinitely many cell sizes by means of a correspondence b...
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 37(15) L167-L171 2004年4月 [査読有り]
We study the entanglement cost of the states in the antisymmetric space, which consists of (d - 1) d-dimensional systems. The cost is always 1092(d - 1) ebits when the state is divided into bipartite C-d circle times (C-d)(d-2). Combined with the ...
Tatsuya Hayashi   Fumitaka Yura   Jun Mada   Hiroki Kurihara   Tetsuji Tokihiro   
2022年1月
A two-dimensional mathematical model for dynamics of endothelial cells in
angiogenesis is investigated. Angiogenesis is a morphogenic process in which
new blood vessels emerge from an existing vascular network. Recently a
one-dimensional discrete ...