We all use path routing everyday as we take shortcuts to avoid traffic jams, or by using faster traffic means. Previous models of traffic flow of RNA polymerase II (RNAPII) during transcription, however, were restricted to one dimension along the ...
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 45(15) 2012年4月 [査読有り]
Ultradiscrete Ai and Bi functions are directly derived through the ultradiscrete limit from q-difference analogues of the Ai and Bi functions, respectively. An infinite number of identities among the number of restricted partitions are obtained as...
Masataka Kanki   Jun Mada   Tetsuji Tokihiro   
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 8 2012年 [査読有り]
Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discr...
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 31(1) 209-220 2011年9月 [査読有り]
Existence of global solutions to initial value problems for a discrete analogue of a d-dimensional semilinear heat equation is investigated. We prove that a parameter a in the partial difference equation plays exactly the same role as the paramete...
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 80(5) 2011年5月 [査読有り]
We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the reaction term of the reaction-diffusion equation with random walk of m...
Journal of the Physical Society of Japan 55(5) 1420-1423 1986年
We find a systematic procedure constructing the 2D and 3D “periodic” Penrose tilings, which tend to the infinite Penrose tilings. The electronic states in the 2d Penrose tiling are studied by using this sequence. We observe that the spectral measu...