4 papers
Generalized FDNF fuzzification of elementary cellular automata and its nonlinear pattern dynamics
Takiko Sasaki, Seiryu Shimizu, Tetsuji Tokihiro
Fuzzy disjunctive normal form (FDNF) gives the canonical multi-affine extension of an elementary cellular automaton (ECA) rule to the unit cube. Although it preserves the Boolean r…
A Structure-Preserving Stagewise Rescaling Algorithm for a Two-Dimensional Nonlocal MEMS Equation in an Asymptotically Constant-Feedback Regime
Takiko Sasaki, Tetsuji Tokihiro
Nonlocal MEMS equations exhibit finite-time quenching, or touchdown, which is difficult to capture numerically. We study a stagewise rescaling algorithm for a two-dimensional nonlo…
Sector-dominant graph-local drivers for path-window barrier Hamiltonians on the Boolean hypercube
Takiko Sasaki, Tetsuji Tokihiro
We study finite-size adiabatic state preparation on Boolean hypercubes using graph-local drivers built from sector/path coordinates related to monotone Gray-code representatives. T…
Integrable cellular automata on finite fields of order
Aoi Araoka, Tetsuji Tokihiro
This paper explores cellular automata (CA) constructed from Yang-Baxter maps over finite fields . We define -matrices using a map on and establish necessa…