Initial value problem of evolution equations defined by lattice operators
Takatoshi Ikegami, Daisuke A. Takahashi, Junta Matsukidaira · arXiv (Cornell University) · 2013
We propose dynamical systems defined on algebra of lattices, which we call `lattice equations'. We give exact general solutions of initial value problems for a class of lattice equations, and evaluate the complexity of the solutions. Moreover we discuss the relationship between those equations and binary cellular automata.