Initial value problem of evolution equations defined by lattice operators
Exactly Solvable and Integrable Systems
2013-02-13 v1 Cellular Automata and Lattice Gases
Abstract
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.
Cite
@article{arxiv.1302.2734,
title = {Initial value problem of evolution equations defined by lattice operators},
author = {Takatoshi Ikegami and Daisuke Takahashi and Junta Matsukidaira},
journal= {arXiv preprint arXiv:1302.2734},
year = {2013}
}
Comments
18 pages, 3 figures