Tropical curves and integrable piecewise linear maps
Mathematical Physics
2012-11-02 v2 Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present applications of tropical geometry to some integrable piecewise-linear maps, based on the lecture given by one of the authors (R. I.) at the workshop "Tropical Geometry and Integrable Systems" (University of Glasgow, July 2011), and on some new results obtained afterward. After a brief review on tropical curve theory, we study the spectral curves and the isolevel sets of the tropical periodic Toda lattice and the periodic Box-ball system.
Cite
@article{arxiv.1111.5771,
title = {Tropical curves and integrable piecewise linear maps},
author = {Rei Inoue and Shinsuke Iwao},
journal= {arXiv preprint arXiv:1111.5771},
year = {2012}
}
Comments
18 pages