Commuting Time Evolutions in the Tropical Periodic Toda Lattice
Exactly Solvable and Integrable Systems
2012-09-25 v1 Mathematical Physics
math.MP
Abstract
The tropical (ultradiscrete) periodic Toda lattice is a dynamical system derived from a time-discretized version of the periodic Toda lattice through a limiting procedure called tropicalization. We propose a new formulation for this dynamical system with a representation by two-colored strips. Based on this formulation, a family of its commuting time evolutions is constructed.
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Cite
@article{arxiv.1206.4759,
title = {Commuting Time Evolutions in the Tropical Periodic Toda Lattice},
author = {Taichiro Takagi},
journal= {arXiv preprint arXiv:1206.4759},
year = {2012}
}
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16 pages