Friday, June 22, 2012

1206.4759 (Taichiro Takagi)

Commuting Time Evolutions in the Tropical Periodic Toda Lattice    [PDF]

Taichiro Takagi
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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