7 citations · 22 across the 14 of their papers we have counts for
Showing 2013Show all
2 papers · 1 filter
nlin.SI2013
A geometric realization of the ultradiscrete periodic Toda lattice via tropical plane curves
Atsushi Nobe
This is a review article on a tropical geometric realization of the ultradiscrete periodic Toda lattice (UD-pTL). Time evolution of the UD-pTL is translated into an addition on the…
nlin.SI2013★ 2 cited
A geometric realization of the periodic discrete Toda lattice and its tropicalization
Atsushi Nobe
An explicit formula concerning curve intersections equivalent to the time evolution of the periodic discrete Toda lattice is presented. First, the time evolution is realized as a p…