Rei Inoue

most citedTropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

nlin.SI2009★ 3 cited

Tropical Jacobian and the generic fiber of the ultra-discrete periodic Toda lattice are isomorphic

Rei Inoue, Tomoyuki Takenawa

We prove that the general isolevel set of the ultra-discrete periodic Toda lattice is isomorphic to the tropical Jacobian associated with the tropical spectral curve. This result i…

math-ph2008

Singular fiber of the Mumford system and rational solutions to the KdV hierarchy

Rei Inoue, Pol Vanhaecke, Takao Yamazaki

We study the singular iso-level manifold $M_{g} (0)$ of the genus $g$ Mumford system associated to the spectral curve $y^{2} = x^{2 g + 1}$ . We show that $M_{g} (0)$ is stratified by $g + 1$ open…

math-ph2006★ 2 cited

Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant

Rei Inoue, Yukiko Konishi

We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson struct…