Discrete Contin. Dyn. Syst. 37, 2259-2264 (2017) [DOI: 10.3934/dcds.2017098]
On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies
Isaac Alvarez-Romero and Gerald Teschl
We prove that a solution of the Toda lattice cannot decay too fast at two different times unless it is trivial. In fact, we establish this result for the entire Toda and Kac-van Moerbeke hierarchies.