Almost Periodicity in Time of Solutions of the Toda Lattice
  We study an initial value problem for the Toda lattice with almost periodic initial data. We consider initial data for which the associated Jacobi operator is absolutely continuous and has a spectrum satisfying a Craig-type condition, and show the boundedness and almost periodicity in time and space of solutions. 
Ilia Binder, David Damanik, Milivoje Lukic, and Tom VandenBoom
math.SP math-ph math.MP