Gerald Teschl
On the Spatial Asymptotics of Solutions of the Toda Lattice
(20K, LaTeX2e)

ABSTRACT.  We investigate the spatial asymptotics of decaying solutions of the Toda hierarchy and show that 
the asymptotic behaviour is preserved by the time evolution. In particular, we show that the leading 
asymptotic term is time independent. Moreover, we establish infinite propagation speed for the 
Toda lattice.