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On the open Toda chain with external forcing

Probability

Speaker: Percy Deift, NYU
Location: 2112 MSB
Start time: Wed, Nov 3 2021, 4:10PM

We consider the open Toda chain with external forcing in two cases, when the external forcing stretches the chain and when the forcing compresses the chain. In the first case, we use an old comment of Jurgen Moser

to show that the system remains integrable. In the second case, we present strong numerical evidence that there is some integrability in the system, but this remains an open and very challenging problem.

This is joint work with L-C. Li, H.Spohn, C.Tomei and T.Trogdon