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SUMMARY:On the Toda lattice with random matrix initial data - Thomas Trogd
 on (University of Washington)
DTSTART:20221018T130000Z
DTEND:20221018T133000Z
UID:TALK182537@talks.cam.ac.uk
DESCRIPTION:We consider two regimes for the evolution of the finite Toda l
 attice with random data in the large-dimensional limit.&nbsp\; First\, in 
 the long-time regime\, the lattice can be seen as an eigenvalue algorithm 
 and we characterize the distribution of how long the algorithm must run in
  order to compute the top eigenvalue to a prescribed accuracy.&nbsp\; Seco
 nd\, we consider O(1) times and use a new perturbation theory for orthogon
 al polynomials to analyze slowly-growing subblocks of the solution. This i
 s joint work with Percy Deift and Xiucai Ding.
LOCATION:Seminar Room 1\, Newton Institute
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