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nlin.SI2005
Biorthogonal Laurent polynomials, Toeplitz determinants, minimal Toda orbits and isomonodromic tau functions
M. Bertola, M. Gekhtman
We consider the class of biorthogonal polynomials that are used to solve the inverse spectral problem associated to elementary co-adjoint orbits of the Borel group of upper triangu…
math-ph2005
On KP Generators and the Geometry of the HBDE
Michael Gekhtman, Alex Kasman
Sato theory provides a correspondence between solutions to the KP hierarchy and points in an infinite dimensional Grassmannian. In this correspondence, flows generated infinitesima…