Browsing by Author "Cafasso, Mattia"

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Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies

Cafasso, Mattia (2007-12-12)

We propose a method for computing any Gelfand-Dickey tau function living in Segal-Wilson Grassmannian as the asymptotics of block Toeplitz determinant associated to a certain class of symbols. Also truncated block Toeplitz ...
Block Toeplitz matrices and integrable systems

Cafasso, Mattia (SISSA, 2008-09-15)

This thesis deals with the connections between the theory of block Toeplitz matrices and integrable systems. Toeplitz matrices, both in the scalar and in the block case, appears in many different fields of mathematics and ...
Matrix biorthogonal polynomials on the unit circle and non-abelian Ablowitz-Ladik hierarchy

Cafasso, Mattia (2008-05-12)

In \cite{AVM} Adler and van Moerbeke described a reduction of 2D-Toda hierarchy called Toeplitz lattice. This hierarchy turns out to be equivalent to the one originally described by Ablowitz and Ladik \cite{AL} using ...

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