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Paper detail

Tau-functions for the Ablowitz--Ladik hierarchy: the matrix-resolvent method

We extend the matrix-resolvent method for computing logarithmic derivatives of tau-functions to the Ablowitz--Ladik hierarchy. In particular, we derive a formula for the generating series of the logarithmic derivatives of an arbitrary tau-function in terms of matrix resolvents. As an application, we provide a way of computing certain integrals over the unitary group.

preprint2021arXivOpen access
Mattia CafassoDi Yang
math-phmath.MPnlin.SI
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Mattia CafassoDi Yang

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