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Article Dans Une Revue J.Phys.A Année : 2022

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

Résumé

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.

Dates et versions

hal-03650831 , version 1 (25-04-2022)

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Mattia Cafasso, Di Yang. Tau-functions for the Ablowitz–Ladik hierarchy: the matrix-resolvent method. J.Phys.A, 2022, 55 (20), pp.204001. ⟨10.1088/1751-8121/ac5e74⟩. ⟨hal-03650831⟩
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