Rational Differential Systems, Loop Equations, and Application to the qth Reductions of KP

To any solution of a linear system of differential equations, we associate a matrix kernel, correlators satisfying a set of loop equations, and in the presence of isomonodromic parameters, a Tau function. We then study their semiclassical expansion (WKB type expansion in powers of the weight ħ per d...

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Bibliographic Details
Main Authors: Bergére, Michel (Author), Borot, Gaetan (Author), Eynard, Bertrand (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Basel, 2020-05-13T15:37:12Z.
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