2016/04/26 by Boris Dubrovin, Di Yang · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP
paper · pdf · doi:10.1007/s11005-017-0975-6
31 pages
arxiv created 2016/04/26 · arxiv updated 2017/08/02
We extend to the Toda lattice hierarchy the approach of [3, 4] to computation of logarithmic derivatives of tau-functions in terms of the so-called matrix resolvents of the corresponding differ- ence Lax operator. As a particular application we obtain explicit generating series for connected GUE correlators. On this basis an efficient recursive procedure for computing the correlators in full genera is developed.