30 citations · 193 across the 29 of their papers we have counts for
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Generalized Bäcklund-Darboux transformations for Coxeter-Toda flows from a cluster algebra perspective
Michael Gekhtman, Michael Shapiro, Alek Vainshtein
We present the third in the series of papers describing Poisson properties of planar directed networks in the disk or in the annulus. In this paper we concentrate on special networ…
Cauchy Biorthogonal Polynomials
M. Bertola, M. Gekhtman, J. Szmigielski
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite-Pade' approximation scheme. Associated to any totally positiv…
Poisson Geometry of Directed Networks in an Annulus
Michael Gekhtman, Michael Shapiro, Alek Vainshtein
As a generalization of Postnikov's construction (see arXiv: math/0609764), we define a map from the space of edge weights of a directed network in an annulus into a space of loops…