D. V. Talalaev, “Vertex electrical model: Lagrangian and nonnegativity properties”, TMF, 2022, Volume 210, Number 2,Pages <nobr>250

Vertex electrical model: Lagrangian and nonnegativity properties

D. V. Talalaev^ab

^a Lomonosov Moscow State University, Moscow, Russia
^b Center of Integrable Systems, Demidov Yaroslavl State University, Yaroslavl, Russia

Abstract: We construct an embedding of the space of electrical networks to the totally nonnegative Lagrangian Grassmannian in a generic situation with the help of the technique of vertex integrable models of statistical mechanics.

Keywords: electrical networks, vertex model, total positivity.

Received: 29.10.2021
Revised: 29.10.2021

DOI: 10.4213/tmf10188