Vertex electrical model: Lagrangian and nonnegativity properties
Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 2, pp. 250-258

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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.
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     author = {D. V. Talalaev},
     title = {Vertex electrical model: {Lagrangian} and nonnegativity properties},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2022_210_2_a4/}
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D. V. Talalaev. Vertex electrical model: Lagrangian and nonnegativity properties. Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 2, pp. 250-258. http://geodesic.mathdoc.fr/item/TMF_2022_210_2_a4/