Vertex electrical model: Lagrangian and nonnegativity properties

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.

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Bibliographic Details
Published in:Theoretical and mathematical physics 2022-02, Vol.210 (2), p.216-223
Main Author: Talalaev, D. V.
Format: Article
Language:English
Subjects:
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639/766/189
639/766/530
639/766/747
Applications of Mathematics
Electrical networks
Mathematical and Computational Physics
Physics
Physics and Astronomy
Statistical mechanics
Theoretical
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Description
Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577922020052