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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 210, Number 2, Pages 250–258
DOI: https://doi.org/10.4213/tmf10188 (Mi tmf10188) 		 
Vertex electrical model: Lagrangian and nonnegativity properties

D. V. Talalaevab

a Lomonosov Moscow State University, Moscow, Russia
b Center of Integrable Systems, Demidov Yaroslavl State University, Yaroslavl, Russia
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DOI: https://doi.org/10.4213/tmf10188
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.
Funding agency Grant number
Foundation for the Development of Theoretical Physics and Mathematics BASIS 20-7-1-21-1
Russian Foundation for Basic Research 20-01-00157А
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1397
Received: 29.10.2021
Revised: 29.10.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 2, Pages 216–223
DOI: https://doi.org/10.1134/S0040577922020052
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Talalaev, “Vertex electrical model: Lagrangian and nonnegativity properties”, TMF, 210:2 (2022), 250–258; Theoret. and Math. Phys., 210:2 (2022), 216–223
Citation in format AMSBIB
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