Vertex electrical model: Lagrangian and nonnegativity properties
نویسندگان
چکیده
This note is a modest addition to the work arXiv:2109.13952. Here we construct an embedding of space electrical networks totally non-negative Lagrangian Grassmannian in generic situation with help technique vertex integrable models statistical mechanics.
منابع مشابه
Duality properties of a general vertex model ?
We consider the duality properties of a general vertex model on a lattice in any spatial dimension. The analysis is based on a generalised weak-graph transformation under which the partition function of the vertex model remains invariant. It is shown that the generalised weak-graph transformation is self-dual for lattice coordination number q = 2, 3,4, 5,6, and we conjecture that the self-dual ...
متن کاملThe Stabilizing Properties of Nonnegativity Constraints in Image Deblurring Problems
Aims. It is well known from practice that incorporating nonnegativity constraints in image deblurring algorithms often yields solutions that are much more stable with respect to errors in the data. In the current literature, no formal explanation of the stabilizing effects of nonnegativity constraints has been given. In this paper, we present both theoretical and computational results in suppor...
متن کاملIntegral and Nonnegativity Preserving Approximations of Functions
In this paper we consider the problem of approximating a function by continuous piecewise linear functions that preserve the integral and nonnegativity of the original function.
متن کاملElectrical Membrane Properties in the Model Leishmania-Macrophage
Leishmaniasis, a disease caused by parasites of the genus Leishmania, constitutes a worldwide health problem. Since 1993 the disease has spread over wider areas of the world, and the situation has further deteriorated due to the AIDS pandemic. No vaccine is available to control the disease, and current therapies have problems of resistance, therapeutic failure, and cost (González et al., 2009)....
متن کاملFunctions Preserving Nonnegativity of Matrices
The main goal of this work is to determine which entire functions preserve nonnegativity of matrices of a fixed order n— i.e., to characterize entire functions f with the property that f(A) is entrywise nonnegative for every entrywise nonnegative matrix A of size n×n. Towards this goal, we present a complete characterization of functions preserving nonnegativity of (block) uppertriangular matri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 2022
ISSN: ['1864-5887', '1864-5879']
DOI: https://doi.org/10.1134/s0040577922020052