16 citations · 55 across the 12 of their papers we have counts for
12 papers
Multiple-relaxation-time Finsler-Lagrange dynamics in a compressed Langmuir monolayer
V. Balan, H. V. Grushevskaya, N. G. Krylova +1
In this paper an information geometric approach has been proposed to describe the two-dimensional (2d) phase transition of the first order in a monomolecular layer (monolayer) of a…
Geometric properties of reliability polynomials
Z. A. H. Hassan, C. Udriste, V. Balan
Geometric modeling of multivariate reliability polynomials is based on algebraic hypersurfaces, constant level sets, rulings etc. The solved basic problems are: (i) find the reliab…
Degenerate 4-Dimensional Matrices with Semi-Group Structure
O. Veko, E. Ovsiyuk, A. Oana +3
While dealing with the nontrivial task of classifying Mueller matrices, of special interest is the study of the degenerate Mueller matrices (matrices with vanishing determinant, fo…
Confluent Heun functions and the Coulomb problem for spin 1/2 particle in Minkowski space
V. Balan, A. M. Manukyan, E. M. Ovsiyuk +2
In the paper, the well-known quantum mechanical problem of a spin 1/2 particle in external Coulomb potential, reduced to a system of two first-order differential equations, is stud…
Finsler geometrization of classic theory for fields on the interphase boundary including monomolecular 2D-system
V. Balan, H. V. Grushevskaya, N. G. Krylova +1
We prove that the Ricci scalar curvature and the Berwald scalar curvature of a two-dimensional Finsler space, considered over a vector field on the 3-dimensional flat space, are na…
Elementary constituents of the group SL(4,R), and classification of the Mueller matrices
E. Ovsiyuk, O. Veko, M. Neagu +2
The goal of this paper is to develop a systematic method of locating the Mueller matrices within the class of the matrices of the real group SL(4, R). The main idea is to construct…