3 papers
math.CO2026
Linear varieties and matroids with applications to the Cullis' determinant
Alexander Guterman, Andrey Yurkov
Let be a vector space of rectangular matrices annihilating the Cullis' determinant. We show that , extending Dieudonn{é}'s result on the dimensi…
math.CO2025
Linear maps preserving the Cullis' determinant. I
Alexander Guterman, Andrey Yurkov
This paper is the first in the series of papers devoted to the explicit description of linear maps preserving the Cullis' determinant of rectangular matrices with entries belonging…
physics.class-ph2025
To the theory of helical waveguides
A. S. Yurkov
It makes sense to consider a helical waveguide with a fine pitch approximately, replacing the turns with anisotropic conductivity: infinite along the turns and zero across them. Th…