2 papers
cond-mat.mes-hall2025
Three-dimensional magnetization textures as quaternionic functions
Konstantin L. Metlov, Andrei B. Bogatyrëv
Thanks to the recent progress in bulk full three-dimensional nanoscale magnetization distribution imaging, there is a growing interest to three-dimensional (3D) magnetization textu…
math.CV2023
The space of solvable Pell-Abel equations
Andrei Bogatyrev, Quentin Gendron
Pell-Abel equation is a functional equation of the form P^{2}-DQ^{2} = 1, with a given polynomial D free of squares and unknown polynomials P and Q. We show that the space of Pell-…