4 papers
Algebraic valued group structures on , Kontsevich-type polynomials, and multiplication formulas, I
Victor Buchstaber, Ilia Gaiur, Vladimir Rubtsov
The theory of a two-valued algebraic group structure on a complex plane and complex projective line is developed. In this theory, depending on the choice of the neutral element, th…
Some open mathematical problems on fullerenes
Artur Bille, Victor Buchstaber, Evgeny Spodarev
Fullerenes are hollow carbon molecules where each atom is connected to exactly three other atoms, arranged in pentagonal and hexagonal rings. Mathematically, they can be combinator…
Method for Evaluating the Number of Signal Sources and Application to Non-invasive Brain-computer Interface
Alexandra Bernadotte, Victor Buchstaber
This paper provides a brief introduction of the mathematical theory behind the time series unfolding method. The algorithms presented serve as a valuable mathematical and analytica…
Random eigenvalues of nanotubes
Artur Bille, Victor Buchstaber, Pavel Ievlev +2
The hexagonal lattice and its dual, the triangular lattice, serve as powerful models for comprehending the atomic and ring connectivity, respectively, in \textit{graphene} and \tex…