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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…
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…
Non-ergodic inference for stationary-increment harmonizable stable processes
Ly Viet Hoang, Evgeny Spodarev
We consider the class of stationary-increment harmonizable stable processes with infinite control measure, which most notably includes real harmonizable fractional stable motions.…
A short memory condition for infinitely divisible random fields
Vitaly Makogin, Evgeny Spodarev
This small note yields a sufficient condition for the short range dependence of measurable stationary infinitely divisible moving average random fields with --dimensional index…
A Fubini-type limit theorem for the integrated hyperuniform infinitely divisible moving averages
Evgeny Spodarev
This short note shows a limiting behavior of integrals of some centered antipersistent stationary infinitely divisible moving averages as the compact integration domain in …