2 papers
math.CA2020
Asymptotic properties of short-range interaction functionals
Douglas Hardin, Edward B. Saff, Oleksandr Vlasiuk
We describe a framework for extending the asymptotic behavior of a short-range interaction from the unit cube to general compact subsets of . This framework allows u…
math.CA2018
Riesz energy on self-similar sets
Alexander Reznikov, Oleksandr Vlasiuk
We investigate properties of minimal -point Riesz -energy on fractal sets of non-integer dimension, as well as asymptotic behavior of -point configurations that minimize t…