Can I read Asymptotics of k-nearest Neighbor Riesz Energies on EtoBox?

Asymptotics of k-nearest Neighbor Riesz Energies by Douglas P. Hardin; Edward B. Saff; Oleksandr Vlasiuk is a Mathematics article available to read on EtoBox.

What is Asymptotics of k-nearest Neighbor Riesz Energies about?

We obtain new asymptotic results about systems of N particles governed by Riesz interactions involving k-nearest neighbors of each particle as N → ∞. These results include a generalization to weighted Riesz potentials with external field. Such interactions offer an appealing alternative to other approaches for reducing the computational complexity of an N -body interaction. We find the first-order term of the large N asymptotics and characterize the limiting distribution of the minimizers. We also obtain results about the -convergence of such interactions, and describe minimizers on the 1-dimensional flat torus in the absence of external field, for all N .

Who reads Asymptotics of k-nearest Neighbor Riesz Energies?

Author

Douglas P. Hardin; Edward B. Saff; Oleksandr Vlasiuk

Publisher

Springer Science and Business Media LLC

Published

2023

Language

EN

Field

Mathematics (Physical Sciences)