2021
DOI: 10.1007/s00220-021-04216-6
|View full text |Cite
|
Sign up to set email alerts
|

Asymptotic Optimality of the Triangular Lattice for a Class of Optimal Location Problems

Abstract: We prove an asymptotic crystallization result in two dimensions for a class of nonlocal particle systems. To be precise, we consider the best approximation with respect to the 2-Wasserstein metric of a given absolutely continuous probability measure $$f \mathrm {d}x$$ f d x by a discrete probability measure $$\sum _i m_i \delta _{z_i}$$ ∑ … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Year Published

2023
2023
2023
2023

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
references
References 73 publications
(123 reference statements)
0
0
0
Order By: Relevance