Greedy energy points with external fields

Details Greedy energy points with external fields Greedy energy points with external fields

2009-01-27

arxiv.org/abs/0901.4160v2

Physics

Mathematical Physics

Section with numerical experiments added, typos corrected, minor modifications in the text, new reference added. The space X i

Scientific paper

In this paper we introduce several extremal sequences of points on locally compact metric spaces and study their asymptotic properties. These sequences are defined through a greedy algorithm by minimizing a certain energy functional whose expression involves an external field. Some results are also obtained in the context of Euclidian spaces $\mathbb{R}^{p}$, $p\geq 2$. As a particular example, given a closed set $A\subset\mathbb{R}^{p}$, a lower semicontinuous function $f:\mathbb{R}^p\to(-\infty,+\infty]$ and an integer $m\geq 2$, we investigate (under suitable conditions on $A$ and $f$) sequences $\{a_{i}\}_{1}^{\infty}\subset A$ that are constructed inductively by selecting the first $m$ points $a_{1},...,a_{m}$ so that the functional \[ \sum_{1\leq i

Affiliated with

Also associated with

No associations

Rating

Greedy energy points with external fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Greedy energy points with external fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Greedy energy points with external fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-361382