Quasi-uniformity of minimal weighted energy points on compact metric spaces
نویسندگان
چکیده
منابع مشابه
Quasi-uniformity of minimal weighted energy points on compact metric spaces
For a closed subset K of a compact metric space A possessing an α-regular measure μ with μ(K) > 0, we prove that whenever s > α, any sequence of weighted minimal Riesz s-energy configurations ωN = {x i,N} N i=1 on K (for ‘nice’ weights) is quasi-uniform in the sense that the ratios of its mesh norm to separation distance remain bounded as N grows large. Furthermore, if K is an α-rectifiable com...
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ژورنال
عنوان ژورنال: Journal of Complexity
سال: 2012
ISSN: 0885-064X
DOI: 10.1016/j.jco.2011.10.009