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- W2952893689 abstract "Let $A$ be a compact set in $Rp$ of Hausdorff dimension $d$. For $sin(0,d)$, the Riesz $s$-equilibrium measure $mu^{s,A}$ is the unique Borel probability measure with support in $A$ that minimizes $$ Is(mu):=iintRk{x}{y}{s}dmu(y)dmu(x)$$ over all such probability measures. In this paper we show that if $A$ is a strictly self-similar $d$-fractal, then $mu^{s,A}$ converges in the weak-star topology to normalized $d$-dimensional Hausdorff measure restricted to $A$ as $s$ approaches $d$ from below." @default.
- W2952893689 created "2019-06-27" @default.
- W2952893689 creator A5058126878 @default.
- W2952893689 date "2009-05-13" @default.
- W2952893689 modified "2023-09-27" @default.
- W2952893689 title "Riesz s-Equilibrium Measures on d-Dimensional Fractal Sets as s Approaches d" @default.
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