Geodesic
Derivatives of regular measures
Algebra i analiz, Tome 19 (2007) no. 2, pp. 86-104.

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $\mu$ be a positive singular measure on Euclidean space. If $\mu$ is sufficiently regular, then for any $a\in[0,+\infty]$ the set where the derivative of $\mu$ is equal to $a$ is large in the sense of the Hausdorff dimension.
Keywords: Regular singular measure, Hausdorff dimension, derivative. 
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E. Doubtsov. Derivatives of regular measures. Algebra i analiz, Tome 19 (2007) no. 2, pp. 86-104. http://geodesic.mathdoc.fr/item/AA_2007_19_2_a4/

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