Geometry of measures in R^n

Preiss, D. (1987). Geometry of measures in R^n: distribution, rectifiability, and densities. The Annals of Mathematics.

Type

Journal article

Intellectual base

Primary research

Year

1987

DOI

10.2307/1971410

DOI registrant

JSTOR

Link

https://doi.org/10.2307/1971410

Cited by

2 citations across 2 artifacts.

Domain-specific

• Hausdorff density
  • For dimension s, limsup and liminf of measure of a radius-r ball divided by r to the s define upper and lower densities; equality gives the density subject to normalization convention.
• Tangent measure
  • Tangent measures at x are nonzero weak limits of positive renormalizations of pushforwards under maps y↦(y−x)/r as r tends to zero.

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