6 citations · 9 across the 3 of their papers we have counts for
4 papers
Singular Sets of Uniformly Asymptotically Doubling Measures
A. Dali Nimer
In the following paper, we prove a dimension bound on the singular set of a Radon measure assuming its doubling ratio converges uniformly on compact sets. More precisely, we prove…
Conical -uniform measure: a family of new examples and characterizations
A. Dali Nimer
Uniform measures have played a fundamental role in geometric measure theory since they naturally appear as tangent objects. For instance, they were essential in the groundbreaking…
Uniformly Distributed Measures have Big Pieces of Lipschitz Graphs locally
A. Dali Nimer
The study of uniformly distributed measures was crucial in Preiss' proof of his theorem on rectifiability of measures with positive density. It is known that the support of a unifo…
A sharp bound on the Hausdorff dimension of the singular set of an n-uniform measure
A. Dali Nimer
The study of the geometry of -uniform measures in has been an important question in many fields of analysis since Preiss' seminal proof of the rectifiability of…