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arXiv · 1701.08615

Scenery flow, conical densities, and rectifiability

Antti Käenmäki
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Abstract

We present an application of the recently developed ergodic theoretic machinery on scenery flows to a classical geometric measure theoretic problem in Euclidean spaces. We also review the enhancements to the theory required in our work. Our main result is a sharp version of the conical density theorem, which we reduce to a question on rectifiability.

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BibTeXRIS

Antti Käenmäki. 2017-01-30. Scenery flow, conical densities, and rectifiability. https://doi.org/10.1007/978-3-319-18660-3_2

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