Scenery flow, conical densities, and rectifiability
Classical Analysis and ODEs
2017-02-06 v1
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.
Keywords
Cite
@article{arxiv.1701.08615,
title = {Scenery flow, conical densities, and rectifiability},
author = {Antti Käenmäki},
journal= {arXiv preprint arXiv:1701.08615},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1401.0231