6533b853fe1ef96bd12abfcc
RESEARCH PRODUCT
Scenery Flow, Conical Densities, and Rectifiability
Antti Käenmäkisubject
Work (thermodynamics)Flow (mathematics)Mathematical analysisEuclidean geometryErgodic theoryConical surfaceDensity theoremMeasure (mathematics)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 |