# Scenery flow, conical densities, and rectifiability

## TL;DR

This paper applies ergodic scenery flow techniques to geometric measure theory, specifically improving conical density theorems and linking them to rectifiability in Euclidean spaces.

## Contribution

It introduces a sharp version of the conical density theorem using scenery flow methods and connects it to rectifiability, expanding the theoretical framework.

## Key findings

- Established a sharper conical density theorem.
- Linked conical densities to rectifiability criteria.
- Enhanced ergodic scenery flow theory for geometric applications.

## 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.