Oscillations of BV measures on nested fractals
Motivated by recent developments in the theory of bounded variation functions on nested fractals, this paper studies the exact asymptotics of functionals related to the total variation measure associated with unions of $n$-complexes. The oscillatory behavior observed implies the non-uniqueness of BV measures in this setting.
- Pub Date:
- January 2022
- Mathematics - Metric Geometry;
- Mathematics - Probability;
- 16 pages