Quantitative stability for sumsets in R[superscript n]
Given a measurable set A ⊂ ℝ[superscript n] of positive measure, it is not difficult to show that |A + A| = |2A| if and only if A is equal to its convex hull minus a set of measure zero. We investigate the stability of this statement: If (|A + A| - |2A|)/|A| is small, is A close to its convex hull?...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
European Mathematical Publishing House
2018
|
| Online Access: | http://hdl.handle.net/1721.1/115583 https://orcid.org/0000-0002-9357-7524 |