Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with geometric-measure-theory
Search options not deleted
user 1044
Questions about geometric properties of sets using measure theoretic techniques; rectifiability of sets and measures, currents, Plateau problem, isoperimetric inequality and related topics.
11
votes
Accepted
Concentration of measure for arbitrary convex bodies?
There are many results, and an active research industry, along these lines. In general the Euclidean ball is the best-behaved convex body in this respect, and just how similar an arbitrary convex bod …
- 11.4k
16
votes
Accepted
Stronger version of the isoperimetric inequality
A classical result along these lines is Bonnesen's inequality, which states
$$
L^2 - 4\pi A \ge \pi^2 (r_{out} - r_{in})^2,
$$
where $L$ is the length and $A$ is the enclosed area of a simple planar c …
- 11.4k
2
votes
Levy's isoperimetric inequality for sphere
A different symmetrization-based proof is given in this review article by Schechtman (pp. 7-8); see the previous page for references.
- 11.4k