| | |
| | |
Stat |
Members: 3645 Articles: 2'501'711 Articles rated: 2609
20 April 2024 |
|
| | | |
|
Article overview
| |
|
Low Correlation Noise Stability of Symmetric Sets | Steven Heilman
; | Date: |
2 Nov 2015 | Abstract: | We study the Gaussian noise stability of subsets A of Euclidean space
satisfying A=-A. It is shown that an interval centered at the origin, or its
complement, maximizes noise stability for small correlation, among symmetric
subsets of the real line of fixed Gaussian measure. In the plane, we show that
a ball or its complement locally maximizes noise stability for small
correlation, among symmetric sets of fixed Gaussian volume. Some asymptotic
results are proven in higher-dimensional Euclidean space. In summary, we
provide the first known positive results for the Symmetric Gaussian Problem. | Source: | arXiv, 1511.0382 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |