Timeline for Why is the Gaussian so pervasive in mathematics?
Current License: CC BY-SA 2.5
5 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Aug 18, 2017 at 1:43 | comment | added | Terry Tao | When you convolve Haar probability measure on a (compact) subgroup with itself, you get back the same measure, and this can in fact be used as a definition of such subgroups. If you convolve a Gaussian probability measure with itself, you almost get back the same Gaussian measure, but it has spread out by a factor of $\sqrt{2}$. So Gaussians are in some sense a "$\sqrt{2}$-approximate group". | |
Aug 17, 2017 at 16:32 | comment | added | Chris Jones | How exactly do you see a Gaussian as a subgroup of $\mathbb{R}$? | |
Sep 28, 2010 at 21:10 | vote | accept | Randy Qian | ||
Sep 28, 2010 at 20:47 | history | edited | Terry Tao | CC BY-SA 2.5 |
added 546 characters in body; added 22 characters in body
|
Sep 28, 2010 at 20:39 | history | answered | Terry Tao | CC BY-SA 2.5 |