Timeline for Asymptotic volume of intersection of n-ball and a cube
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jul 26, 2023 at 11:49 | comment | added | fedja | In other words, it is $(2\pi)^{n/2}n^{-(n+1)/2}Q(c)^n$ where $Q(c)=\min_{t>0}[\Phi(ct)\frac 1t e^{t^2/2}]$ and $\Phi(z)=P(\xi>z)$ ($\xi$ is the standard 1D normal r.v.) is the Gaussian tail function. That is correct up to a constant factor depending on $c\in(0,1)$ but not on $n$. | |
| Jul 26, 2023 at 9:38 | comment | added | fedja | Depends on the precision you want. For the crude asymptotic just think Gaussian. | |
| S Jul 26, 2023 at 9:00 | review | First questions | |||
| Jul 26, 2023 at 9:43 | |||||
| S Jul 26, 2023 at 9:00 | history | asked | user509227 | CC BY-SA 4.0 |