Timeline for Do these limits exist?
Current License: CC BY-SA 4.0
8 events
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Jun 28, 2018 at 14:31 | comment | added | user44191 | $\alpha = \frac{\sqrt{2}}{2}(x_0+x_1)$; then $\beta$ is $\frac{1}{2}(x_{-1}+2x_0+x_1)$, and $\beta^n$ is a centered binomial distribution, so the limit is $1$. | |
Jun 28, 2018 at 13:47 | comment | added | MSMalekan | @user44191 What do you mean by properly scaled indicator function on 0,1∈Z? | |
Jun 28, 2018 at 3:48 | comment | added | user44191 | I think it is sometimes $1$; consider $\alpha$ the properly scaled indicator function on $0, 1 \in \mathbb{Z}$? | |
Jun 28, 2018 at 1:34 | comment | added | MSMalekan | @usser44191: No, I think these limits are always equal zero. | |
Jun 27, 2018 at 21:37 | comment | added | user44191 | Do you have any examples where the limit is neither $0$ nor $1$? | |
Jun 27, 2018 at 17:57 | history | edited | MSMalekan | CC BY-SA 4.0 |
edited body
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Jun 27, 2018 at 17:44 | history | edited | Joe Silverman | CC BY-SA 4.0 |
Improved formatting
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Jun 27, 2018 at 17:18 | history | asked | MSMalekan | CC BY-SA 4.0 |