Timeline for Naturally occuring counting process with a 1/log asymptotics?
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Dec 4, 2017 at 23:47 | comment | added | shantanu | Since in our experiment we are counting electrons, the underlying process measures \sum_n \in \mathcal{N} I(n) where I(.) is an indicator function and n refers to time-instants when the electrons tunnel through. | |
| Dec 4, 2017 at 23:41 | history | edited | KConrad | CC BY-SA 3.0 |
added 2 characters in body
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| Dec 4, 2017 at 23:36 | comment | added | Qiaochu Yuan | I also have no idea what "physically realizable" should mean here. | |
| Dec 4, 2017 at 23:19 | answer | added | Greg Martin | timeline score: 13 | |
| Dec 4, 2017 at 23:05 | comment | added | Qiaochu Yuan | I'm not sure what a "counting process" is here. Do you mean, for example, a sequence $a_n$ solving some counting problem such that $a_n \sim \frac{n}{\log n}$, or do you mean more specifically a subset $S \subseteq \mathbb{N}$ such that $|S \cap [n]| \sim \frac{n}{\log n}$? | |
| Dec 4, 2017 at 22:20 | comment | added | Gerry Myerson | Primes are $1/\log x$ at least in the sense that $\pi(x)/x$ is asymptotic to $1/\log x$. | |
| Dec 4, 2017 at 22:03 | comment | added | Carlo Beenakker | I thought the density of primes was not $1/\log x$ but $1/\log x - 1/\log^2 x$ --- is the difference significant on the range of your experiment? | |
| Dec 4, 2017 at 21:41 | review | First posts | |||
| Dec 4, 2017 at 21:42 | |||||
| Dec 4, 2017 at 21:35 | history | asked | shantanu | CC BY-SA 3.0 |