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attic:dynstat [2019/08/30 14:33] – chunchung | attic:dynstat [2022/05/21 16:00] (current) – [2018-07-02] chunchung | ||
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We will use a [[dynstat: | We will use a [[dynstat: | ||
+ | ===== Short term questions and tasks ===== | ||
+ | ==== 2018-05-24 ==== | ||
+ | - Given $\langle J\rangle$ and $\Delta J$, characterize resultant dynamics with eigenvalues $\lambda_n$ of covariance or correlation matrix $C$. | ||
+ | - How much are the eigenvalues influenced by the realized coupling configuration? | ||
+ | - Fit the eigenvalues with $$\lambda_n\sim n^{-\alpha}.$$ Perform systematic calculations to find the relationship between $\alpha$ and $\langle J\rangle$, $\Delta J$. | ||
+ | - Are there other ways to characterize the activity data beside $\alpha$? | ||
+ | - Fixing $\langle J\rangle$ and $\Delta J$, does forms of the distribution $P(J)$ influence $\alpha$? For example, does having a long tail matters? | ||
+ | ==== 2018-05-30 ==== | ||
+ | |||
+ | Showing results in [[[[playground: | ||
+ | |||
+ | ==== 2018-07-02 ==== | ||
+ | [[[[jy: | ||