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- W4285490950 abstract "Temporal fluctuation scaling (TFS) is a power-law relation between the variance ($mathrm{ensuremath{Xi}}$) and the mean ($mathrm{ensuremath{Upsilon}}$) which is present in cumulative time series. Taking into account that Theil index ($T$) can be assumed as a measure of dispersion and considering diffusive trajectory time series, we find a power-law relation between $T$ and $mathrm{ensuremath{Upsilon}}$ of the form $Tensuremath{sim}{(1ensuremath{-}cmathrm{ensuremath{Upsilon}})}^{ensuremath{beta}}$, which we call temporal Theil scaling (TTS). Specifically, by analyzing data of volatility and absolute log-return for 24 nonstationary time series of financial markets, meteorology, and COVID-19 spread, we find that TTS is present in diffusive trajectory time series, while TFS is not present. Furthermore, we show that the power-law relation of TTS has a form that is similar to the relation between order parameter and temperature, which is found in the Ginzburg-Landau theory when the nontrivial critical points of an energy functional ${mathcal{F}}_{ensuremath{eta},ensuremath{delta}}$ containing arbitrary powers $ensuremath{eta}$ and $ensuremath{delta}$ of the order parameter are calculated." @default.
- W4285490950 created "2022-07-15" @default.
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- W4285490950 date "2022-07-15" @default.
- W4285490950 modified "2023-09-26" @default.
- W4285490950 title "Temporal Theil scaling in diffusive trajectory time series" @default.
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- W4285490950 doi "https://doi.org/10.1103/physreve.106.014117" @default.
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