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Levels of complexity in financial markets
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We consider different levels of complexity which are observed in the empirical investigation of financial time series. We discuss recent empirical and theoretical work showing that statistical properties of financial time series are rather complex under several ways. Specifically, they are complex with respect to their (i) temporal and (ii) ensemble properties. Moreover, the ensemble return properties show a behavior which is specific to the nature of the trading day reflecting if it is a normal or an extreme trading day.
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Second-order Control of Complex Systems with Correlated Synthetic Data
A method to generate synthetic datasets with controlled covariance structure is introduced and demonstrated on socio-spatial systems and financial time-series.
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