With the network methods and random matrix theory, we investigate the interaction structure of communities in financial markets. In particular, based on the random matrix decomposition, we clarify that the local interactions between the business sectors (subsectors) are mainly contained in the...

We investigate the large-fluctuation dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and German DAX. The dynamic relaxation both before and after the large fluctuations is characterized by a power law, and the exponents $p_\pm$ usually vary with...

A dynamic herding model with interactions of trading volumes is introduced. At time $t$, an agent trades with a probability, which depends on the ratio of the total trading volume at time $t-1$ to its own trading volume at its last trade. The price return is determined by the volume imbalance...

We present a relatively detailed analysis of the persistence probability distributions in financial dynamics. Compared with the auto-correlation function, the persistence probability distributions describe dynamic correlations non-local in time. Universal and non-universal behaviors of the...

The surface of La1/3Ca2/3MnO3 (LCMO) films with thickness, t, ranging from 4 to 150 nm has been studied. Highly ordered palpus-like crystals induced by strain are observed in the films grown on the substrate of SrTiO3 (with thickness t ranging from 20 to 50 nm) and on sapphire (with thickness t...

We investigate statistical properties of the German Dax and Chinese indices, including the volatility distribution, autocorrelation function, DFA function and return-volatility correlation function, with both the daily data and minutely data. At the minutely time scale, the Chinese indices may...

We investigate the large-fluctuation dynamics in financial markets, based on the minute-to-minute and daily data of the Chinese Indices and the German DAX. The dynamic relaxation both before and after the large fluctuations is characterized by a power law, and the exponents p± usually vary with...

We simulate the kinetic Ashkin-Teller model with both ordered and disordered initial states, evolving in contact with a heat-bath at the critical temperature. The power-law scaling behaviour for the magnetic order and electric order are observed in the early time stage. The values of the...

A dynamic feed-back interaction is introduced to the Eguiluz–Zimmermann model (Phys. Rev. Lett. 85 (2000) 5659). In application to financial dynamics, transmission of information at time t′ is supposed to depend on the variation of the financial index at t′-1. The generated time series is...

We investigate the spatial and temporal structures of four financial markets in Greater China. In particular, we uncover different characteristics of the four markets by analyzing the sector and subsector structures which are detected through the random matrix theory. Meanwhile, we observe that...