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...

After filtering out the α and β peaks in the power spectrum of the human brain electroencephalogram signals Y(t′), the probability distribution of the variation ΔY(t′)≡Y(t′+Δt)-Y(t′) exhibits a dynamic scaling behavior. The auto-correlation functions, persistence probabilities and...

Payoffs which depend on the scores of the strategies are introduced into the standard Minority Game (MG). The double-periodicity behavior of the standard model is consequently removed, and stylized facts arise, such as long-range volatility correlations and “fat-tails” of the probability...

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 and...

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 nonlocal in time. Universal and non-universal behaviors of the German...