This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

Stimulation and movement interact non-linearly across multiple scales—a point empirically
and quantitatively available through multifractal structure. Multifractal movements might …

Affordances are action possibilities defined by the relationship between the organism and
the environment. The relationship has traditionally been described by geometric properties …

Price without transaction makes no sense. Trading volume authenticates its corresponding
price, so there exists mutual information and correlation between price and trading volume …

When probing the dynamical properties of complex systems, such as physical and
physiological systems, the output signal may be not the expected one. It is often a linear or …

This paper faces a central theme in applied statistics and information science, which is the
assessment of the stochastic structure of rank-size laws in text analysis. We consider the …

Multi-scale behaviors emerge in financial markets as complex systems. In this study, we
intended to employ multi-scale Shannon entropy to trace the information transition of these …

In this paper, we focus on the critical periods in the economy that are characterized by
unusual and large fluctuations in macroeconomic indicators, like those measuring inflation …

The existence of the important similarities between gelation and glass transition makes it
hard to distinguish between the two types of nonergodic states experimentally. Here, we …

In this study, we show that discrete Ito equations with short-tail Gaussian marginal
distribution function generate multifractal time series. The multifractality is due to the …