This study, undertaken from the perspective of statistical dynamics, proposes the treatment of financial centres as an ecosystem, creates a multidimensional financial centre niche (FC-niche) under given generalised entropy and constraints, and interprets the evolutionary process of an FC-niche...

Although the problem of the ensembles equivalence for flexible polymers has aroused considerable interest, there is not an overall consensus on this topic. In this work, we present a theoretical investigation on the asymptotic equivalence of two ensembles for single flexible polymer chains...

Zipf’s law can be used to describe the rank-size distribution of cities in a region. It has seldom been employed to research urban internal structure. In this paper, we demonstrate that the space-filling process within a city follows Zipf’s law and can be characterized with the rank-size...

Mathematical descriptions of birth–death–movement processes are often calibrated to measurements from cell biology experiments to quantify tissue growth rates. Here we describe and analyze a discrete model of a birth–death–movement process applied to a typical two-dimensional cell...

Diffusion in heterogeneous media (i.e., layers with discontinuous values of the diffusivity parameter) is found in different situations, including geology, catalyst, physiology and separation processes. This work considers an array of rectangular layers of different diffusivity as a simple model...

Using high frequency data, this paper examines the long memory property in the unconditional and conditional volatility of the USD/INR exchange rate at different time scales using the Local Whittle (LW), the Exact Local Whittle (ELW) and the FIAPARCH models. Results indicate that the long memory...

We evaluate the degree of business cycle interdependence in the global economic network, focusing on the hypothesis that emergent market (EM) economies have decoupled from advanced economies in the recent period of globalization. We employ a novel methodological approach to the study of business...

We investigate the effect of reaction-time delay of drivers upon traffic flow analytically and numerically. We extend the optimal velocity difference model by taking reaction-time delay of drivers into account. The stability condition is obtained. The Burgers, Korteweg–de Vries (KdV) and...

Opinion Dynamics models can be, for most of them, divided between discrete and continuous. They are used in different circumstances and the relationship between them is not clear. Here we will explore the relationship between a model where choices are discrete but opinions are a continuous...

We analyze the complexity of rare economic events in troubled European economies. The economic crisis initiated at the end of 2009, forced a number of European economies to request financial assistance from world organizations. By employing the stock market index as a leading indicator of the...