The question, what information about the system can be derived from short time series of potassium current signal recorded at various voltages, has been posed. The statistical analysis of 4000-point data samples of ionic current in a single channel of the biological membrane is presented. The...

Moving particles that rest along their trajectory lead to time-fractional diffusion equations for the scaling limit distributions. For power law waiting times with infinite mean, the equation contains a fractional time derivative of order between 0 and 1. For finite mean waiting times, the most...

Recently it has been found that composite Brownian walk searches are more efficient than any Lévy walk when searching is non-destructive and when the Lévy walks are not responsive to conditions found in the search. Here a new class of adaptive Lévy walk searches is presented that encompasses...

We show that within classical statistical mechanics it is possible to naturally derive power-law distributions which are of Tsallis type. The only assumption is that microcanonical distributions have to be separable from of the total system energy, which is reasonable for any sensible...

The paper investigates the quantitative distribution of language types across languages of the world. The studies are based on three large-scale typological data bases: The World Color Survey, the Automated Similarity Judgment Project data base, and the World Atlas of Language Structures. The...

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring connectivity, assortativity, clustering and centrality have...

In this paper, the aim is to show that social network analysis (SNA) can bring new explanations to old marketing problems. The history of SNA is now a long one but the last results, in particular those found by physicists, are very important in many disciplines and also in marketing. For...

If firm sizes have a small dispersion, microeconomic shocks lead to negligible aggregate fluctuations. This has led economists to appeal to macroeconomic (sectoral or aggregate shocks) shocks to explain aggregate fluctuations. However, the empirical distribution of firms is fat-tailed. This...

A large market economy has a huge number of degrees of freedom with weak microlevel coordination. The 'implicit microfoundations' approach considers this property of micro-level interactions to more strongly determine macro-level outcomes compared to the precise details of individual choice...

A large market economy has a huge number of degrees of freedom with weak microlevel coordination. The implicit microfoundations' approach assumes this property of micro-level interactions more strongly conditions macro-level outcomes compared to the precise details of individual choice behavior;...