The inverse statistics is the distribution of waiting times needed to achieve a predefined level of return obtained from (detrended) historic asset prices [I. Simonsen, M.H. Jensen, A. Johansen, Eur. Phys. J. 27 (2002) 583; M.H. Jensen, A. Johansen, I. Simonsen, Physica A 234 (2003) 338]. Such a...

Spatial networks, also known as random geometric graphs, are random graphs with certain distance metric, in which each node is connected to some others within its neighborhood disc. Due to the rapid increase of network scales, the design of spatial networks becomes increasingly challenging....

We use the formulation of equilibrium statistical mechanics in order to study some important characteristics of language. Using a simple expression for the Hamiltonian of a language system, which is directly implied by the Zipf law, we are able to explain several characteristic features of human...

A brief review is given of the minority game, an idealized model stimulated by a market of speculative agents, and its complex many-body behaviour. Particular consideration is given to analytic results for the model rather than discussions of its relevance in real-world situations.

Waiting time indicators are defined by measuring the time needed for a point x to approach a given point y. Our aim is to test the use of waiting time indicators, and quantitative recurrence ones to numerically estimate the local dimension of attractors in dynamical systems, as suggested by some...

An interest for the low-energy range of the nonextensive distribution function arises from the study of radiative recombination in electron cooling devices in particle accelerators, whose experimentally measured reaction rates are much above the theoretical prediction. The use of generalized...

We study effects of average degree on cooperation in the networked prisoner's dilemma game. Typical structures are considered, including random networks, small-world networks and scale-free networks. Simulation results show that the average degree plays a universal role in cooperation occurring...

A random pseudofractal network (RPN) is generated by a recursive growing rule. The RPN is of the scale-free feature and small-world effect. We obtain the theoretical results of power-law exponent γ=3, clustering coefficient C=3π<Superscript>2</Superscript>-19≈ 0.74, and a proof that the mean distance increases no...</superscript>

In relativistic kinetic theory, which underlies relativistic hydrodynamics, the molecular chaos hypothesis stands at the basis of the equilibrium Maxwell-J<InlineEquation ID="Equ1"> <EquationSource Format="TEX">$\ddot{\mbox{u}}$</EquationSource> </InlineEquation>ttner probability distribution for the four-momentum p<Superscript>α</Superscript>. We investigate the possibility of validating this hypothesis by...</superscript></equationsource></inlineequation>

We propose a method to determine the community structure of a complex network. In this method the ground state problem of a ferromagnetic random field Ising model is considered on the network with the magnetic field B<Subscript>s</Subscript>=+∞, B<Subscript>t</Subscript>=-∞, and B<Subscript>i≠s,t</Subscript>=0 for a node pair s and t. The ground state...</subscript></subscript></subscript>