There has been a quickly growing interest in properties of complex networks, such as the small world property, power-law degree distribution, network transitivity, and community structure, which seem to be common to many real world networks. In this study, we consider the community property...

We consider site percolation of dimers (“needles”) on simple cubic lattice. The percolation threshold is estimated as p<Subscript>c</Subscript> <Superscript>perc</Superscript> ≈ 0.2555 ± 0.0001. The jamming threshold is estimated as p<Subscript>c</Subscript> <Superscript>jamm</Superscript>=0.799 ± 0.002. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

We study community structure of networks. We have developed a scheme for maximizing the modularity Q [Newman and Girvan, Phys. Rev. E <Emphasis Type="Bold">69, 026113 (2004)] based on mean field methods. Further, we have defined a simple family of random networks with community structure; we understand the behavior of...</emphasis>

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>

This paper compares three different types of “onset of chaos” in the logistic and generalized logistic map: the Feigenbaum attractor at the end of the period doubling bifurcations; the tangent bifurcation at the border of the period three window; the transition to chaos in the generalized...

Using the recent work of Hartelman, van der Maas, and Wagenmakers, we demonstrate the use of invariant stochastic catastrophe models in finance for modeling net flows (the difference between purchases and redemptions of fund shares) of U.S. mutual funds. We validate Goetzmann et al. and others'...

We investigate the accumulated wealth distribution by adopting evolutionary games taking place on scale-free networks. The system self-organizes to a critical Pareto distribution (1897) of wealth P(m)∼m<Superscript>-(v+1)</Superscript> with 1.6 v 2.0 (which is in agreement with that of U.S. or Japan). Particularly, the...</superscript>