Research on human online activities usually assumes that total activity T increases linearly with active population P , that is, T ∝ P (γ = 1). However, we find examples of systems where total activity grows faster than active population. Our study shows that the power law relationship T ∝ P (γ > 1) is in fact ubiquitous in online activities such as micro-blogging, news voting and photo tagging...

Berry-Robnik level spacing distribution is demonstrated clearly in a generic quantized plane billiard for the first time. However, this ultimate semiclassical distribution is found to be valid only for extremely small semi-classical parameter (effective Planck’s constant) where the assumption of statistical independence of regular and irregular levels is achieved. For sufficiently larger semicl...

In this Letter, we show that the explosive percolation is a novel continuous phase transition. The order-parameter-distribution histogram at the percolation threshold is studied in Erd˝ os-Rényi networks, scale-free networks, and square lattice. In finite system, two well-defined Gaussian-like peaks coexist, and the valley between the two peaks is suppressed with the system size increasing. Thi...

We introduce a new class of random graph models for complex realworld networks, based on the protean graph model by à Luczak and PraÃlat. Our generalized protean graph models have two distinguishing features. First, they are not growth models, but instead are based on the assumption that a “steady state” of large but finite size has been reached. Second, the models assume that the vertices are ...

We introduce a new class of random graph models for complex realworld networks, based on the protean graph model by à Luczak and PraÃlat. Our generalized protean graph models have two distinguishing features. First, they are not growth models, but instead are based on the assumption that a “steady state” of large but finite size has been reached. Second, the models assume that the vertices are ...

For ordinary (independent) percolation on a large class of lattices it is well-known that below the critical percolation parameter pc, the cluster size distribution has exponential decay, and that power-law behaviour of this distribution can only occur at pc. This behaviour is often called ‘sharpness of the percolation transition’. For theoretical reasons as well as motivated by applied researc...

The herd behavior of returns is investigated in Korean futures exchange market. It is obtained that the probability distribution of returns for three types of herding parameter scales as a power law R with the exponents β = 3.6(KTB203) and 2.9(KTB209) in two kinds of Korean treasury bond. For our case since the active state of transaction exists to decrease lesser than the herding parameter h =...

In the present study, two-phase nanofluid flow in a three-dimensional system is modeled over a stretching infinite solar plate and the heat transfer analysis is performed for this problem. The governing equations are presented based on previous studies and the suitable solution method is recommended due to infinite boundary condition in the problem. Keller Box Method (KBM) using the Maple 1...

This document describes numerical solutions to the 4-order moment equation for scintillation under strong scatter conditions. It is well known that scintillation depends on the parameters that describe the structure size distribution, and the Fresnel radius. However, in an unconstrained fixed power-law environment, the theory can be formulated in terms of a single parameter. In effect, differen...