This study considers the effects of the 2008 global financial crisis on threshold networks of a local Korean financial market around the time of the crisis. Prices of individual stocks belonging to KOSPI 200 (Korea Composite Stock Price Index 200) are considered for three time periods, namely...

We consider the probability distribution function (pdf) and the multiscaling properties of the index and the traded volume in the Korean stock market. We observed the power law of the pdf at the fat tail region for the return, volatility, the traded volume, and changes of the traded volume. We...

We investigate multifractality in the Korean stock-market index KOSPI. The generalized qth order height–height correlation function shows multiscaling properties. There are two scaling regimes with a crossover time around tc=40min. We consider the original data sets and the modified data sets...

We report the quiet-time probability distribution of the absolute return in the Korean stock-market index. We define the quiet time as a time interval during the absolute return of the stock index that are above a threshold rc. Through an exponential bin plot, we observe that the quiet-time...

We studied two models of three-species two-particle diffusion-limited reactions with and without a drift. Model A involves annihilations A+B→0, B+C→0, and C+A→0 with hard-core interactions between like species, and assumes equal initial densities of the species. The density decays...

We consider the probability distribution function of the trading volume and the volume changes in the Korean stock market. The probability distribution function of the trading volume shows double peaks and follows a power law, P(V/〈V〉)∼(V/〈V〉)−α at the tail part of the distribution...

We consider the reversible random sequential adsorption of line segments on a one-dimensional lattice. Line segments of length l⩾2 adsorb on the lattice with a adsorption rate Ka, and leave with a desorption rate Kd. We calculate the coverage fraction, and steady-state jamming limits by a...

We have studied diffusion-limited reaction on a one-dimensional lattice under the quenched disorder using Monte Carlo simulations. The hopping probabilities at a site is distributed by the power law p(y)=νyν−1 with 0<ν⩽1 and 0<y⩽1. The density of the reactants decays according to a power law, C(t)∼t−α(ν) for A+A→0 and A+B→0 annihilation reaction. The exponent α(ν) depends on the disorder exponent ν. For A+A→0, we have found α(ν)=ν/(1+ν). For A+B→0, we have observed α=0.25 at ν>0.4 and α decreases monotonically for α<0.4.

We review recent developments in the study of the multifractal properties of dynamical processes in disordered systems. In particular, we discuss the multifractality of the growth probabilities of DLA clusters and of the probability density for random walks on random fractals. The results for...

We briefly review some recent attempts to achieve some genuine understanding of diffusion-limited aggregation (DLA), the paradigm model for dynamical mechanisms of disorderly growth processes. We shall see that the seminal ideas of Professor Cyril Domb have influenced to a great degree many of...