8 papers
Reaction-diffusion processes of three species on small-world networks
Kyungsik Kim, K. H. Chang, M. -K. Yum +2
We study the decay process for the reaction-diffusion process of three species on the small-world network. The decay process is manipulated from the deterministic rate equation of…
Financial Networks in the Korean Stock Exchange Market
Seong-Min Yoon, Kyungsik Kim
We investigate the financial network in the Korean stock exchange (KSE) market, using both numerical simulations and scaling arguments. We estimate the cross-correlation on the sto…
Multifractal Measures on Small-World Networks
Kyungsik Kim, K. H. Chang, S. M. Yoon +2
We investigate the multifractals of the normalized first passage time on one-dimensional small-world network with both reflecting and absorbing barriers. The multifractals is estim…
Anomalous Behaviors in Fractional Fokker-Planck Equation
Kyungsik Kim, Y. S. Kong
We introduce a fractional Fokker-Planck equation with a temporal power-law dependence on the drift force fields. For this case, the moments of the tracer from the force-force corre…
Fractional Dynamical Behavior in Quantum Brownian Motion
Kyungsik Kim, Y. S. Kong, M. K. Yum +1
The dynamical behavior for a quantum Brownian particle is investigated under a random potential of the fractional iterative map on a one-dimensional lattice. For our case, the quan…
Multifractal Measures in Iterative Maps
Kyungsik Kim, B. O. Shim, Y. S. Kong +2
We investigate chaotic and multi-fractal properties of a two parameter map of the unit interval onto itself -- the Kim-Kong map. These results are compared with similar properties…