5 papers
Distribution of extremes in the fluctuations of two-dimensional equilibrium interfaces
Deok-Sun Lee
We investigate the statistics of the maximal fluctuation of two-dimensional Gaussian interfaces. Its relation to the entropic repulsion between rigid walls and a confined interface…
Synchronization transition in scale-free networks: Clusters of synchrony
Deok-Sun Lee
We study the synchronization transition in scale-free networks that display power-law asymptotic behaviors in their degree distributions. The critical coupling strength and the ord…
Evolution of scale-free random graphs: Potts model formulation
D. -S. Lee, K. -I. Goh, B. Kahng +1
We study the bond percolation problem in random graphs of weighted vertices, where each vertex has a prescribed weight and an edge can connect vertices and wi…
Sandpile avalanche dynamics on scale-free networks
D. -S. Lee, K. -I. Goh, B. Kahng +1
Avalanche dynamics is an indispensable feature of complex systems. Here we study the self-organized critical dynamics of avalanches on scale-free networks with degree exponent …
Sandpile on Scale-Free Networks
K. -I. Goh, D. -S. Lee, B. Kahng +1
We investigate the avalanche dynamics of the Bak-Tang-Wiesenfeld (BTW) sandpile model on scale-free (SF) networks, where threshold height of each node is distributed heterogeneousl…