48 citations · 122 across the 4 of their papers we have counts for
4 papers
Diffusion Processes on Power-Law Small-World Networks
Balázs Kozma, Matthew B. Hastings, G. Korniss
We consider diffusion processes on power-law small-world networks in different dimensions. In one dimension, we find a rich phase diagram, with different transient and recurrent ph…
Extreme Fluctuations in Small-Worlds with Relaxational Dynamics
H. Guclu, G. Korniss
We study the distribution and scaling of the extreme height fluctuations for Edwards-Wilkinson-type relaxation on small-world substrates. When random links are added to a one-dimen…
Testing the Collective Properties of Small-World Networks through Roughness Scaling
B. Kozma, M. B. Hastings, G. Korniss
Motivated by a fundamental synchronization problem in scalable parallel computing and by a recent criterion for ``mean-field'' synchronizability in interacting systems, we study th…
Stochastic Growth in a Small World
B. Kozma, G. Korniss
We considered the Edwards-Wilkinson model on a small-world network. We studied the finite-size behavior of the surface width by performing exact numerical diagonalization for the u…