182 citations · 388 across the 10 of their papers we have counts for
5 papers · 1 filter
Diffusion Processes on Small-World Networks with Distance-Dependent Random-Links
Balazs Kozma, Matthew B. Hastings, G. Korniss
We considered diffusion-driven processes on small-world networks with distance-dependent random links. The study of diffusion on such networks is motivated by transport on randomly…
Scaling in Small-World Resistor Networks
G. Korniss, M. B. Hastings, K. E. Bassler +3
We study the effective resistance of small-world resistor networks. Utilizing recent analytic results for the propagator of the Edwards-Wilkinson process on small-world networks, w…
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…
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…