48 citations · 131 across the 5 of their papers we have counts for
5 papers
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…
Gradient Networks
Zoltan Toroczkai, Balazs Kozma, Kevin E. Bassler +2
We define gradient networks as directed graphs formed by local gradients of a scalar field distributed on the nodes of a substrate network G. We derive an exact expression for the…
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…