most citedDiffusion Processes on Power-Law Small-World Networks

48 citations

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cond-mat.stat-mech2005★ 41 cited

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…

cond-mat.stat-mech2005★ 45 cited

Spatial Dynamics of Invasion: The Geometry of Introduced Species

G. Korniss, Thomas Caraco

Many exotic species combine low probability of establishment at each introduction with rapid population growth once introduction does succeed. To analyze this phenomenon, we note t…

cond-mat.stat-mech2005★ 48 cited

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…