106 citations · 143 across the 3 of their papers we have counts for
8 papers
Discontinuous Percolation Transitions in Epidemic Processes, Surface Depinning in Random Media and Hamiltonian Random Graphs
Golnoosh Bizhani, Maya Paczuski, Peter Grassberger
Discontinuous percolation transitions and the associated tricritical points are manifest in a wide range of both equilibrium and non-equilibrium cooperative phenomena. To demonstra…
Sampling properties of directed networks
Seung-Woo Son, Claire Christensen, Golnoosh Bizhani +3
For many real-world networks only a small "sampled" version of the original network may be investigated; those results are then used to draw conclusions about the actual system. Va…
Percolation Theory on Interdependent Networks Based on Epidemic Spreading
Seung-Woo Son, Golnoosh Bizhani, Claire Christensen +2
We consider percolation on interdependent locally treelike networks, recently introduced by Buldyrev et al., Nature 464, 1025 (2010), and demonstrate that the problem can be simpli…
Random Sequential Renormalization and Agglomerative Percolation in Networks: Application to Erd"os-R'enyi and Scale-free Graphs
Golnoosh Bizhani, Peter Grassberger, Maya Paczuski
We study the statistical behavior under random sequential renormalization(RSR) of several network models including Erd"os R'enyi (ER) graphs, scale-free networks and an annealed mo…
Exact solutions for mass-dependent irreversible aggregations
Seung-Woo Son, Claire Christensen, Golnoosh Bizhani +2
We consider the mass-dependent aggregation process (k+1)X -> X, given a fixed number of unit mass particles in the initial state. One cluster is chosen proportional to its mass and…
Explosive Percolation is Continuous, but with Unusual Finite Size Behavior
Peter Grassberger, Claire Christensen, Golnoosh Bizhani +2
We study four Achlioptas type processes with "explosive" percolation transitions. All transitions are clearly continuous, but their finite size scaling functions are not entire hol…