4.2k citations · 9.8k across the 134 of their papers we have counts for
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SIR epidemics with long range infection in one dimension
Peter Grassberger
We study epidemic processes with immunization on very large 1-dimensional lattices, where at least some of the infections are non-local, with rates decaying as power laws p(x) ~ x^…
Information theoretic aspects of the two-dimensional Ising model
Hon Wai Lau, Peter Grassberger
We present numerical results for various information theoretic properties of the square lattice Ising model. First, using a bond propagation algorithm, we find the difference $2H_L…
Randomness, Information, and Complexity
Peter Grassberger
We review possible measures of complexity which might in particular be applicable to situations where the complexity seems to arise spontaneously. We point out that not all of them…
Comment on "Dynamic Opinion Model and Invasion Percolation"
A. Sattari, M. Paczuski, P. Grassberger
In J. Shao et al., PRL 103, 108701 (2009) the authors claim that a model with majority rule coarsening exhibits in d=2 a percolation transition in the universality class of invasio…
Agglomerative Percolation on Bipartite Networks: A Novel Type of Spontaneous Symmetry Breaking
Hon Wai Lau, Maya Paczuski, Peter Grassberger
Ordinary bond percolation (OP) can be viewed as a process where clusters grow by joining them pairwise, by adding links chosen randomly one by one from a set of predefined `virtual…
Corrections to Scaling for Watersheds, Optimal Path Cracks, and Bridge Lines
E. Fehr, K. J. Schrenk, N. A. M. Araújo +4
We study the corrections to scaling for the mass of the watershed, the bridge line, and the optimal path crack in two and three dimensions. We disclose that these models have numer…
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…
PageRank and rank-reversal dependence on the damping factor
Seung-Woo Son, Claire Christensen, Peter Grassberger +1
PageRank (PR) is an algorithm originally developed by Google to evaluate the importance of web pages. Considering how deeply rooted Google's PR algorithm is to gathering relevant i…
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…