147 citations · 706 across the 20 of their papers we have counts for
4 papers · 1 filter
Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition
K. J. Schrenk, A. Felder, S. Deflorin +3
The BFW model introduced by Bohman, Frieze, and Wormald [Random Struct. Algorithms, 25, 432 (2004)] and recently investigated in the framework of discontinuous percolation by Chen…
Gaussian model of explosive percolation in three and higher dimensions
K. J. Schrenk, N. A. M. Araújo, H. J. Herrmann
The Gaussian model of discontinuous percolation, recently introduced by Araújo and Herrmann [Phys. Rev. Lett., 105, 035701 (2010)], is numerically investigated in three dimensions,…
Fracturing ranked surfaces
K. J. Schrenk, N. A. M. Araujo, J. S. Andrade +1
Discretized landscapes can be mapped onto ranked surfaces, where every element (site or bond) has a unique rank associated with its corresponding relative height. By sequentially a…
Optimal path cracks in correlated and uncorrelated lattices
E. A. Oliveira, K. J. Schrenk, N. A. M. Araújo +2
The optimal path crack model on uncorrelated surfaces, recently introduced by Andrade et al. (Phys. Rev. Lett. 103, 225503, 2009), is studied in detail and its main percolation exp…