4.2k citations · 9.8k across the 134 of their papers we have counts for
134 papers
Strongly-connected percolation on directed lattices
M. E. J. Newman, P. Grassberger, R. M. Ziff
We study percolation on lattices with directed bonds, focusing on the behavior of strongly-connected percolation clusters -- clusters in which every site is reachable from every ot…
Aftermath Epidemics: Percolation on the Sites Visited by Generalized Random Walks
Mohadeseh Feshanjerdi, Amir Ali Masoudi, Peter Grassberger +1
We study percolation on the sites of a finite lattice visited by a generalized random walk of finite length with periodic boundary conditions. More precisely, consider Levy flights…
Many universality classes in an interface model restricted to non-negative heights
Peter Grassberger, Deepak Dhar, P. K. Mohanty
We present a simple one dimensional stochastic model with three control parameters and a surprisingly rich zoo of phase transitions. At each (discrete) site and time , an in…
On Generalized Schürmann Entropy Estimators
Peter Grassberger
We present a new class of estimators of Shannon entropy for severely undersampled discrete distributions. It is based on a generalization of an estimator proposed by T. Schuermann,…
Kardar-Parisi-Zhang type dynamics with periodic tilt dependence of the propagation velocity in 1+1 dimensions
Peter Grassberger
We consider the evolution of interfaces with a diffusive term and a generalized Kardar-Parisi-Zhang (KPZ) non-linearity, which results in a propagation velocity that depends period…
Revisiting a Low-Dimensional Model with Short Range Interactions and Mean Field Critical Behavior
Peter Grassberger
In all local low-dimensional models, scaling at critical points deviates from mean field behavior -- with one possible exception. This exceptional model with ``ordinary" behavior i…