147 citations · 706 across the 20 of their papers we have counts for
4 papers · 1 filter
Watersheds in disordered media
N. A. M. Araújo, K. J. Schrenk, H. J. Herrmann +1
What is the best way to divide a rugged landscape? Since ancient times, watersheds separating adjacent water systems that flow, for example, toward different seas, have been used t…
Recent advances and open challenges in percolation
N. A. M. Araújo, P. Grassberger, B. Kahng +2
Percolation is the paradigm for random connectivity and has been one of the most applied statistical models. With simple geometrical rules a transition is obtained which is related…
Retention capacity of correlated surfaces
K. J. Schrenk, N. A. M. Araujo, R. M. Ziff +1
We extend the water retention model [C. L. Knecht et al., Phys. Rev. Lett. 108, 045703 (2012)] to correlated random surfaces. We find that the retention capacity of discrete random…
Shortest path and Schramm-Loewner Evolution
N. Posé, K. J. Schrenk, N. A. M. Araújo +1
We numerically show that the statistical properties of the shortest path on critical percolation clusters are consistent with the ones predicted for Schramm-Loewner evolution (SLE)…