137 citations · 737 across the 15 of their papers we have counts for
3 papers · 1 filter
Unified View of Scaling Laws for River Networks
Peter Sheridan Dodds, Daniel H. Rothman
Scaling laws that describe the structure of river networks are shown to follow from three simple assumptions. These assumptions are: (1) river networks are structurally self-simila…
Stochastic equation for the erosion of inclined topography
Romualdo Pastor-Satorras, Daniel H. Rothman
We present a stochastic equation to model the erosion of topography with fixed inclination. The inclination causes the erosion to be anisotropic. A zero-order consequence of the an…
Scaling of a slope: the erosion of tilted landscapes
Romualdo Pastor-Satorras, Daniel H. Rothman
We formulate a stochastic equation to model the erosion of a surface with fixed inclination. Because the inclination imposes a preferred direction for material transport, the probl…