BibSonomy publications for /user/andreab/erosionThu Dec 21 18:33:55 CET 2006Physical Review Letters234522-4525Sculpting of a Fractal River Basin781997model statistical erosion rivernetworks network river physics theory The principle of reparametrization invariance is used to derive a dynamical equation for the erosion of the landscape of the drainage basin of river networks. The stationary solutions of the equation are found to have scaling behavior that is consistent with observational data. Our analytic prediction of the main stream profile is confirmed by numerical results and is amenable to direct observational verification.Tue Oct 17 20:17:55 CEST 2006Physical Review Letters9098501Self-Stabilized Fractality of Seacoasts through Damped Erosion932004physics coastal stochastic 2004 percolation myown model erosion cnrbest5 etching coastline prl Erosion of rocky coasts spontaneously creates irregular seashores. But the geometrical irregularity, in turn, damps the sea waves, decreasing the average wave amplitude. There may then exist a mutual self-stabilization of the wave amplitude together with the irregular morphology of the coast. A simple model of such stabilization is studied. It leads, through a complex dynamics of the earth-sea interface, to the appearance of a stationary fractal seacoast with a dimension close to 4=3. Fractal geometry here plays the role of a morphological attractor directly related to percolation geometry.