4 papers
Scaling of optimal-path-lengths distribution in complex networks
Tomer Kalisk, Lidia A. Braunstein, Sergey V. Buldyrev +2
We study the distribution of optimal path lengths in random graphs with random weights associated with each link (``disorder''). With each link we associate a weight $τ_i = \ex…
Optimal Paths in Disordered Complex Networks
Lidia A. Braunstein, Sergey V. Buldyrev, Reuven Cohen +2
We study the optimal distance in networks, , defined as the length of the path minimizing the total weight, in the presence of disorder. Disorder is introdu…
A review of growing interfaces in quenched disordered media
L. A. Braunstein, R. C. Buceta, A. Diaz-Sanchez +1
We make a review of the two principal models that allows to explain the imbibition of fluid in porous media. These models, that belong to the directed percolation depinning (DPD) u…
Does the Quenched Kardar-Parisi-Zhang Equation Describe the Directed Percolation Depinning Models?
A. Diaz-Sanchez, L. A. Braunstein, R. C. Buceta
The roughening of interfaces moving in inhomogeneous media is investigated by numerical integration of the phenomenological stochastic differential equation proposed by Kardar, Par…