50 citations · 96 across the 9 of their papers we have counts for
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cond-mat.dis-nn2013★ 4 cited
Biased and greedy random walks on two-dimensional lattices with quenched randomness: the "greedy" ant within a disordered environment
T. L. Mitran, O. Melchert, A. K. Hartmann
The principle characteristics of biased greedy random walks (BGRWs) on two-dimensional lattices with real-valued quenched disorder on the lattice edges are studied. Here, the disor…
cond-mat.dis-nn2013★ 11 cited
Typical and large-deviation properties of minimum-energy paths on disordered hierarchical lattices
O. Melchert, A. K. Hartmann
We perform numerical simulations to study the optimal path problem on disordered hierarchical graphs with effective dimension d=2.32. Therein, edge energies are drawn from a disord…