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Geodesics and Recurrence of Random Walks in Disordered Systems
Random environment with stationary conductances Geodesicsin in first-passage percolation model Recurrence and transience
2009/4/29
In a first-passage percolation model on the square lattice $Z^2$, if the passage times are independent then the number of geodesics is either $0$ or $+infty$. If the passage times are stationary, ergo...