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Einstein Relation for Random Walk in a One-Dimensional Percolation Model

Einstein Relation for Random Walk in a One-Dimensional Percolation Model

We consider random walks on the infinite cluster of a conditional bond percolation model on the infinite ladder graph. In a companion paper, we have shown that if the random walk is pulled to the right by a positive bias $$\uplambda > 0$$ , then its asymptotic linear speed $$\overline{\mathrm …