# Einstein relation for random walk in a one-dimensional percolation model

27 Dec 2018 Gantert Nina Meiners Matthias Müller Sebastian

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 $\lambda > 0$, then its asymptotic linear speed $\overline{\mathrm{v}}$ is continuous in the variable $\lambda > 0$ and differentiable for all sufficiently small $\lambda > 0$... (read more)

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