Ergodic theorems for surfaces with minimal random weights
Tail estimates for homogenization theorems in random media
Consider a random environment in given by i.i.d. conductances. In this work, we obtain tail estimates for the fluctuations about the mean for the following characteristics of the environment: the effective conductance between opposite faces of a cube, the diffusion matrices of periodized environments and the spectral gap of the random walk in a finite cube.
Geodesics and recurrence of random walks in disordered systems.
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