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A survey is given on asymptotic diffusion coefficients of particles inlattices with random transition rates. Exact and approximate results for singleparticles are reviewed. A recent exact expression in $d = 1$ which includesoccupation factors is discussed. The utilization of the result is demonstratedfor the Miller-Abrahams model and a model of random barriers combined withrandom traps. Exact and approximate results for the site-exclusion model indisordered lattices are also given.

Diffusion Coefficients of Single and Many Particles in Lattices with Different Forms of Disorder