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A remark concerning random walks with random potentials. (English) Zbl 0835.60062
Random walks on a $$d$$-dimensional lattice are considered where each path has a random weight which is stationary and independent in space and time. It is shown that the arising probability distributions are uniformly absolutely continuous with respect to the usual distribution for symmetric random walks.

##### MSC:
 60G50 Sums of independent random variables; random walks 82B41 Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics
##### Keywords:
random potentials; random walks; symmetric random walks
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