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MR931055 60J15 (60B15 60F15)
Kaĭmanovich, V. A. Boundaries of random walks on polycyclic groups and the law of large numbers for solvable Lie groups. (Russian) Vestnik Leningrad. Univ. Mat. Mekh. Astronom. 1987, vyp. 4, 93–95, 112.
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