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The ruin problem on a finite solvable group. (Russian) Zbl 0785.60006

Korolyuk, V. S. (ed.), Asymptotic and applied problems in the theory of random evolutions. Collection of scientific works. Kiev: Institut Matematiki AN USSR. 35-42 (1990).
Summary: An explicit expression has been obtained for the characteristic function of the time of attaining by a random walk an arbitrary subset of a finite solvable group from the direction of a fixed subset.
For the entire collection see [Zbl 0776.00013].

MSC:

60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
60G50 Sums of independent random variables; random walks