Geodesic
Most random walks on nilpotent groups are mixing
Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 265-268

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Let G be a second countable locally compact nilpotent group. It is shown that for every norm completely mixing (n.c.m.) random walk μ, αμ + (1-α)ν is n.c.m. for 0 α ≤ 1, ν ∈ P(G). In particular, a generic stochastic convolution operator on G is n.c.m.
DOI : 10.4064/ap-57-3-265-268
Keywords: stochastic operator, convolution operator, random walk, norm completely mixing, nilpotent group 
R. Rębowski. Most random walks on nilpotent groups are mixing. Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 265-268. doi: 10.4064/ap-57-3-265-268
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