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 
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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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