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.
@article{bwmeta1.element.bwnjournal-article-apmv57z3p265bwm,
author = {R. R\k ebowski},
title = {Most random walks on nilpotent groups are mixing},
journal = {Annales Polonici Mathematici},
volume = {57},
year = {1992},
pages = {265-268},
zbl = {0784.47015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv57z3p265bwm}
}
R. Rębowski. Most random walks on nilpotent groups are mixing. Annales Polonici Mathematici, Tome 57 (1992) pp. 265-268. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv57z3p265bwm/
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