ArticleOriginal scientific text
Title
Most random walks on nilpotent groups are mixing
Authors 1
Affiliations
- Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Abstract
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.
Keywords
stochastic operator, convolution operator, random walk, norm completely mixing, nilpotent group
Bibliography
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Pages:
265-268
Main language of publication
English
Received
1991-11-15
Accepted
1992-05-20
Published
1992
Exact and natural sciences