Most random walks on nilpotent groups are mixing
Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 265-268
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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
Affiliations des auteurs :
R. Rębowski 1
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author = {R. R\k{e}bowski},
title = {Most random walks on nilpotent groups are mixing},
journal = {Annales Polonici Mathematici},
pages = {265--268},
publisher = {mathdoc},
volume = {57},
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year = {1992},
doi = {10.4064/ap-57-3-265-268},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-57-3-265-268/}
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TY - JOUR AU - R. Rębowski TI - Most random walks on nilpotent groups are mixing JO - Annales Polonici Mathematici PY - 1992 SP - 265 EP - 268 VL - 57 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-57-3-265-268/ DO - 10.4064/ap-57-3-265-268 LA - en ID - 10_4064_ap_57_3_265_268 ER -
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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