Mathematics – Dynamical Systems
Scientific paper
2011-07-24
Mathematics
Dynamical Systems
7 pages
Scientific paper
We prove the existence of a mixing rank one map $T$ such that the product
$T\otimes T^2\otimes T^3\otimes...$ has simple spectrum. This result is used in
S.V. Thikhonov's proof of the existence of mixing transformation with
homogeneous spectrum of multiplicity $m>2$.
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