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Simple Spectrum for Tensor Products of Mixing Map Powers
Tensor Products Mixing Map Powers Dynamical Systems
2011/9/20
Abstract: 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 existe...
On tensor products of weak mixing vector sequences and their applications to C*-dynamical systems
Uniform weak mixing weak mixing ergodicity
2010/11/29
We prove that, under certain conditions, uniform weak mixing (to zero)of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of ...