Geodesic
Special weak limits and simple spectrum of the
Sbornik. Mathematics, Tome 209 (2018) no. 5, pp. 660-671 Cet article a éte moissonné depuis la source Math-Net.Ru

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An example of a measure-preserving flow $T_t$ for which the tensor product $T_t\otimes T_{\alpha t}$ has simple spectrum for all $\alpha > 1$ is constructed. The construction of the flow uses asymptotically infinitesimal spacers and spacers obtained using results in finite field theory. For the spectral measure $\sigma$ of a flow of this type, any nonorthogonal projection of the measure $\sigma\times\sigma$ onto the diagonal in $\mathbb R\times \mathbb R$ is a 1-1 mapping $(\operatorname{mod} 0)$ with respect to the measure $\sigma\times\sigma$. Bibliography: 12 titles.
Keywords: ergodic flow, lacunar rigidity, Galois fields, special weak limits, simple spectrum, tensor product. 
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M. S. Lobanov; V. V. Ryzhikov. Special weak limits and simple spectrum of the. Sbornik. Mathematics, Tome 209 (2018) no. 5, pp. 660-671. http://geodesic.mathdoc.fr/item/SM_2018_209_5_a2/

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