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arXiv · 1803.07882

Doubly stochastic operators with zero entropy

Bartosz Frej·Dawid Huczek
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Abstract

We study doubly stochastic operators with zero entropy. We generalize three famous theorems: the Rokhlin's theorem on genericity of zero entropy, the Kushnirenko's theorem on equivalence of discrete spectrum and nullity and the Halmos-von Neumann's theorem on representation of maps with discrete spectrum as group rotations.

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Bartosz Frej, Dawid Huczek. 2018-03-21. Doubly stochastic operators with zero entropy. https://doi.org/10.1215/20088752-2018-0015

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