Doubly stochastic operators with zero entropy
Dynamical Systems
2019-03-20 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1803.07882,
title = {Doubly stochastic operators with zero entropy},
author = {Bartosz Frej and Dawid Huczek},
journal= {arXiv preprint arXiv:1803.07882},
year = {2019}
}
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14 pages