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math.DS2023
Polynomial rigidity and spectrum of Sidon automorphisms
Valery V. Ryzhikov
We present spectrally disjoint Sidon automorphisms whose tensor squares are isomorphic to a planar shift. Spectra of such automorphisms do not possess the group property. To check…
math.DS2023
Quasi-similarity, entropy and disjointness of ergodic systems
Valery V. Ryzhikov, Jean-Paul Thouvenot
Answering Vershik's question we show that quasi-similarity does not conserve the entropy, proving quasi-similarity of all Bernoulli actions of a countable infinite group. We prove…