Explicit Infinite Mixing Automorphisms with Simple Spectra of Symmetric Squares
Dynamical Systems
2026-03-17 v1
Abstract
We present mixing ergodic automorphisms of a space with sigma-finite measure whose symmetric tensor squares have simple spectra. This property is of interest in connection with dynamical spectral problems of A.N. Kolmogorov and V.A. Rokhlin. Explicit examples are given in the class of near-Sidon constructions.
Keywords
Cite
@article{arxiv.2603.14930,
title = {Explicit Infinite Mixing Automorphisms with Simple Spectra of Symmetric Squares},
author = {Sofia V. Vereshchagina and Valery V. Ryzhikov},
journal= {arXiv preprint arXiv:2603.14930},
year = {2026}
}