Continuum pairwise disjoint automorphisms with Lebesgue spectrum
Dynamical Systems
2025-12-15 v2
Abstract
A continuous family of pairwise disjoint even factors of Gaussian suspensions for Sidon transformations is presented. These factors have the same Lebesgue spectrum, but different Kirillov-Kushnirenko entropy.
Cite
@article{arxiv.2508.06920,
title = {Continuum pairwise disjoint automorphisms with Lebesgue spectrum},
author = {Valery V. Ryzhikov},
journal= {arXiv preprint arXiv:2508.06920},
year = {2025}
}