Continuum pairwise disjoint automorphisms with Lebesgue spectrum

2025/08/09 by Ryzhikov, Valery V.
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.06920

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.

Citations

• Spectra and joint dynamics of Poisson suspensions for rank-one automorphisms
• Polynomial rigidity and spectrum of Sidon automorphisms

Related

• Gaussian factors, spectra, and P-entropy
• Polynomial rigidity and spectrum of Sidon automorphisms
• A smooth Gaussian-Kronecker diffeomorphism
• Extended Kolmogorov Entropy
• Spectra and joint dynamics of Poisson suspensions for rank-one automorphisms