Continuum pairwise disjoint automorphisms with Lebesgue spectrum

Valery V. Ryzhikov

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arXiv · 2508.06920

Continuum pairwise disjoint automorphisms with Lebesgue spectrum

Valery V. Ryzhikov

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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.

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Valery V. Ryzhikov. 2025-08-09. Continuum pairwise disjoint automorphisms with Lebesgue spectrum. https://arxiv.org/abs/2508.06920

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