Facteurs disjoints des transformations melangeantes

TL;DR

This paper proves that non-mixing automorphisms of standard probability spaces possess a factor that is disjoint from all mixing automorphisms, revealing a fundamental structural distinction.

Contribution

It establishes the existence of disjoint factors for non-mixing automorphisms, advancing understanding of their structural properties.

Findings

Non-mixing automorphisms have disjoint factors from all mixing automorphisms.

The result clarifies the structural differences between mixing and non-mixing automorphisms.

Provides a new perspective on the classification of automorphisms in ergodic theory.

Abstract

We show that any non-mixing automorphism of a standard probability space has a factor disjoint from all mixing automorphism.