Analytic weakly mixing diffeomorphisms on odd dimensional spheres

TL;DR

This paper introduces a method to construct real-analytic weakly mixing diffeomorphisms on odd-dimensional spheres, expanding understanding of dynamical systems with complex mixing properties.

Contribution

It develops an approximation by conjugation scheme specifically for real-analytic diffeomorphisms on odd-dimensional spheres, demonstrating weak mixing behavior.

Findings

Constructed explicit examples of weakly mixing diffeomorphisms

Extended the class of known weakly mixing systems to odd-dimensional spheres

Provided a new technique for analyzing real-analytic dynamical systems

Abstract

We present an approximation by conjugation scheme to obtain real-analytic diffeomorphisms of odd dimensional spheres that are weakly mixing with respect to the volume.