Analytic uniquely ergodic volume preserving maps on odd spheres

TL;DR

This paper constructs explicit examples of real-analytic, volume-preserving, uniquely ergodic diffeomorphisms on odd-dimensional spheres, demonstrating minimal dynamical behavior.

Contribution

It provides the first known constructions of such uniquely ergodic maps on odd spheres with real-analytic regularity.

Findings

Existence of volume-preserving uniquely ergodic diffeomorphisms on odd spheres

Examples are real-analytic and minimal

Advances understanding of ergodic properties on manifolds

Abstract

We construct examples of volume-preserving uniquely ergodic (and hence minimal) real-analytic diffeomorphisms on odd-dimemsional spheres