Analytic uniquely ergodic volume preserving maps on odd spheres

Bassam Fayad
Université Paris Diderot-Université Pierre et Marie Curie, France
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Anatole Katok
The Pennsylvania State University, University Park, USA
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Abstract

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

Bassam Fayad, Anatole Katok, Analytic uniquely ergodic volume preserving maps on odd spheres. Comment. Math. Helv. 89 (2014), no. 4, pp. 963–977