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arXiv · 2603.06053

Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk

Yann Delaporte
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Abstract

We construct analytic symplectomorphisms on the sphere, the disk and the cylinder which are minimally ergodic (only 3 ergodic measures). To achieve this, we apply and generalize a principle introduced by Berger, based on the Approximation by Conjugacy method of Anosov-Katok.

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Yann Delaporte. 2026-03-06. Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk. https://arxiv.org/abs/2603.06053

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