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math.DS2025
Wild dynamics on manifolds
Pierre Berger
We survey a few results on differentiable, symplectic, or analytic wild dynamics.
math.DS2024
Analytic pseudo-rotations II: a principle for spheres, disks and annuli
Pierre Berger
We construct analytic surface symplectomorphisms with unstable elliptic fixed points; this solves a problem of Birkhoff (1927). More precisely, we construct analytic symplectomorph…