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arXiv · 2507.11375

On Kolmogorov-typical properties of symplectic dynamics

Pierre Berger·Dmitry Turaev
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Abstract

We propose a general framework, within which we prove that several properties, such as the fast growth of the number of periodic points, the universality, and the high emergence, hold true for every parameter value for a generic finite-parameter family of symplectic diffeomorphisms displaying an elliptic point.

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Pierre Berger, Dmitry Turaev. 2025-07-15. On Kolmogorov-typical properties of symplectic dynamics. https://arxiv.org/abs/2507.11375

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