On Kolmogorov-typical properties of symplectic dynamics
Dynamical Systems
2025-07-16 v1 Symplectic Geometry
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.
Cite
@article{arxiv.2507.11375,
title = {On Kolmogorov-typical properties of symplectic dynamics},
author = {Pierre Berger and Dmitry Turaev},
journal= {arXiv preprint arXiv:2507.11375},
year = {2025}
}