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146 papers · 1 filter
Analytic symplectomorphisms displaying minimal ergodicity on the sphere, cylinder and disk
Yann Delaporte
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…
A flower theorem in
Kémo Morvan
We prove an analog of the flower theorem for non-degenerate reduced tangent to the identity germs that fix the coordinate hyperspaces in any dimension.
Almost reducibility, distortion and local perfection for diffeomorphisms of one-manifolds
Hélène Eynard-Bontemps, Emmanuel Militon
In this article, we characterize the distortion elements of the group of smooth diffeomorphisms of the circle and of the group of compactly supported smooth diffeomorphisms of the…
Analytic pseudo-rotations displaying ergodicity or emergence on the sphere and disk
Yann Delaporte
We construct analytic pseudo-rotations on the sphere and the disk with specific properties. We obtain analytic pseudo-rotations which are ergodic. Then, in opposition to ergodicity…
On Kolmogorov-typical properties of symplectic dynamics
Pierre Berger, Dmitry Turaev
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, h…
On the Equilibrium Locus of a Parameterized Dynamical System with Independent First Integrals
Yirmeyahu Kaminski, Pierre Lochak
For a family of dynamical systems with independent first integrals evolving in a compact region of an Euclidean space, we study the equilibrium locus. We show that under mi…