Two irrationally elliptic closed orbits of Reeb flows on the boundary of star-shaped domain in ${\mathbb{R}}^{2n}$

Xiaorui Li, Hui Liu, Wei Wang

There are two long-standing conjectures in Hamiltonian dynamics concerning Reeb flows on the boundaries of star-shaped domains in ${\mathbb{R}}^{2n}$ ($n\ge 2$). One conjecture sta…