4 problems

Interpolation conjecture. For each $s\in[0,1]$, the ray $\{u_t^s\}$ is also approximable.

Let $E^N$ be the configuration space of the Newtonian $N$-body problem, let $\gamma$ be the geodesic ray constructed in the preceding proof, and let $\{a_n\}$ be the bounded sequen…

Let $\Phi$ be a maximal geodesic ray, with non-Archimedean limit $\Phi_{\rm NA}$, and let ${\bf H}'^\infty(\Phi)$ and ${\bf H}^{\rm NA}(\Phi_{\rm NA})$ denote respectively the asym…

Let $(X,L)$ be a polarized manifold, let ${\bf H}'^\infty(\Phi)$ denote the asymptotic slope of the entropy along a maximal geodesic ray $\Phi$, and let ${\bf H}^{\rm NA}$ be the n…