01:03:10
published on June 11, 2026
On resurgence and summability of Andersen-Kashaev states integrals
By Veronica Fantini
![[1954] Sur les pseudo-rotations analytiques de surfaces](/media/cache/video_light/uploads/video/SeminaireBourbaki.png)
Explosion of Lyapunov exponents using non-Archimedean geometry
Appears in collection : $p$-adic analytic geometry and differential equations / Géométrie analytique et équations différentielles $p$-adiques
We consider a meromorphic family of endomorphisms of the complex projective space parameterized by the unit disk, and show that the blow-up of the Lyapunov exponent near the origin is controlled by a non-Archimedean quantity.
