publiée le 19 mai 2026
Finite capture and the closure of roots of restricted polynomials
De Bernat Espigule
Explosion of Lyapunov exponents using non-Archimedean geometry
Apparaît dans la 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.
