Geometry Seminar
Lyapunov Spectra Beyond Coding
Speaker: Francisco Arana-Herrera (Rice University)Date: Wednesday, 18 November 2026 - 11:30Place: Aula Azul, ICMAT
Abstract:
Many important questions in dynamics can be reduced to the study of positivity or simplicity of Lyapunov exponents of a suitable cocycle over a suitably chaotic base. The most common approach in the literature is via coding, i.e., reduction to random matrix products induced by countable state Markov chains. In this talk we discuss a new approach to this problem that entirely bypasses coding. As a particular case, we apply our results to arbitrary SL(2,R) orbit closures of Abelian differentials, for which coding is not known to hold. This is joint work with DeWitt, Eskin, Gadre, Gutierrez-Romo, Lima, Matheus, Rafi, and Schleimer.
