Dimecres 3 d’abril se celebrarà una xerrada del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Conferenciant:   Anna Jové.
Universitat / Institut de recerca: Universitat de Barcelona (UB).

Data: Dimecres, 3 d’abril de 2024.
Hora: 13:00, pausa pel cafè; 13:20, xerrada.
Lloc: FMI (UB): TBA i Zoom.
Idioma: Anglès.

Títol: Pesin’s theory in a transcendental setting.

Resum: Roughly speaking, Pesin’s theory for $\mathbb{R}^n$ diffeomorphisms states that the asymptotical contraction or expansion around almost-every orbit is controlled by the Lyapunov exponents (as long as none of them is zero). For rational maps, this translates into well-defined generic inverse branches around almost-everywhere in the Julia set (Przytycki). In this talk, I will explain the previous statements, and I will discuss its possible generalizations to transcendental maps (Fagella-J.).