Extremes and extremal indices for level set observables on hyperbolic systems

Meagan Carney, Mark Holland, Matthew Nicol

Consider an ergodic measure preserving dynamical system $(T,X,\mu )$, and an observable $\varphi :X\to \mathbb{R}$. For the time series $X_n(x)=\varphi (T^n(x))$, we establish limit laws for the m…