3 papers
math.DS2025
Superdiffusive central limit theorems for geodesic flows on nonpositively curved surfaces
Yuri Lima, Carlos Matheus, Ian Melbourne
We prove a nonstandard central limit theorem and weak invariance principle, with superdiffusive normalisation , for geodesic flows on a class of nonpositively curv…
math.DS2025
Nonstandard functional central limit theorem for nonuniformly hyperbolic dynamical systems, including Bunimovich stadia
Yuri Lima, Carlos Matheus, Ian Melbourne
We consider a class of nonuniformly hyperbolic dynamical systems with a first return time satisfying a central limit theorem (CLT) with nonstandard normalisation .…
math.DS2021
Polynomial decay of correlations for nonpositively curved surfaces
Yuri Lima, Carlos Matheus, Ian Melbourne
We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove t…