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
Wasserstein convergence rates in the invariance principle for nonuniformly hyperbolic flows
Ian Melbourne, Zhe Wang
We obtain -Wasserstein convergence rates in the invariance principle for nonuniformly hyperbolic flows, where depends on the degree of nonuniformity. Utilizing a marting…
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 .…