8 citations · 9 across the 2 of their papers we have counts for
2 papers
math.DS2018★ 1 cited
A functional stable limit theorem for Gibbs-Markov maps
David Kocheim, Fabian Pühringer, Roland Zweimüller
For a class of locally (but not necessarily uniformly) Lipschitz continuous -dimensional observables over a Gibbs-Markov system, we show that convergence of (suitably normalized…
math.DS2013★ 8 cited
Weak Convergence to Stable Lévy Processes for Nonuniformly Hyperbolic Dynamical Systems
Ian Melbourne, Roland Zweimüller
We consider weak invariance principles (functional limit theorems) in the domain of a stable law. A general result is obtained on lifting such limit laws from an induced dynamical…