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math.DS2024
Birkhoff sum convergence of Fréchet observables to stable laws for Gibbs-Markov systems and applications
An Chen, Matthew Nicol, Andrew Török
We use a Poisson point process approach to prove distributional convergence to a stable law for non square-integrable observables , mostly of the form $ϕ(x) = d(x,x_…
math.DS2022
Stable laws for random dynamical systems
Romain Aimino, Matthew Nicol, Andrew Török
In this paper we consider random dynamical systems formed by concatenating maps acting on the unit interval in an iid fashion. Considered as a stationary Markov process, th…
math.DS2015★ 45 cited
Central limit theorems for sequential and random intermittent dynamical systems
Matthew Nicol, Andrew Török, Sandro Vaienti
We establish self-norming central limit theorems for non-stationary time series arising as observations on sequential maps possessing an indifferent fixed point. These transformati…