We establish self-norming central limit theorems for non-stationary time series arising as
observations on sequential maps possessing an indifferent fixed point. These …

We study nonstationary intermittent dynamical systems, such as compositions of a
(deterministic) sequence of Pomeau–Manneville maps. We prove two main results: sharp …

We construct Birkhoff cones for dispersing billiards, which are contracted by the action of the
transfer operator. This construction permits the study of statistical properties not only of …

We study an intermittent quasistatic dynamical system composed of nonuniformly hyperbolic
Pomeau–Manneville maps with time-dependent parameters. We prove an ergodic theorem …

In the setting of intermittent Pomeau–Manneville maps with time dependent parameters, we
show a functional correlation bound widely useful for the analysis of the statistical properties …

We construct Birkhoff cones for dispersing billiards, which are contracted by the action of the
transfer operator. This construction permits the study of statistical properties not only of …

Assume that (X, f) is a dynamical system and φ: X→−∞,∞) is a potential such that the f-
invariant measure μ φ equivalent to the φ-conformal measure is infinite, but that there is an …

Recently, there has been an increasing interest in non-autonomous composition of
perturbed hyperbolic systems: composing perturbations of a given hyperbolic map …

We consider time-dependent dynamical systems arising as sequential compositions of self-
maps of a probability space. We establish conditions under which the Birkhoff sums for …

We study dynamical systems arising as time-dependent compositions of Pomeau-
Manneville-type intermittent maps. We establish central limit theorems for appropriately …