3 papers
math.DS2021
Efficient computation of statistical properties of intermittent dynamics
Caroline L. Wormell
Intermittent maps of the interval are simple and widely-studied models for chaos with slow mixing rates, but have been notoriously resistant to numerical study. In this paper we pr…
math.ST2020
Spectral convergence of diffusion maps: improved error bounds and an alternative normalisation
Caroline L. Wormell, Sebastian Reich
Diffusion maps is a manifold learning algorithm widely used for dimensionality reduction. Using a sample from a distribution, it approximates the eigenvalues and eigenfunctions of…
math.DS2019
Linear response for macroscopic observables in high-dimensional systems
Caroline L. Wormell, Georg A. Gottwald
The long-term average response of observables of chaotic systems to dynamical perturbations can often be predicted using linear response theory, but not all chaotic systems possess…