Caroline Wormell

Caroline Wormell in Queyras region, France Postdoctoral researcher at Laboratoire de Probabilités, Statistique et Modélisation, Sorbonne Université, Paris.

Part of ERC research group SOS, led by Viviane Baladi.

Office: Room 25-26.129, Jussieu
Email: w****ll@lpsm.paris


Research interests

Linear response theory

Numerics for statistical properties of chaotic systems

Diffusion maps

Publications and preprints

Wormell, C.L., Non-hyperbolicity in large-scale dynamics of a chaotic system (2021). Preprint

Wormell, C.L., Efficient computation of statistical properties of intermittent dynamics (2021). Preprint

Wormell, C.L. and Reich, S., Spectral convergence of diffusion maps: improved error bounds and an alternative normalisation. SIAM Journal of Numerical Analysis 59(3) (2021) 1687–1734. Preprint, DOI

Wormell, C.L. and Gottwald, G.A., Linear response for macroscopic observables in high-dimensional systems. Chaos 29(11) (2019) 113127. Preprint, DOI

Wormell, C.L., Spectral Galerkin methods for transfer operators in uniformly expanding dynamics. Numerische Mathematik 14 (2019) 421–463. Preprint, DOI

Wormell, C.L. and Gottwald, G.A., On the validity of linear response theory in high-dimensional deterministic dynamical systems. Journal of Statistical Physics 172(6) (2018) 1479–1498. Preprint, DOI

Gottwald, G.A., Wormell, C.L., and Wouters, J., On spurious detection of linear response and misuse of the fluctuation-dissipation theorem in finite time series. Physica D 331 (2016) 89–101. Preprint, DOI

Computer packages

Poltergeist.jl: Julia package for adaptive calculation of statistical properties of 1D maps via spectral methods.

Recent talks

Macroscopic dynamics of globally coupled systems. Talk at Second Workshop on Wild Dynamics, São Miguel, Azores, Portugal (Sep 2021). Slides

Emergence and breakdown of linear response in globally coupled systems. Talk at International Conference on Mathematical Physics, Geneva (Aug 2021). Slides

Linear response for the Lozi map and mixing of SRB measure cross-sections. Talk at École d'été finistérienne en systèmes dynamiques, Brest (Jun 2021).

Operator convergence of diffusion maps and the bistochastic normalisation. Talk at SIAM Conference on Applications of Dynamical Systems, online (May 2021). Slides

Linear response in high-dimensional globally coupled chaotic dynamics. Seminar at Courant Networks and Dynamical Systems, online (Apr 2021).

Rigorously validated estimation of statistical properties of expanding maps. Talk at AMS Spring Southeastern Sectional Meeting, online (Mar 2021).

Linear response in high-dimensional globally coupled systems. Invited talk at Linear Response: Rigorous Results and Applications, online (Jan 2021). Slides, video

Rigorously validated estimation of statistical properties of expanding maps. Seminar at CRM-CAMP, online (Aug 2020). Slides

Spectral convergence of diffusion maps. Seminar at Sydney Dynamics Group, online (Jun 2020). Slides

Spectral Galerkin transfer operator methods in uniformly-expanding dynamics. Seminar at Georgia Tech CDSNS Colloquium, online (Jun 2020). Slides

Linear response for macroscopic observables in high-dimensional systems. Invited talk at Multiscale Methods for Deterministic and Stochastic Dynamics, Geneva (Jan 2020). Slides

Linear response for macroscopic observables in high-dimensional systems. Invited talk at Response theory and its applications in geophysical fluid dynamics, Institut Henri Poincaré (Oct 2019). Slides

Emergence of linear response at macroscopic scales. Poster at Nonlinear and stochastic methods in climate and geophysical fluid dynamics, Institut Henri Poincaré (Oct 2019). Poster

Linear response for macroscopic observables in complex chaotic systems. Seminar at Sydney Dynamics Group (Sep 2019).

Spectral Galerkin transfer operator methods in uniformly-expanding dynamics. Invited talk at Thermodynamic Formalism: Ergodic Theory and Validated Numerics, CIRM Luminy (Jul 2019). Slides

Mesh-free solving of nonlinear PDEs via forward-backward SDEs. Talk at ANZIAM (Feb 2019).

Validity of linear response theory in high-dimensional deterministic dynamical systems. Seminar at University of Potsdam (Dec 2018).

Chebyshev Galerkin methods for transfer operators in uniformly-expanding dynamics. Seminar at Centro di Giorgi, Pisa (Nov 2018).

Rigorous and accurate numerical computation for intermittent maps. Talk at Dynamics Days Europe (Sep 2018).

Tight coupling bounds on decay of correlations in Markovian uniformly expanding dynamics. Seminar at Sydney Dynamics Group (Jul 2018).

On spurious detection of linear response in chaotic systems with finite time series. Talk at Emerging Aspirations in Complex Systems Mini-Workshop (Oct 2017). Slides