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

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

Some links: | CV, Google Scholar, PhD thesis |

Numerics for statistical properties of chaotic systems

Diffusion maps

Wormell, C.L., On convergence of linear response formulae in some piecewise hyperbolic maps (2022). Preprint

Wormell, C.L., Non-hyperbolicity at large scales of a high-dimensional chaotic system. *Proceedings of the Royal Society B* **478** (2022) 20210808. Preprint, DOI

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

*Prediction from perfect partial observations and linear response*. Presentation at Modern Mathematics for Complex Systems, London (Jun 2022) Slides, video

*Conditional decay of correlations and linear response*. Presentation at Geometry of Deterministic and Random Fractals, Budapest (Jun 2022) Slides

*Diffusion maps and Sinkhorn balancing*. Seminar at Ergodic Theory and Dynamical Systems colloquium, Warwick University (Jun 2022).

*Fast and accurate computation of statistical properties of expanding maps*. Séminaire de théorie ergodique du LPSM, Paris (Mar 2022).

*Linear response in higher dimensions and mixing of Cantor sets*. Talk at AustMS 2021 (Dec 2021). Slides

*Applications of Chebyshev transfer operator methods*. Invited talk at Rencontre ANR Aléatoire, Dynamique et Spectre, Nantes (Nov 2021). Slides

*Linear response for piecewise hyperbolic maps and mixing of SRB measure cross-sections*. Seminar at Ergodic Theory and Dynamical Systems colloquium, Warwick University (Nov 2021).

*Linear response in high-dimensional globally coupled systems*. Online seminar for WG Climate & Statistical Mechanics, Université d'Orsay (Oct 2021).

*Non-hyperbolicity in large-scale dynamics of high-dimensional chaotic systems*. Online seminar for Queen Mary University of London Complex Systems seminar (Oct 2021).

*Operator convergence of diffusion maps and the bistochastic normalisation*. Talk at On Future Synergies for Stochastic and Learning Algorithms, CIRM Luminy (Sep 2021). Slides

*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, video

*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