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

__Forthcoming:__ mini-course at Statistical and Computational Aspects of Dynamical Systems, Pisa (13-16 Dec 2022)

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Prediction from perfect partial observations and linear response. Presentation at Modern Mathematics for Complex Systems, London (Jun 2022) Slides, video
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Conditional decay of correlations and linear response. Presentation at Geometry of Deterministic and Random Fractals, Budapest (Jun 2022) Slides
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Diffusion maps and Sinkhorn balancing. Seminar at Ergodic Theory and Dynamical Systems colloquium, Warwick University (Jun 2022).
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Fast and accurate computation of statistical properties of expanding maps. Séminaire de théorie ergodique du LPSM, Paris (Mar 2022).
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Linear response in higher dimensions and mixing of Cantor sets. Talk at AustMS 2021 (Dec 2021). Slides
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Applications of Chebyshev transfer operator methods. Invited talk at Rencontre ANR Aléatoire, Dynamique et Spectre, Nantes (Nov 2021). Slides
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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).
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Linear response in high-dimensional globally coupled systems. Online seminar for WG Climate & Statistical Mechanics, Université d'Orsay (Oct 2021).
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Non-hyperbolicity in large-scale dynamics of high-dimensional chaotic systems. Online seminar for Queen Mary University of London Complex Systems seminar (Oct 2021).
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Operator convergence of diffusion maps and the bistochastic normalisation. Talk at On Future Synergies for Stochastic and Learning Algorithms, CIRM Luminy (Sep 2021). Slides
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Macroscopic dynamics of globally coupled systems. Talk at Second Workshop on Wild Dynamics, São Miguel, Azores, Portugal (Sep 2021). Slides
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Emergence and breakdown of linear response in globally coupled systems. Talk at International Conference on Mathematical Physics, Geneva (Aug 2021). Slides, video
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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).
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Operator convergence of diffusion maps and the bistochastic normalisation. Talk at SIAM Conference on Applications of Dynamical Systems, online (May 2021). Slides
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Linear response in high-dimensional globally coupled chaotic dynamics. Seminar at Courant Networks and Dynamical Systems, online (Apr 2021).
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Rigorously validated estimation of statistical properties of expanding
maps. Talk at AMS Spring Southeastern Sectional Meeting, online (Mar 2021).
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Linear response in high-dimensional globally coupled systems. Invited talk at Linear Response: Rigorous Results and Applications, online (Jan 2021). Slides, video
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Rigorously validated estimation of statistical properties of expanding maps. Seminar at CRM-CAMP, online (Aug 2020). Slides
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Spectral convergence of diffusion maps. Seminar at Sydney Dynamics Group, online (Jun 2020). Slides
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Spectral Galerkin transfer operator methods in uniformly-expanding dynamics. Seminar at Georgia Tech CDSNS Colloquium, online (Jun 2020). Slides
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Linear response for macroscopic observables in high-dimensional systems.
Invited talk at Multiscale Methods for Deterministic and Stochastic Dynamics, Geneva (Jan 2020). Slides
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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
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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
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Linear response for macroscopic observables in complex chaotic systems.
Seminar at Sydney Dynamics Group (Sep 2019).
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Spectral Galerkin transfer operator methods in uniformly-expanding dynamics.
Invited talk at
Thermodynamic Formalism: Ergodic Theory and Validated Numerics, CIRM Luminy (Jul 2019). Slides
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Mesh-free solving of nonlinear PDEs via forward-backward SDEs.
Talk at ANZIAM (Feb 2019).
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Validity of linear response theory in high-dimensional deterministic dynamical systems.
Seminar at University of Potsdam (Dec 2018).
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Chebyshev Galerkin methods for transfer operators in uniformly-expanding dynamics.
Seminar at Centro di Giorgi, Pisa (Nov 2018).
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Rigorous and accurate numerical computation for intermittent maps.
Talk at Dynamics Days Europe (Sep 2018).
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Tight coupling bounds on decay of correlations in Markovian uniformly expanding dynamics.
Seminar at Sydney Dynamics Group (Jul 2018).
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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
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