In December 2020 I will begin as a postdoc under Viviane Baladi at LPSM, Paris.

Postal address: |
Ms Caroline Wormell School of Mathematics and Statistics F07 University of Sydney NSW 2006 Australia |
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Email: | caroline.w****ll@sydney.edu.au |

Numerics for statistical properties of chaotic systems

Diffusion maps

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

Wormell, C.L., Spectral Galerkin methods for transfer operators in uniformly expanding dynamics. *Numerische Mathematik* **142** (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** (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

*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

*Macroscopic non-hyperbolicity in chaotic dynamics.*
Poster at SDG Margaret River, WA (Nov 2019).

*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).

*Linear response in weakly-coupled systems.*
Talk at ANZIAM (Feb 2018).

*Spectral Galerkin methods for transfer operators.*
Talk at Annual Meeting of the Australian Mathematics Society (Dec 2017).

*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

*Spectral methods for intermittent maps using Abel functions.*
Poster at Foundations of Computational Mathematics conference (Jun 2017).

*Fast numerical approximation of intermittent maps.*
Talk at ANZIAM (Feb 2017).

*Fast approximation techniques for intermittent maps.*
Poster at Advances in Ergodic Theory, Hyperbolic Dynamics and Statistical Laws (Dec 2016). Prize for best poster.

*Approximating 1D chaotic dynamics in a Fourier basis.*
Poster at Mixing Flows and Averaging Methods workshop, ESI Vienna (May 2016).