Ms Caroline Wormell
School of Mathematics and Statistics F07
University of Sydney NSW 2006
|Office:||Room 807 Carslaw Building|
Quantitative study of statistical properties of one-dimensional chaotic systems
Backward stochastic differential equations
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 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: Invited talk at Multiscale Methods for Deterministic and Stochastic Dynamics, University of Geneva, 29-30 January 2020.
Macroscopic non-hyperbolicity in chaotic dynamics. Poster at SDG Margaret River (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). Slides
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). Slides
Spectral Galerkin methods for transfer operators. Talk at Annual Meeting of the Australian Mathematics Society (Dec 2017). Slides
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).
Chaotic systems and ergodic theory. Talk for Center for Atmospheric and Oceanic Sciences graduate student lunch, NYU (Nov 2018).
Introduction to Julia. Talk for Center for Atmospheric and Oceanic Sciences graduate student lunch, NYU (Oct 2018).
Numerical computing with functions in Julia. Talk for Julia Sydney Meetup group (Dec 2017).
A user's guide to chaotic systems. Talk for USyd Mathematics Postgraduate Seminar Series (Oct 2017).
Constituent structure in Palauan. Presentation at the Australian Linguistics Society Conference, Melbourne (Dec 2016).
The mathematics of biological pattern formation, or How the Leopard Got Its Spots. Talk for Sydney University Mathematics Society (Aug 2016).
Minding your p's and q's: adventures in statistical inference. Talk for Sydney University Mathematics Society (Sep 2014).