Speaker: Cecilia González Tokman, University of Queensland, Australia
Title: A journey into random dynamical systems and multiplicative ergodic theory
Time and place: Friday June 28 2024, at 14:30, in Euler Violets, Inria, Sophia Antipolis, and online.
Abstract: Random (or non-autonomous) dynamical systems are flexible mathematical models for the study of complicated systems whose evolution is affected by external factors, such as seasonal influences and random effects. Multiplicative ergodic theory provides fundamental information for the study of transport phenomena in such systems, including long-term behaviour, mixing rates and coherent structures. In this talk, we will take a journey into random dynamical systems and multiplicative ergodic theory, guided in part by questions arising from the investigation of oceanic and atmospheric flows.
Biography: Cecilia González Tokman is an associate professor in the School of Mathematics and Physics at the University of Queensland. After completing undergraduate studies at Universidad de Guanajuato / CIMAT (Mexico) and PhD at the University of Maryland (USA), she held research fellowships from the Pacific Institute for the Mathematical Sciences (PIMS, Canada) and the Australian Research Council (ARC).
Cecilia’s main research expertise is in dynamical systems and ergodic theory. Along with collaborators, she has developed a framework for the study of transport in random dynamical systems, relying on the so-called Lyapunov–Oseledets spectrum. Her key contributions include the development of tools and algorithms to approximate coherent structures and Lyapunov exponents; establish limit laws and quantify fluctuations; develop thermodynamic formalism; analyse stability and optimise mixing. She has also worked on data assimilation, interacting particle systems, metastable and open dynamical systems.
Cecilia has delivered over a hundred invited lectures, seminars and colloquia around the world, and has participated at invitation-only workshops at AIM (USA), BIRS (Canada), Bernoulli Center (Switzerland), CMO (Mexico), CIRM (France), Centro De Giorgi (Italy), Erdös Center (Hungary), Lorentz Center (Netherlands) and MATRIX (Australia). She has held leadership roles at the national level, including MATRIX Scientific Committee, Australian Mathematical Society council and ANZIAM Executive Committee. Cecilia’s research has been funded by the Australian Research Council, through Discovery Projects and a 2016 Discovery Early Career Researcher Award (DECRA). She has been (co-)lead organiser for competitively funded conferences in Australia, Canada and Mexico.
