Research Interests
Here is a word cloud created from the titles and abstracts of my
papers using wordle. The most common
words in these abstracts are displayed here, with font size related
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I work in dynamical systems. Dynamical systems theory is an active
and exciting area of modern mathematics which provides an abstract
formalism for studying systems evolving in time and/or space. It
is a powerful tool to unveil general and universal mechanisms
underpinning the plethora of dynamical behaviors observed in
nature. This allows us to apply those ideas in constructive ways
to understand and control dynamical systems in nature and
technology, with applications ranging from biology to weather and
climate.
My current research interests can be broken roughly into these areas:
- Dynamical systems
- Diffusive behaviour of deterministic dynamical systems
- Homogenization
- Model reduction in complex networks
- Numerically simualting stochastic processes using deterministic chaotic systems
- Intermittency
- Geophysical fluid dynamics
- Stochastic model reduction
- Climate theory
- Balanced dynamics
- Nonlinear wave equations
- Turbulence
- Data assimilation
- Kalman filters
- Ensemble methods
- Pattern formation in biological and chemical systems
- Excitable media
- Cardiac dynamics
- Variational methods
- Nonlinear time series analysis
- Testing for chaos (0-1 test for chaos)
- Anomalous diffusion
