Dr Kasun Fernando Akurugodage
Lecturer in Mathematics

Research area(s)

My research lies at the intersection of dynamical systems, probability theory, and statistical inference, addressing fundamental questions about statistical behaviour in deterministic and stochastic models.

Research Interests

Currently, I am investigating

• Statistical properties of non-uniformly chaotic systems such as fast-slow systems and partially hyperbolic endomorphisms,
• Asymptotic expansions for limit theorems, including Edgeworth expansions and exact large deviations for weakly dependent random variables, and
• Bootstrap and estimation techniques for dynamical models, developing theoretically sound algorithms for inference from deterministic time-series data

using perturbation theory and spectral theory of linear operators along with a combination of techniques from classical probability theory, stochastic analysis, statistics, and dynamical systems. Recently, I have ventured into research questions in machine learning related to my main research interests. Also, I am actively searching for interdisciplinary research opportunities.

I collaborate widely, including with colleagues at Macquarie University (Australia), Scuola Normale Superiore (Italy), University of Brest (France), University of Toronto (Canada), University of Maryland (USA), and Grinnel College (USA).