About me
I’m currently a postdoctoral research associate in mathematics at UNSW Sydney, working with Gary Froyland. Prior to this I was a postdoc at the University of Toronto, where I worked with Jacopo De Simoi.
Before that, I completed my PhD in 2023 at the University of Warwick under the supervision of Ian Melbourne. A copy of my PhD thesis can be found here.
Research interests
My research lies in the areas of smooth ergodic theory and statistical properties of dynamical systems. I am particularly interested in statistical properties of nonuniformly hyperbolic and partially hyperbolic systems.
Papers/preprints
- Functional Correlation Bounds and Optimal Iterated Moment Bounds for Slowly-mixing Nonuniformly Hyperbolic Maps, Communications in Mathematical Physics, 2022 - arXiv, journal
- Functional Correlation Bounds and Deterministic Homogenisation of Fast-slow Systems, preprint, 2023 - arXiv
- Rates of convergence in the multivariate weak invariance principle for nonuniformly hyperbolic maps, preprint, 2025, to appear in Proceedings of the American Mathematical Society - arXiv, journal
- Statistical properties of mostly expanding fast-slow partially hyperbolic systems, preprint (joint with Jacopo De Simoi & Kasun Fernando), 2025 - arXiv
Contact me
Email: nicholas.fleming@unsw.edu.au