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Nicolò Paviato

I am a second year PhD student in Mathematics and Statistics following the MASDOC DCT, under the supervision of Prof. Ian Melbourne.

Background:

I got my Bachelor degree in Mathematics from the University of Pavia (Italy) in 2015 with the dissertation " Lebesgue measure, non-measurable sets and related matters". The thesis is about the connection between non-measurable sets in R^d, the axiom of choice, and Banach-Tarski paradox. My supervisor was Prof. Pierluigi Colli.

I got my Master degree in Mathematics from the University of Pavia (Italy) in 2018 with the dissertation "Propagation of chaos for McKean diffusion model". This work is related to Markov processes on Polish state spaces, one-parameter semigroup theory and stochastic differential equations. My supervisor was Dr. Emanuele Dolera.

I got my MsC in Mathematics and Statistics from the University of Warwick under the MASDOC DCT in 2019, with the dissertation "On the Rates of Convergence for a Deterministic Weak Invariance Principle ". This project extend to the continuum a martingale coboundary decomposition, valid for dynamical systems with exponential decay of correlation. This work is aimed to improve the rate of convergence for the functional CLT in such systems.

Research Interests:

My work concerns statistical property of dynamical systems, regarding especially rates of convergence of the weak invariance principle.

I am particularly interested in Dynamical Systems, Ergodic Theory, and Probability.

Office: Zeeman building - B0.24

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