Haokai Xie

I am a first-year PhD student in Statistics at the University of Warwick, supervised by Professor Aleksandar Mijatović. My research interests lie in probability theory and related areas. Currently, I study the stability of ergodic Markov processes, particularly on obtaining the exact convergence rate to their stationary measures.

Prior to joining Warwick, I completed my Master's thesis, entitled “What can be recovered from the order of a random process’ increments”, under the supervision of Professor Konstantin Borovkov at the University of Melbourne. This work investigated the extension of a novel algorithm for recovering the Brownian component of Lévy processes using only the rank of increments from observed sample paths.

In the 2025/26 academic year, I am participating in and giving presentations at reading groups on Gaussian Multiplicative Chaos, Malliavin Calculus and Markov chains: cutoff phenomenon.