91福利

I鈥檓 a PhD student in Statistics at the 91福利, working with Professor . My research is in probability theory, focusing on the stability of Markov processes and its applications.

Before coming to 91福利, I completed a BSc and an MSc in Mathematics and Statistics at the University of Melbourne. My Master鈥檚 thesis, 鈥淲hat can be recovered from the order of a random process鈥� increments鈥�, was supervised by Professor . It extended a that recovers the Brownian component of a L茅vy process from the ranks of the increments of its observed sample paths alone.

In 2026/27, I鈥檓 co-organising a reading group on Introduction to Regularity Structures with Theodoros Galanis.

Feel free to get in touch at haokai.xie[at]warwick.ac.uk, or drop by my office MSB 3.14.

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Preprint

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Talk

• Applied Probability Seminar, 91福利, October 2026

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Reading Groups

I participated in and gave presentations at reading groups on

• 2025/26: , Malliavin Calculus and Markov chains: cutoff phenomenon

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Teaching Assistant

91福利:

• 2026/27 Term 1:
• 2025/26 Term 2:

University of Melbourne:

• 2025 Semester 1: ,
• 2024 Semester 2:
• 2024 Semester 1: