Welcome! My name is Linshan Liu, and I am a PhD candidate in Mathematics at Heriot-Watt University and Maxwell Institute for Mathematical Sciences in Edinburgh, under the supervision of Mateusz Majka and Lukasz Szpruch. My research focuses on stochastic processes, stochastic optimization, optimal transport, and discretization of dynamic.

Education

2021-  Heriot-Watt University, United Kingdom

Mathematics, PhD student

2019 - 2021 Sorbonne University, France

Probability and Random Models, Master of Science

2016 - 2019 Sorbonne University, France

Mathematics, Bachelor of Science

Publications

L2-Wasserstein contraction for Euler schemes of elliptic diffusions and interacting particle systems, with M.B Majka and P. Monmarché, Stochastic Processes and Their Applications. (2025) 104504. [link], [arXiv].

Polyak-Łojasiewicz inequality on the space of measures and convergence of mean-field birth-death processes, with M. B. Majka and Ł. Szpruch, Applied Mathematics and Optimization 87 (2023) 48. [link], [arXiv].

Teaching

F79PS - Stochastic Processes 2022, 2023, 2024

F21SA - Statistical Modelling and Analysis 2024

F78QT- Quantitative Methods 2024

Contact

linshan.math@gmail.com; ll2018@hw.ac.uk