About
I am a Ph.D. student in Mathematics at the University of California, Irvine, advised by Roman Vershynin.
My research interests are high-dimensional probability and random matrix theory.
(new) In joint work with Dang-Zheng Liu on inhomogeneous random matrices (Part I, Part II) and random band matrices, we relate these edge statistics to the mixing times of random walks.
I received my bachelor's and master's degrees from the University of Science and Technology of China, where I was advised by Dang-Zheng Liu.
Publications
- BBP Transition for Deformed Inhomogeneous Random Matrices
- Feasibility Correction in Linear Programs
- Poisson statistics of one-dimensional random band matrices
- Total Variation Distance between Product Distributions: an Analytic Proxy
- On the Subgaussianity of Quantized Linear Maps: An AI-Assisted Note
- Edge Universality for Inhomogeneous Random Matrices II: Markov Chain Comparison and Critical Statistics
- Edge Universality for Inhomogeneous Random Matrices
- Revisit the Partial Coloring Method: Prefix Spencer and Sampling
- Outliers for deformed inhomogeneous random matrices
- Edge statistics for random band matrices
Notes
Expository notes on number theory, mostly in Chinese.