Jiyun Park

Stanford University
Department of Mathematics
Email: jiyunp [at] stanford [dot] edu

About Me

I am a fifth-year mathematics PhD student at Stanford University. My advisor is Amir Dembo. Before coming to Stanford, I was an undergraduate at Seoul National University.

I study probability theory and its connections to statistical physics and combinatorics. A big part of my research concerns large deviations of attractive random walks and Brownian motions. Other works include random graphs and random walks on random or dynamic environments.

Here is my CV.

Publications and Preprints

You can also see my papers on arXiv.

  1. Recurrence and transience of random walks in monotonically changing environments
    (with Rupert Li)
    arXiv
  2. Asymptotics of Brownian occupation measures with unusually large intersections
    arXiv
  3. Capacity of the range of random walk: Moderate deviations in dimensions 4 and 5
    (with Arka Adhikari)
    Probability Theory and Related Fields (2026) arXiv Journal
  4. Upper tails of subgraph counts in directed random graphs
    arXiv
  5. Size of exceptional sets in weakly mixing systems
    (with Kangrae Park)
    arXiv

Invited Talks

Select Honors and Awards

Teaching

Stanford University - Teaching Assistant / Course Assistant