Research

My research interests in probability theory are

• Asymptotic behavior of Langevin dynamics

• Low-temperature behavior of statistical physics systems

• Mixing of stochastic systems

Publications

1. Energy landscape and metastability of Curie-Weiss-Potts model. (2022)

• Journal of Statistical Physics. [Journal link] [arXiv link]

2. (with Insuk Seo) Non-reversible metastable diffusions with Gibbs invariant measure II: Markov chain convergence. (2022)

   • Journal of Statistical Physics. [Journal link] [arXiv link]

3. (with Insuk Seo) Non-reversible metastable diffusions with Gibbs invariant measure I: Eyring--Kramers formula. (2022)

• Probability Theory and Related Fields. [Journal link] [arXiv link]

Preprints

1. Mixing of metastable diffusion processes with Gibbs invariant distribution. submitted. (2024)

   • arXiv:2407.06383 [arXiv link]

2. (with Insuk Seo and Claudio Landim) Metastability and time scales for parabolic equations with drift 2: the general time scale. submitted. (2024)

   • arXiv:2402.07695 [arXiv link]

3. (with Insuk Seo and Claudio Landim) Metastability and time scales for parabolic equations with drift 1: the first time scale. submitted. (2023)

   • arXiv:2309.05546 [arXiv link]

Research presentations

1. [2024/08/14] Bernoulli-ims 11th World Congress in Probability and Statistics (scheduled)

   • • Ruhr University, Bochum, Germany

2. [2024/06/14] IMPA seminar

   • • Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil.

3. [2024/04/01] SNU probability seminar [Link]

   • • Seoul National University, Seoul, Korea.

4. [2024/03/07] KIAS APP seminar [Link]

   • • KIAS, Seoul, Korea.

5. [2024/01/23] Probability Workshop in Korea 2024 [Link]

   • • Lotte Resort, Sokcho, Korea.

6. [2024/01/16] 2024 winter international conference

   • • Department of Mathematics, Chungnam National University, Korea. (Online)

7. [2023/07/11] Workshop on Quantum Analysis 2023 [Link]

   • • Ramada Hotel, Sokcho, Korea.

8. [2023/05/08] Joint Seminar for Probability and Mathematical Biology [Link]

   • • POSTECH, Pohang, Korea.

9. [2023/04/28] Focus Session “Probability and Mathematical Physics” at the 2023 KMS Spring Meeting [Link]

   • • Daejeon Convention Center, Daejeon, Korea.

10. [2023/04/20] Conference on Probability and PDEs [Link]

    • • KAIST, Daejeon, Korea.

11. [2023/04/05] Analysis and Simulations of Metastable Systems [Link]

    • • CIRM, Marseille, France.

12. [2022/10/04] 2022-2 Rookies Pitch [Link]

    • • Seoul National University, Seoul, Korea.

13. [2021/07/19] Bernoulli-IMS 10th World Congress in Probability and Statistics. Online. [Link]

14. [2021/04/30] 2021 KMS Spring Meeting. Online. [Link]

15. [2020/10/24] (Poster) 2020 KMS Fall Meeting. Online. [Link]

Minicourses

1. [2024/01/15] Mini-école d'hiver sur la métastabilité [Link]

   • • Laboratoire de Mathématiques Raphaël Salem, Université de Rouen Normandie, France.