Papers

My current research interests lie on the following topics:

Metastability of complex stochastic interacting systems.
Spectral gap and cutoff phenomenon of particle systems and spin systems.
Non-equilibrium fluctuations of interacting particle systems.

Publications

[10] (2024) Metastable hierarchy in abstract low-temperature lattice models: an application to Kawasaki dynamics for Ising lattice gas with macroscopic number of particles. Submitted arXiv

[9] (2023) Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization. Submitted arXiv

[8] (2023) Spectral gap of the symmetric inclusion process. (with Federico Sau) Annals of Applied Probability (to appear) arXiv

[7] (2022) Energy landscape and metastability of stochastic Ising and Potts models on three-dimensional lattices without external fields. (with Insuk Seo) Electronic Journal of Probability, 2024 arXiv, Journal

[6] (2022) Approximation method to metastability: an application to non-reversible, two-dimensional Ising and Potts models without external fields. (with Insuk Seo) Annals of Probability (to appear) arXiv

[5] (2022) Metastability of the three-state Potts model with general interactions. (with Gianmarco Bet and Anna Gallo) Electronic Journal of Probability, 2023 arXiv, Journal

[4] (2021) Metastability of Ising and Potts models without external fields in large volumes at low temperatures. (with Insuk Seo) Communications in Mathematical Physics, 2022 arXiv, Journal

[3] (2021) Metastability of Blume–Capel model with zero chemical potential and zero external field. Journal of Statistical Physics, 2021 arXiv, Journal

[2] (2020) Second time scale of the metastability of reversible inclusion processes. Probability Theory and Related Fields, 2021 arXiv, Journal, Corrigendum

[1] (2019) Condensation and metastable behavior of non-reversible inclusion processes. (with Insuk Seo) Communications in Mathematical Physics, 2021 arXiv, Journal

Ongoing projects

Spectral gap of the symmetric inclusion process II: failure of Aldous' spectral gap identity for the symmetric inclusion process off the log-concave regime (with Federico Sau)
Particle transport of the boundary-driven symmetric inclusion process
Resolvent approach to metastability with general Feller limit process: an application to transient Langevin dynamics (with Jung-Kyoung Lee)
Shallow metastable transitions of Glauber dynamics for Ising/Potts models with zero external fields (with Federico Sau)