My current research interests lie on the following topics:
Metastability of large-scale stochastic systems, in particular dynamics in random environments
Spectral gap and cutoff phenomenon of interacting particle systems
Non-equilibrium fluctuations around the hydrodynamic limits of interacting particle systems
[13] Spectral gap of the KMP and other stochastic exchange models on arbitrary graphs (with Matteo Quattropani and Federico Sau)
[13] Submitted arXiv:2505.02400
[12] $\Gamma$-expansion of the measure-current large deviations rate functional of non-reversible finite-state Markov chains (with Claudio Landim)
[12] Stochastic Processes and their Applications, 189:104733, 2025 arXiv:2412.13515
[11] One- and two-particle spectral gap identities for the symmetric inclusion process and related models (with Federico Sau)
[11] Submitted arXiv:2412.01489
[10] Metastable hierarchy in abstract low-temperature lattice models: an application to Kawasaki dynamics for Ising lattice gas with macroscopic number of particles
[10] Submitted arXiv:2405.08488
[9] Hierarchical structure of metastability in the reversible inclusion process: third time scale and complete characterization of the tunneling between ground states
[9] Transactions of the American Mathematical Society, 378:6291–6352, 2025 arXiv:2308.13842
[8] Spectral gap of the symmetric inclusion process (with Federico Sau)
[8] The Annals of Applied Probability, 34:4899–4920, 2024 arXiv:2303.16607
[7] Energy landscape and metastability of stochastic Ising and Potts models on three-dimensional lattices without external fields (with Insuk Seo)
[7] Electronic Journal of Probability, 29:1–70, 2024 arXiv:2102.05565
[6] Approximation method to metastability: an application to non-reversible, two-dimensional Ising and Potts models without external fields (with Insuk Seo)
[6] The Annals of Probability, 53:597–667, 2025 arXiv:2212.13746
[5] Metastability of the three-state Potts model with general interactions (with Gianmarco Bet and Anna Gallo)
[5] Electronic Journal of Probability, 28:1–37, 2023 arXiv:2208.11869
[4] Metastability of Ising and Potts models without external fields in large volumes at low temperatures (with Insuk Seo)
[4] Communications in Mathematical Physics, 396:383–449, 2022 arXiv:2109.13583
[3] Metastability of Blume–Capel model with zero chemical potential and zero external field
[3] Journal of Statistical Physics, 184:33, 2021 arXiv:2103.11533
[2] Second time scale of the metastability of reversible inclusion processes
[2] Probability Theory and Related Fields, 180:1135–1187, 2021 arXiv:2007.05918 Corrigendum
[1] Condensation and metastable behavior of non-reversible inclusion processes (with Insuk Seo)
[1] Communications in Mathematical Physics, 382:1343–1401, 2021 arXiv:2007.05252
[1] Metastable hierarchy in low-temperature lattice models
[1] Submitted arXiv:2502.00073