My recent researches focus on:

  • Large-scale analysis of the non-equilibrium interacting particle systems.
  • Metastablility of various random processes.
  • Mixing behavior of Markov chains.
List of papers

  • #21 I. Seo, S. Lee, M. Ramil (2023)
    Asymptotic stability and cut-off phenomenon for the underdamped Langevin dynamics
    Submitted. arXiv link
  • #20 I. Seo, C. Landim, J. Lee (2024)
    Metastability and time scales for parabolic equations with drift 2: the general time scale
    Submitted. arXiv link
  • #19 I. Seo, C. Landim, J. Lee (2023)
    Metastability and time scales for parabolic equations with drift 1: the first time scale
    Archive for Rational Mechanics and Analysis (to appear). arXiv link
  • #18 I. Seo, C. Landim, D. Marcondes (2021)
    A resolvent approach to metastability
    Journal of European Mathematical Society (to appear). arXiv link
  • #17 I. Seo and S. Kim (2022)
    Metastability of stochastic Ising and Potts model on three-dimensional lattice without external fields
    Electronic Journal of Probability. arXiv link, Journal link
  • #16 I. Seo and S. Kim (2022)
    Approximation method to metastability: an application to non-reversible, two-dimensional Ising and Potts model without external fields
    Annals of Probability. (to appear) arXiv link
  • #15 I. Seo, S. Kim (2022)
    Metastability of Ising and Potts models without external fields in large volumes at low temperatures
    Communications in Mathematical Physics. arXiv link, Journal link
  • #14 I. Seo and J. Lee (2020)
    Non-reversible metastable diffusions with Gibbs invariant measure II: Markov chain convergence
    Journal of Statistical Physics. arXiv link, Journal link
  • #13 I. Seo and J. Lee (2022)
    Non-reversible metastable diffusions with Gibbs invariant measure I: Eyring-Kramers formula
    Probability Theory and Related Fields. arXiv link, Journal link
  • #12 I. Seo, C. Landim, D. Marcondes (2023)
    Metastable behavior of reversible, critical zero-range processes.
    Annals of Probability. arXiv link, Journal link
  • #11 I. Seo and S. Kim (2020)
    Condensation and metastable behavior of non-reversible inclusion processes.
    Communications in Mathematical Physics. arXiv link, Journal link
  • #10 I. Seo and S. Ganguly (2019)
    Information percolation and cutoff for the random cluster model.
    Random Structures & Algorithms. arXiv link, Journal link
  • #9 I. Seo and F. Rezakhanlou (2018)
    Scaling limit of small random perturbation of dynamical systems.
    Annales de l'Institut Henri Poincare (B) Probabilites et Statistiques. arXiv link
  • #8 I. Seo and P. Tabrizian (2018)
    Asymptotics for scaled Kramers-Smoluchowski equations in several dimensions with general potentials.
    Calculus of Variations and Partial Differential Equations. arXiv link, Journal link
  • #7 I. Seo (2017)
    Condensation of non-reversible zero-range processes.
    Communications in Mathematical Physics. arXiv link, Journal link
  • #6 I. Seo and C. Landim (2017)
    Metastability of one-dimensional, non-reversible diffusions with periodic boundary conditions.
    Annales de l'Institut Henri Poincare (B) Probabilites et Statistiques. arXiv link, Journal link
  • #5 I. Seo, C. Landim and M. Mariani (2017)
    Dirichlet's and Thomson's principles for non-selfadjoint elliptic operators with application to non-reversible metastable diffusion processes.
    Archive for Rational Mechanics and Analysis. arXiv link, Journal link
  • #4 I. Seo and C. Landim (2016)
    Metastability of non-reversible mean-field Potts model with three spins.
    Journal of Statistical Physics. arXiv link, Journal link
  • #3 I. Seo and C. Landim (2016)
    Metastability of non-reversible random walks in a potential field, the Eyring-Kramers transition rate formula.
    Communications on Pure and Applied Mathematics. arXiv link, Journal link
  • #2 I. Seo (2015)
    Scaling limit of two-component interacting Brownian motions.
    Annals of Probability. arXiv link, Journal link
  • #1 I. Seo (2015)
    Large deviation principle for interacting Brownian motions.
    Communications on Pure and Applied Mathematics. arXiv link, Journal link
Miscellaneous

  • #2 I. Seo (2021)
    Generalized Dirichlet and Thomson Principles and Their Applications
    Sangsan Lecture Note Series in Mathematics 57. arXiv link
  • #1 I. Seo (2019)
    Analysis of metastable behavior via solutions of Poisson equations.
    Proceeding to the 17th International Symposium Stochastic Analysis on Large Scale Interacting Systems. arXiv link