Research
My recent researches focus on:
Analysis on (degenerate) Markov jump processes, non-local operators and related PDEs
Random walks on random environment
Stability theorems for regular Dirichlet forms
Publications
6. S. Cho, P. Kim, J. Lee (2023)
General Law of iterated logarithm for Markov processes: Liminf law
Trans. Amer. Math. Soc. Ser. B. arXiv link
5. S. Cho, P. Kim, R. Song, Z. Vondraček (2022)
Heat kernel estimates for subordinate Markov processes and their applications
Journal of Differential Equations. arXiv link
4. S. Cho, J. Kang, P. Kim (2021)
Estimates of Dirichlet heat kernels for unimodal Levy processes with low intensity of small jumps
Journal of the London Mathematical Society. arXiv link
3. S. Cho, P. Kim (2021)
Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders
Stochastic processes and their applications. arXiv link
2. S. Cho, P. Kim (2020)
Estimates on the tail probabilities of subordinators and applications to general time fractional equations
Stochastic processes and their applications. arXiv link
1. S. Cho, P. Kim, R. Song, Z. Vondraček (2020)
Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings
Journal de Mathematiques Pures et Appliquees. arXiv link
Preprints
6. S. Cho (2024)
Robust estimates for elliptic nonlocal operators on metric measure spaces.
arXiv preprint. arXiv link
5. S. Cho, R. Song (2024)
Fractional Laplacian with supercritical killings.
arXiv preprint. arXiv link
4. S. Cho, P. Kim, R. Song, Z. Vondraček (2024)
Markov processes with jump kernels decaying at the boundary
arXiv preprint. arXiv link
3. S. Cho, P. Kim, R. Song, Z. Vondraček (2022)
Heat kernel estimates for Dirichlet forms degenerate at the boundary
arXiv preprint. arXiv link
2. S. Cho, P. Kim, J. Lee (2022)
Laws of the iterated logarithm for occupation times of Markov processes
arXiv preprint. arXiv link
1. S. Cho, P. Kim, J. Lee (2021)
General Law of iterated logarithm for Markov processes: Limsup law
arXiv preprint (to appear in Trans. Amer. Math. Soc. Ser. B). arXiv link