Analysis on (degenerate) Markov jump processes, non-local operators and related PDEs
Random walks on random environment
Stability theorems for regular Dirichlet forms
Publications
11. S. Cho, P. Kim
Stability of H\"older regularity and weighted functional inequalities
To appear in Journal de mathématiques pures et appliquées. arXiv link
10. S. Cho, P. Kim, R. Song, Z. Vondraček
Heat kernel estimates for Dirichlet forms degenerate at the boundary
To appear in Annals of Probability. arXiv link
9. S. Cho, P. Kim, J. Lee (2025)
General Law of iterated logarithm for Markov processes: Limsup law
Trans. Amer. Math. Soc. Ser. B. arXiv link
8. S. Cho, P. Kim, J. Lee (2025)
Laws of the iterated logarithm for occupation times of Markov processes
Stochastic processes and their applications. arXiv link
7. S. Cho, R. Song (2025)
Fractional Laplacian with supercritical killings
Communications in Mathematical Physics. arXiv link
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 mathématiques pures et appliquées. arXiv link
Preprints
6. S. Cho, R. Song (2025)
Abnormal boundary decay for the fractional Laplacian
arXiv preprint. arXiv link
5. S. Cho, R. Song (2025)
Approximate factorizations for non-symmetric jump processes
arXiv preprint. arXiv link
4. S. Cho, P. Kim, R. Song (2025)
Heat kernel estimates for Schrödinger operators with supercritical killing potentials
arXiv preprint. arXiv link
3. S. Cho (2025)
Stable characterization of diagonal heat kernel upper bounds for symmetric Dirichlet forms
arXiv preprint. arXiv link
2. S. Cho (2024)
Robust estimates for elliptic nonlocal operators on doubling spaces
arXiv preprint. arXiv link
1. S. Cho, P. Kim, R. Song, Z. Vondraček (2024)
Markov processes with jump kernels decaying at the boundary
arXiv preprint. arXiv link