Publications

PUBLICATIONS

    30. Existence, uniqueness and ergodic properties for time-homogeneous Itô-SDEs with locally integrable drifts and Sobolev diffusion coefficients (with H.Lee)
    (Tohoku Math. J. (2) 73 (2), 159-198, (2021), arXiv:1708.01152 here)
    29. Existence and regularity of pre-invariant measures, transition functions and time homogeneous Itô-SDEs (with H.Lee)
    (Journal of Evolution Equations 21, 601-623(2021), arXiv:1904.09886 here)
    28. Well-posedness for a class of degenerate Itô-SDEs with fully discontinuous coefficients (with H.Lee)
    (Symmetry 2020, 12(4), 570 here, long version 59 pages, short version 36 pages, arXiv:1909.09430 here)
    27. Stochastic Partial Differential Equations and Related Fields. In Honor of Michael Röckner SPDERF, Bielefeld, Germany, October 10-14, 2016, Eberle, A., Grothaus, M., Hoh, W., Kassmann, M., Stannat, W., Trutnau, G. (Eds.), (Springer Proceedings in Mathematics & Statistics here)
    26. Recurrence criteria for generalized Dirichlet forms (with M.Gim)
    (J. Theoret. Probab. 31 (2018), no. 4, 2129-2166, arXiv:1508.02282 here)
    25. Some contributions to the study of stochastic processes of the classes Σ(H) and (Σ), (with F. Eyi-Obiang, O. Moutsinga, Y. Ouknine)
    (Stochastics 89 (2017),no.8, 1253-1269, arXiv:1508.05775 here)
    24. Pointwise weak existence for diffusions associated with degenerate elliptic forms and 2-admissible weights (with J. Shin)
    (Journal of Evolution Equations, 17(3), 931-952, arXiv:1508.02278 here)
    23. On singular stochastic differential equations and Dirichlet forms (with J.Shin)
    (Romanian Journal of Pure and Applied Mathematics, Vol. 62, No. 1, (2017), pp. 217-258, arXiv:1611.04885 here)
    22. Conservativeness criteria for generalized Dirichlet forms (with M.Gim)
    (Journal of Mathematical Analysis and Applications, Volume 448, Issue 2, (2017), pp. 1419-1449, arXiv:1605.04846 here)
    21. On the stochastic regularity of distorted Brownian motions (with J. Shin)
    (Trans. Amer. Math. Soc. 369 (2017), pp. 7883-7915., arXiv:1405.7585 here)
    20. Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion results (with M. Röckner and J. Shin)
    (Discrete Contin. Dyn. Syst. Ser. B 21 (2016), no. 9, 3219-3237, arXiv:1503.08273 here)
    19. About the infinite dimensional skew and obliquely reflected Ornstein-Uhlenbeck process (with M. Röckner)
    (Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18 (2015), no. 4, arXiv:1508.05824 here)
    18. On countably skewed Brownian motion with accumulation point (with Y.Ouknine and F. Russo)
    (Electron. J. Probab. 20 (2015), no. 82, 1-27. arXiv:1308.0441 here)
    17. Pointwise weak existence of distorted skew Brownian motion with respect to discontinuous Muckenhoupt weights (with J. Shin)
    (Romanian Journal of Pure and Applied Mathematics, Vol. 19, No. 1, (2014), pp. 157-170, arXiv:1311.7607 here)
    16. Explicit recurrence criteria for symmetric gradient type Dirichlet forms satisfying a Hamza type condition (with M. Gim)
    (Mathematical Reports, Vol. 15(65), No.4, (2013), pp.397-410, arXiv:1308.0234 here)
    15. Conservativeness of non-symmetric diffusion processes generated by perturbed divergence forms (with M. Takeda)
    (Forum Mathematicum. Volume 24, Issue 2, (2012), pp. 419-444, arXiv:1007.3900 here)
    14. Existence and approximation of Hunt processes associated with generalized Dirichlet forms (with V. Peil)
    (Infin. Dimens. Anal. Quantum Probab. Relat. Top. (2011), Vol. 14, No. 4, pp. 613-628, arXiv:1103.3126 here)
    13. Pathwise uniqueness of the squared Bessel and CIR process with skew reflection on a deterministic time dependent curve
    (Stochastic Processes and their Applications Volume 121, Issue 8, (2011), pp. 1845-1863, arXiv:0804.0123 here)
    12. On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets (with L.Beznea)
    (Journal of Mathematical Analysis and Applications, Volume 384, Issue 1, (2011), pp. 33-48, arXiv:1012.2227 here)
    11. Weak existence of the squared Bessel and CIR processes with skew reflection on a deterministic time dependent curve
    (Stochastic Processes and their Applications Volume 120, Issue 4, (2010), pp. 381-402, arXiv:0804.0119 here)
    10. Analytic properties of smooth measures in the non-sectorial case
    (RIMS Kôkyûroku 1672, Research Institute for Mathematical Sciences, Kyoto University, ISSN 1880-2818, pp. 45-62, (2010), here)
    9. A short note on Lyons-Zheng decomposition in the non-sectorial case
    (RIMS Kôkyûroku Bessatsu B6, Research Institute for Mathematical Sciences, Kyoto University, Journal, ISSN 1881-6193, pp. 237-245 (2008), here)
    8. A remark on the generator of a right-continuous Markov process (with M. Röckner)
    (Infin. Dimens. Anal. Quantum Probab. Relat. Top. (2007), Vol. 10, No. 4, pp. 633-640)
    7. Some parabolic PDEs whose drift is an irregular random noise in space (with F. Russo)
    (Annals of Probability (2007), Vol. 35, No. 6, pp. 2213-2262)
    6. Multidimensional skew reflected diffusions
    (Stochastic Analysis: Classical and Quantum. Perspectives of white noise theory, World Sci. Publ., Hackensack, NJ, (2005), pp. 228-244).
    5. On Hunt processes and strict capacities associated with generalized Dirichlet forms
    (Infin. Dimens. Anal. Quantum Probab. Relat. Top. (2005), Vol. 8, No. 3, pp. 357-382)
    4. About the construction and some analysis of time inhomogeneous diffusions on monotonely moving domains (with F. Russo)
    (J. Funct. Anal. (2005), Vol. 221, No. 1, pp. 37-82)
    3. Skorokhod decomposition of reflected diffusions on bounded Lipschitz domains with singular non reflection part
    (Probab. Theory Relat. Fields 127 (2003), No.4, pp. 455-495)
    2. On a class of non-symmetric diffusions containing fully non-symmetric distorted Brownian motions
    (Forum Math. (2003), Vol. 15, No. 3, pp. 409-437)
    1. Stochastic calculus of generalized Dirichlet forms and applications to stochastic differential equations in infinite dimensions
    (Osaka J. Math. 37 (2000), pp. 315-343)