Publications and Preprints:

• (With F. Baudoin): Brownian motions and heat kernel lower bounds on Kähler and quaternion Kähler manifolds. International Mathematics Research Notices, 2020. arXiv 

• (With G. Cho): Octonionic Brownian Windings. Journal of theoretical probability, 2021. arXiv

• (With F. Baudoin and  G. Cho): A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds. Electronic Communications in Probability, 2021. arXiv 

• A Version of Hörmander's Theorem for Markovian Rough Paths. Potential Anal, 2022. arXiv

• (With M, Chae, G. Cho and M. Gordina) The stochastic Schwarz lemma on Kähler manifolds by couplings and its applications, 2023, J. London Math. Soc. arXiv 

• On Non-degenerate Chaos Processes, 2023, in revision. arXiv

• Chaos processes as rough paths, 2023, submitted. arXiv 

• (With G. Cho and G. Wei) Probabilistic Method to Fundamental gap problems on the sphere, 2024,to appear in Trans. Am. Math. Soc. arXiv