Jaeyun Yi (이재윤)
Postdoctoral Fellow
Institute of Mathematics, École Polytechnique Fédérale de Lausanne (EPFL)
EPFL SB MATH PROPDE MA C2 594 (Bâtiment MA) Station 8 CH-1015 Lausanne, Switzerland
Email: jaeyun.yi@epfl.ch
About me
I am currently a Postdoctoral Fellow in the group of Martin Hairer at the École Polytechnique Fédérale de Lausanne (EPFL) from Sep. 2023. I was a Project Research Fellow at the Korea Institute for Advanced Study (KIAS) (Sep. 2022 ~ Aug. 2023).
I received my Ph.D. in Aug. 2022 from the Pohang University of Science and Technology (POSTECH) under the guidance of Kunwoo Kim.
Research Interest
My research interest lies in Probability and Stochastic Analysis. In particular, I study Stochastic Partial Differential Equations (SPDEs) and the qualitative properties of their solutions.
Publications and Preprints
L_p regularity theory for the stochastic reaction-diffusion equation with super-linear multiplicative noise and strong dissipativity (with B.-S. Han), Journal of Differential Equations, vol. 379, no. 15, (2024), 569-599.
Fractal geometry of the PAM in 2D and 3D with white noise potential (with P. Ghosal), https://arxiv.org/abs/2303.16063, (2023), preprint, submitted.
The compact support property for solutions to the stochastic partial differential equations with colored noise (with B.-S. Han and K. Kim), SIAM Journal on Mathematical Analysis, vol. 55, no 6, (2023), 7665-7703.
Fractal Geometry of the Valleys of the Parabolic Anderson Equation (with P. Ghosal), (2022), preprint, to appear in Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.
Macroscopic multi-fractality of Gaussian random fields and linear SPDEs with colored noise, Journal of Theoretical Probability, 36, (2022), 926-947.
Limit theorems for time-dependent averages of nonlinear stochastic heat equations (with K. Kim), Bernoulli, 28, (2022), no.1, 214-238.
In Preparation
Fractal geometry of the stochastic Navier-Stokes equation (with P. Ghosal).
Honors and Awards
(2023) Excellent Ph.D. Thesis Award (Department of Mathematics at POSTECH).
(2021) POSTECHIAN Fellowship.
(2018) Excellent Teaching Assistant Award.
(2013-2016) National Excellence Scholarship (Science and Engineering).