Jieliang Hong 洪杰梁
About me
I am an assistant professor at the Department of Mathematics, Southern University of Science and Technology in China, starting from the summer of 2023. Before that, I was a postdoc in the Technion-Israel Institute of Technology, hosted by Prof. Leonid Mytnik, from 2021 to 2023. I obtained my Ph.D. in the Department of Mathematics, University of British Columbia under the supervision of Prof. Edwin Perkins. Before coming to UBC I got my bachelor degree in Mathematics from Peking University.
I am interested in probability theory and its applications. Recently I have been working on measure-valued diffusions, in particular the super-Brownian motion.
Education
University of British Columbia: Ph. D. in Mathematics, 09/2017-08/2021.
Ph.D. Thesis: The local time and boundary of super-Brownian motion. Supervisor: Edwin Perkins
University of British Columbia: M. Sc. in Mathematics, 09/2015-08/2017.
Peking University: B. Sc. in Mathematics, 09/2011-07/2015.
Employment
Southern University of Science and Technology: Assistant Professor, 06/2023-present.
Technion-Israel Institute of Technology: Postdoc, 09/2021-05/2023.
Preprints
[10] Zeteng Fan, Jieliang Hong and Jie Xiong. Some quenched and annealed limit theorems of superprocesses in random environments. Math Arxiv, 2406.06905 , (2024). 36 pages. [Arxiv]
[9] Jieliang Hong and Leonid Mytnik. Exceptional times for the instantaneous propagation of superprocess. Math Arxiv, 2207.11705, (2023). 43 pages. [Arxiv]
[8] Jieliang Hong. Rescaled SIR epidemic processes converge to super-Brownian motion in four or more dimensions. Math Arxiv, 2309.08926, (2023). 80 pages. [Arxiv]
[7] Jieliang Hong. A lower bound for p_c in range-R bond percolation in four, five and six dimensions. Math Arxiv, 2307.01466, (2023). 34 pages. [Arxiv]
Publications
[6] Jieliang Hong. An upper bound for p_c in range-R bond percolation in two and three dimensions. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 59 (3) 1259 - 1341, August 2023. https://doi.org/10.1214/22-AIHP1305.
[5] Jieliang Hong. An exit measure construction of the total local time of super-Brownian motion. Electronic Communications in Probability. 26 (2021), 1 - 9.
[4] Jieliang Hong. On the boundary local time measure of super-Brownian motion. Electronic Journal of Probability. 25 (2020), paper no. 106, 66 pp.
[3] Jieliang Hong, Leonid Mytnik and Edwin Perkins. On the topological boundary of the range of super-Brownian motion . Annals of Probability. 48 (2020), no. 3, 1168--1201, 34 pages.
[2] Jieliang Hong. Improved Hölder continuity near the boundary of one-dimensional super-Brownian motion. Electronic Communications in Probability. 24 (2019), paper no. 28, 12 pp.
[1] Jieliang Hong. Renormalization of local times of super-Brownian motion. Electronic Journal of Probability. 23 (2018), paper no. 109, 45 pp.
Contact
Department of Mathematics
Southern University of Science and Technology
Shenzhen, Guandong Province, China
Email: jielianghong@gmail.com
Link
Google Scholar Arxiv Research Gate ORCID (0000-0002-3444-0560)
