Research
Probability and Stochastic Process: Superprocess, Stochastic Partial Differential Equaitons, Percolation, SIR epidemic models, etc.

Publications and preprints

[9] Jieliang Hong and Leonid Mytnik. Exceptional times for the instantaneous propagation of superprocess.  Math Arxiv,2311.13757, (2023). 43 pages. 

[8] Jieliang Hong. Rescaled SIR epidemic processes converge to super-Brownian motion in four or more dimensions.  Math Arxiv, 2309.08926, (2023). 80 pages.

[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. 

[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 (2023), 1259-1341.

[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.

2023 Fall

Probability (Undergraudate)

[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, (2023).

[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.