张原 - 北京大学 - 数学科学学院

个人简介

CAREER Peking University 2018 –Assistant Professor Texas A&M University 2016 – 2018 Visiting Assistant Professor University of California, Los Angeles 2015 – 2016 Assistant Adjunct Professor EDUCATION Duke University 2010 – 2015 Ph.D. in Mathematics, May 2015 Thesis area: Probability Thesis title: Applications of spatial models to ecological and social systems Advisor: Prof. Rick Durrett Peking University 2006 – 2010 B.S., July 2010 Mentor: Prof. Yanxia Ren 教学经历加州大学洛杉矶分校 MATH 170A: Undergraduate Probability Theory Part 1, fall quarter, 2015 (6.64/9) MATH 170B: Undergraduate Probability Theory Part 2, winter quarter, 2016 (8.13/9) MATH 174E: Undergraduate Mathematics Finance, winter quarter, 2016 (6.5/9) MATH 170B: Undergraduate Probability Theory Part 2, spring quarter, 2016 (7.94/9) MATH 170B: Undergraduate Probability Theory Part 2, spring quarter, 2016 (7.1/9) 得州 A&M 大学(TAMU) MATH 152: Engineering Mathematics II (Calculus II), fall semester, 2016 MATH 308: Differential Equations, spring semester, 2017 MATH 151: Engineering Mathematics I (Calculus I), fall semester, 2017 MATH 308: Differential Equations, spring semester, 2018 北京大学 2018 年秋季学期：高等概率论(98.67/100) 2019 年春季学期：概率统计 B (91.19/100)，指导 3 名本科生毕业论文 2019 年秋季学期：高等概率论(99.37/100) 2020 年春季学期：概率统计 B(88.60/100)，指导 2 名本科生毕业论文 2020 年秋季学期：教学轮空 2021 年春季学期：概率统计 B(91.10/100)，指导 1 名本科生毕业论文 2021 年秋季学期：概率统计 A(93.64/100) 2022 年春季学期：概率统计 B，指导 3 名本科生毕业论文班主任北京大学 2018 级本科 5 班班主任教学获奖北京大学第十九届青年教师教学基本功比赛理工组一等奖北京大学第十九届青年教师教学基本功比赛理工组最佳教学演示奖北京大学第十九届青年教师教学基本功比赛理工组最受学生欢迎奖北京大学 2019-2020 年优秀班主任北京高校第十二届青年教师教学基本功比赛最受学生欢迎奖（理科类第一名）北京高校第十二届青年教师教学基本功比赛最佳教学反思奖（理科类第一名）北京高校第十二届青年教师教学基本功比赛三等奖

研究领域

Interacting Particle Systems and their applications; Random Geometry, particularly Diffusion Limited Aggregations (DLA) and Random Interlacement models.

近期论文

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[1] Durrett, R., & Zhang, Y. (2014). Exact solution for a metapopulation version of Schelling’s model. Proceedings of the National Academy of Sciences - PNAS, 111(39), 14036-14041. doi:10.1073/pnas.1414915111 [2] Durrett, R., Liggett, T., & Zhang, Y. (2014). The contact process with fast voting. Electronic Journal of Probability, 19 doi:10.1214/EJP.v19-3021 [3] Durrett, R., & Zhang, Y. (2015). Coexistence of grass, saplings and trees in the Staver–Levin forest model. The Annals of Applied Probability,25(6), 3434-3464. doi:10.1214/14-AAP1079 [4] Lanchier, N., & Zhang, Y. (2016). Some rigorous results for the stacked contact process. Alea-Latin American Journal of Probability and Mathematical Statistics, 13(1), 193-222. doi:10.30757/ALEA.v13-08 [5] Liu, J., & Zhang, Y. (2016). Convergence of diffusion-drift many particle systems in probability under a Sobolev norm. (pp. 195-223). Cham: Springer International Publishing. doi:10.1007/978-3-319-32144-8_10 [6] Liu, J., & Zhang, Y. (2016). Convergence of stochastic interacting particle systems in probability under a sobolev norm. Annals of Mathematical Sciences and Applications, 1(2), 251-299.doi:10.4310/AMSA.2016.v1.n2.a1 [7] Procaccia, E. B., & Zhang, Y. (2018). On covering paths with 3 dimensional random walk. Electronic Communications in Probability, 23 doi:10.1214/18-ECP160 [8] Procaccia, E. B., & Zhang, Y. (2019). Connectivity properties of branching interlacements. Alea-Latin American Journal of Probability and Mathematical Statistics, 16(1), 279-314. doi:10.30757/ALEA.v16-10 [9] Wang, C., Zhang, Y., Bertozzi, A. L., & Short, M. B. (2019). A stochastic-statistical residential burglary model with finite size effects. (pp. 245-274). Cham: Springer International Publishing. doi:10.1007/978-3-030-20297-2_8 [10] Procaccia, E. B., & Zhang, Y. (2019). Stationary harmonic measure and DLA in the upper half plane. Journal of Statistical Physics, 176(4),946-980. doi:10.1007/s10955-019-02327-y [11] Wang, C., Zhang, Y., Bertozzi, A. L., & Short, M. B (2020). A stochastic-statistical residential burglary model with independent poisson clocks. European Journal of Applied Mathematics, , 1-27.doi:10.1017/s0956792520000029 [12] Procaccia, E. B., Rosenthal, R., & Zhang, Y. (2020). Stabilization of DLA in a wedge. Electronic Journal of Probability, 25 doi:10.1214/20-EJP446 [13] Procaccia, E. B., Ye, J., & Zhang, Y. (2020). Stationary DLA is well defined. Journal of Statistical Physics, 181(4), 1089-1111.doi:10.1007/s10955-020-02619-8 [14] Mu, Y. X., & Zhang, Y. (2020). On some threshold-one attractive interacting particle systems on homogeneous trees. Journal of Applied Probability, 57(3), 866-898. doi:10.1017/jpr.2020.38 [15] Zhang, Y., You, C., Cai, Z., Sun, J., Hu, W., & Zhou, X. (2020).Prediction of the COVID-19 outbreak in china based on a new stochastic dynamic model. Scientific Reports, 10(1), 21522-21522.doi:10.1038/s41598-020-76630-0 [16] Procaccia, E. B., & Zhang, Y. (2020). On covering monotonic paths with simple random walk. Electronic Journal of Probability, 25, 1-39. [17] 张云俊, 张原, 尤翀，周晓华. 2020，新型冠状病毒肺炎(COVID-19)传染病传播动⼒学模型的综述，中华医学科研管理杂志，33：⽹络预发表. DOI:10.3760/cma.j.cn113565-20200214-00007 [18] 张原, 尤翀，蔡振豪，孙嘉瑞，胡⽂杰，周晓华. 2020，新冠肺炎 (COVID-19)新型随机传播动⼒学模型及应⽤，应⽤数学学报，43(2)，440-451 [19] Procaccia, E. B., & Zhang, Y. (2021). On sets of zero stationary harmonic measure. Stochastic Processes and their Applications, 131,236-252. doi:10.1016/j.spa.2020.09.007 [20] Cai, Z., Xiong, Y., & Zhang, Y. (2021). On (non-)monotonicity and phase diagram of finitary random interlacement. Entropy (Basel, Switzerland), 23(1), 69. doi:10.3390/e23010069 (corresponding author) [21] Procaccia, E. B., Ye, J., & Zhang, Y. (2021). Percolation for the finitary random interlacements. Alea, 18(1), 265-287. [22] Wang, C., & Zhang, Y. (2021). A Multiscale Stochastic Criminal Behavior Model under a Hybrid Scheme. Electronic Research Archive,29(4): 2741-2753. doi:10.3934/era.2021011 [23] Procaccia, E. B., Ye, J., & Zhang, Y. (2021). Stationary harmonic measure as the scaling limit of truncated harmonic measure. Alea, 18,1529–1560. doi:10.30757/ALEA.v18-56 [24] You, C., Gai, X., Zhang Y., & Zhou X. (2021). Determining the Covertness of COVID-19 — Wuhan, China, China CDC Weekly, 3(8), 170-173. doi:10.46234/ccdcw2021.048 (joint corresponding author) [25] Cai, Z., & Zhang, Y. (2021). Some Rigorous Results on the Phase Transition of Finitary Random Interlacement. Electronic Communications in Probability, 26: 1-11. doi: 10.1214/21-ECP424 [26] Liu, J., Wang, Z., Zhang, Y., & Zhou, Z. (2021). Rigorous justification of the Fokker-Planck equations of neural networks based on an iteration perspective. SIAM Journal on Mathematical Analysis, accepted [27] Liu, J., Wang, Z., Xie, Y., Zhang, Y., & Zhou, Z. (2021). Investigating the integrate and fire model as the limit of a random discharge model: A stochastic analysis perspective. Mathematical Neuroscience and Applications, accepted [28] Zhang, Y., You, C., Gai, X., & Zhou X. (2021) On the coexistence with COVID-19: estimations and perspectives. China CDC Weekly, 2021, 3(50):1057-1061. doi: 10.46234/ccdcw2021.245 [29] Cai, Y., Wang, C., Zhang, Y. (2021). A multiscale stochastic criminal behavior model and the convergence to a piecewise-deterministicMarkov-process limit. Mathematical Models and Methods in Applied Sciences, accepted [30] Wang, X., Cai, Y., Zhang, B., Zhang, X., Wang, L., Yan, X., Zhao X., Zhang, Y., Jia Z. (2022) Cost-effectiveness analysis on COVID-19 surveillance strategy of large-scale sports competition. Infectious Diseases of Poverty, accepted (joint/last corresponding author