张原

副教授,青年英才岗位

职  务:

办 公 室:明德主楼1004

电子邮箱:zhang_probab@ruc.edu.cn

教育背景

2010.08-2015.05,美国杜克大学数学专业,哲学博士学位

2006.09-2010.07,北京大学大学数学与应用数学专业,理学学士学位

 

工作经历

2022.09至今,太阳成集团122cc官网入口,副教授

2018.07-2022.09,北京大学,助理教授/研究员

2016.08-2018.07,美国得州A&M大学(TAMU),Visiting Assistant Professor

2015.07-2016.06,美国加州大学洛杉矶分校(UCLA),Assistant Adjunct Professor

 

研究方向

随机空间过程、随机相互作用粒子系统、随机动力学模型及其在流行病学及社会科学的应用


荣誉奖励

1. 北京大学第十九届青年教师教学基本功比赛,理工科类一等奖,独立获奖人,北京大学,2020

2. 北京大学第十九届青年教师教学基本功比赛,最佳教学演示奖,独立获奖人,北京大学,2020

3. 北京大学第十九届青年教师教学基本功比赛,最受员工欢迎奖,独立获奖人,北京大学,2020

4. 北京高校第十二届青年教师教学基本功比赛,理科类A组最佳教学反思奖,独立获奖人,北京市教工委等,2021

5. 北京高校第十二届青年教师教学基本功比赛,理科类A组最受员工欢迎奖,独立获奖人,北京市教工委等,2021

6. 北京高校第十二届青年教师教学基本功比赛,理科类A组三等奖,独立获奖人,北京市教工委等,2021

7. 北京大学2019-2020年优秀班主任,独立获奖人,北京大学,2020

8. 北京大学优秀工会积极分子,独立获奖人,北京大学,2020

 

科研项目

1. 有限随机交织研究,国家自然科学基金委员会,面上项目,12271010,主持,2023-01-2026-12(在研)

2. 带有边界条件的扩散限制凝聚模型(DLA) 研究,国家自然科学基金委员会,青年科学基金项目,11901012,主持,2020-01-2022-12

3. 部分可观测马尔科夫过程的随机规划算法,国家重点研发计划,科技创新2030“新一代人工智能”重大项目(课题),2018AAA0101004,参与(骨干),2019.12-2022.12

4. 粒子系统与渗透模型,国家重点研发计划,重大项目(课题),2020YFA0712902,参与(骨干),2020-12-2025-11(在研)

5. 国家自然科学基金委员会,专项项目,82041023,参与,2020-03-2022-03

6. 面向儿童脑发育障碍性疾病的神经机制建模与辅助诊疗算法,国家自然科学基金委员会,国家自然科学基金数学天元基金-数学与医疗健康交叉重点专项, 12026606,参与,2021-01-2021-12,

7. 中国疾病预防控制中心委托“中国新型冠状病毒(新冠)疫苗优先使用策略模型研究”, 参与,2020/11-2020/12


教改项目

1. 《测度论》,太阳成集团122cc官网入口“教改专项”项目-英才班数学课建设,太阳成集团122cc官网入口,参与(课程负责人),2021-2022学年

 

科研发表

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. Procaccia, E. B., & Zhang, Y. (2020). On covering monotonic paths with simple random walk. Electronic Journal of Probability, 25, 1-39. https://doi.org/10.1214/20-EJP545

16.  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

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

21. Procaccia, E. B., Ye, J., & Zhang, Y. (2021). Percolation for the finitary random interlacements. Alea, 18(1), 265-287. https://doi.org/10.30757/ALEA.V18-12

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.v18-5

24. 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

25. 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

26. Zhang, Y., You, C., Gai, X., & Zhou X. (2021) On the coexistence with COVID-19: estimations and perspectives. China CDC Weekly, 3(50): 1057-1061. doi: 10.46234/ccdcw2021.245

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, 1. https://doi.org/10.46298/mna.7203

28. Liu, J., Wang, Z., Zhang, Y., & Zhou, Z. (2022). Rigorous justification of the Fokker-Planck equations of neural networks based on an iteration perspective. SIAM Journal on Mathematical Analysis, 54: 1270-1312 https://doi.org/10.1137/20M1338368

29. Cai, Y., Wang, C., Zhang, Y. (2021). A multiscale stochastic criminal behavior model and the convergence to a piecewise-deterministic- Markov-process limit. Mathematical Models and Methods in Applied Sciences, 32(4): 619-645 DOI: 10.1142/S0218202522500142

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, 11, 32 (2022). https://doi.org/10.1186/s40249-022-00955-3

31. Cai, Z., Han, X., Ye, J., & Zhang, Y. (2022). On chemical distance and local uniqueness of a sufficiently supercritical finitary random interlacement. Journal of Theoretical Probability. https://doi.org/10.1007/s10959-022-01182-0

32. Cai, Z., Procaccia, E. B., & Zhang, Y. (2022). Continuity and uniqueness of percolation critical parameters in Finitary Random Interlacements. Electronic Journal of Probability. 27, 1-46. DOI: 10.1214/22-EJP824

33. Mu, Y., Procaccia, E. B., & Zhang, Y. (2022). Scaling limit of DLA on a long line segment. Transactions of the American Mathematical Society. https://doi.org/10.1090/tran/8771

34. Tan, Y., Zhang, Y., Cheng, X., Zhou, X. (2022). Statistical inference using GLEaM model with spatial heterogeneity and correlation between regions. Scientific Reports. 12:  16630 https://doi.org/10.1038/s41598-022-18775-8

35. 祁邦国, 于石成, 王琦琦, 张原, 刘楠堃, 谭枫. (2022) 我国早期新型冠状病毒肺炎疫情传染病动力学模型分析[J]. 疾病监测, 37(12):1588-1593.

36. Cai, Z., & Zhang, Y. (2023). On the exact orders of critical value in Finitary Random Interlacements. Stochastic Processes and their Applications. 159, 391-427. https://doi.org/10.1016/j.spa.2023.02.008

37. Xiong, Y., Wang, C.& Zhang Y.† (2024). Interacting particle models on the impact of spatially heterogeneous human behavioral factors on dynamics of infectious diseases. PLOS COMPUTATIONAL BIOLOGY. 20(8): e1012345. https://doi.org/10.1371/journal.pcbi.1012345

38. Han, X., Zhang, Y., & Ge, H. (2024). Cover-time Gumbel fluctuations in finite-range, symmetric, irreducible random walks on torus. Journal of Physics A: Mathematical and Theoretical. 57 285203 DOI 10.1088/1751-8121/ad591f

 

著作教材

1. 汪锋、张原著,《基于严格语音对应的苗瑶语历史比较研究》,北京大学出版社,2024,ISBN 978-7-301-34799-7

 

教学课程

1. 本科课程:数学分析(I-III)、现代数学选讲、测度论

2. 研究生课程:学术规范和论文写作(合开)

 

学术报告

1. Vertex-removal stability and the least positive value of harmonic measures,ICCM2024,2025.01.06,上海数学与交叉学科研究院,45分钟邀请报告

2. Limit of DLA on a long line segment,Workshop “Directions in Aggregation Processes”, 2023.05.01,色列理工公司,邀请报告

3. 楔形区域上DLA稳定问题研究, 中国概率统计学会第十一次全国代表大会2018.10.25-2018.10.28,西南财经大学,中会报告

4. STABILIZATION OF DLA IN A WEDGE, 第14届“马氏过程及相关论题国际学术研讨会”/The 14th Workshop on Markov Processes and Related Topics, 2018.07.16-2018.07.20,四川大学, 邀请报告