Reading Seminar on Random walk (Spring 2024)
Time: 9:30-11:30 each Saturday generally.
Location：Online Tencent Meeting ID: 533 769 7016.
Organizer： Yuxuan Zong（宗语轩）and Kaihao Jing（荆楷豪）.
Introduction: Random walk is a fundamental model in modern probability theory, and many of the content and ideas covered in it will be helpful for future research in pure probability. This reading seminar is devoted for a conprehensive understanding of Random walk and related topics.
Reference:
[LL10] Lawler, G.F. and Limic, V., 2010. Random walk: a modern introduction (Vol. 123). Cambridge University Press.
[LL13] Lawler, G., 2013. Intersections of Random Walks, Birkhäuser.
Schedule:
24, Feb. Yuxuan Zong（宗语轩）, Introduction，LCLT and characteristic function approach, [LL10] Chapter 1, Section 2.1-2.3.
2, Mar. Yichen Hu（胡熠辰）, Some Corollaries of the LCLT and combinatorial approach, [LL10] Section 2.4-2.5.
9, Mar. Guangyi Zou（邹广翼）, Approximation by Brownian motion, [LL10] Chapter 3.
16, Mar. Luokai Li（李泺铠）, The Green's function, [LL10] Section 4.1-4.5.
23, Mar. Zhantao He（何展韬）, The Green's function for a set and One-dimensional walks, [LL10] Section 4.6, Chapter 5.
30, Mar. Xiaoyu Wang（王效禹）, Dirichlet problem and estimate, Capacity, [LL13] Section 1.4, 1.7-2.2.
20, Apr. Jingbei Song（宋京倍）, Harmonic measure, DLA, [LL13] Section 2.3-2.6.
27, Apr . Ruiqi Ding（丁瑞祺）, Dyadic coupling, [LL10] Chapter 7.
12, May . Yuxuan Zong（宗语轩）, Intersection Probabilities, [LL13] Chapter 3.