Jean Francois Le Gall教授的课堂围绕离散随机模型，分别对大随机树图的渐进和随机几何图像的先进理论进行阐述。他通过大量丰富的图像、示例、证明，带领营员们依次学习了高尔顿-沃森树（系谱模型）、高度的渐进、轮廓函数的渐近性、ER模型（随机图像中最简单的模型）、BA模型（利用优先连接机制生成无标度随机网络的算法）等内容。
虽然只有短短一个小时的课堂，营员们却大呼“干货满满”。Jean Francois Le Gall教授还提出了系列问题，供营员们讨论以加强对课程内容的理解。有的营员还特别询问了教授的联系方式，希望深入向他请教学术问题。
讲座上，孙贤和教授带领营员们回顾了可扩展计算的三个定律：阿姆达尔定律(Amdahl's Law)、古斯塔夫森定律(Gustafson's Law)和孙-倪定律（Sun-Ni's Law），并讨论它们在大数据时代的启示和影响。当谈到计算机数据处理提速的理论和影响时，他幽默地表示，当你的CPU承载不住大数据计算，就会很悲惨。
In addition to plenary sessions, which provide opportunities for young people who have scientific enthusiasm to learn from world-class scientists, the 2019 Asian Science Camp also includes parallel lectures covering different fields for campers to choose based on their interests. These lectures enable campers to dive deeper into scientific research.
In the afternoon on July 30th, Prof. Jean Francois Le Gall, who won the Wolf Mathematics Prize in 2019, Prof. Xian-He Sun, the past Chairman of the Department of Computer Science at IIT and IEEE fellow, and Prof. Liang Xiaoyan, the professor of Shanghai Institute of Optics and Fine Mechanics (SIOM) delivered their lectures separately in GTIIT classrooms with the topics of discrete random model, computer data processing as well as ultra-intense and ultra-short lasers and application.
Discrete Random Model
Prof. Jean Francois Le Gall's lecture focused on discrete random models explained the theoretical studies in asymptotics for large random trees and graphs as well as the recent advances in the theory of random geometry. He used images, examples and proof to help campers understand the Galton-Watson trees (modelling genealogies), asymptotics of height and counter function, Erdős–Rényi model (the simplest model of a random graph), Barabási–Albert model (generating random scale-free networks using a preferential attachment mechanism), etc.
The one-hour lesson was filled with substantial contents. After the course, Prof. Jean Francois Le Gall left a series of question for camper to further understand what had been taught. Some campers also asked for the contact of the professor for further academic discussion.
After the professor answered the last question, enthusiastic campers from Thailand sent the gifts prepared by themselves to the professor, took photos together, and received signature from the professor.
From Amdahl's Law to Big Data
During the lecture, Prof. Xian-He Sun reviewed Amdahl's law and Gustafson's law and discussed the inspiration and impact in the age of big data. He talked about the theory of computing speedup and its influence humorously, "When your CPU cannot stand the big data computing, it would be miserable."
Sun-Ni's Law, including Amdahl's law and Gustafson's law, were regarded as the three laws in scalability computing. Prof. Xian-He Sun came up with Sun-Ni's Law, which uses Memory Hierarchy to reduce blocks and other problems to during information processing. "Of course, a faster computer is never fast enough." Prof. Xian-He Sun said humbly.
Ultra-intense and Ultra-short lasers and application
In the lecture, to start up, Professor Liang showed the campers some backgrounds of her team, which achieved high energy amplification for the highest peak power of 10 PW in the research of the Shanghai Ultra-intense and Ultra-short laser facility in 2017. Then, she explained the profound laser theories in simple language for campers about the development process and high intensity and short width. She analyzed the advantages of applying laser in cancer treatment and X-ray and showed the future development of it. Professor Liang pointed out that with the development of technology and the improvement of the output power of laser, its application area will continue to expand, including the industrial field, medical field, scientific research field and so on. "Science is not only meaningful but also interesting." At the end of the lecture, Professor Liang encouraged students to be active, creative, don't be afraid to ask questions and keep improving themselves in the future.
It's very impressive to see the insistence of the scientist on computing speedup.
-ASAKO KITAI (Japan)
The process of theory innovation on the basis of former laws is very inspiring. For me, this is very important.
——Qian Sihan (China)
Text by ASC 2019 Media group (Chen Ke, Zhang Zihan, Zeng Jiayi)
Photos by ASC 2019 Media group (Xu Yue)
Text edited by GTIIT News and Public Affairs, ASC 2019 Media group (Chen Yutian)
Photos edited by STU News Center