03P58Professor TRINH, Khanh DuyRepeatedly tossing a coin with two faces: Head or Tail many times, how many Heads will be observed? The frequency of Heads which is random converges to a deterministic limit equal to the probability of Head in one toss, as the number of tosses goes large and large. After normalization, the number of Heads is approximated by the normal distri-bution. These phenomena illustrate the two fundamental results in probability theory: the law of large numbers and the central limit theorem, or the convergence to a determinis-tic limit of random variables of interest and fluctuations around the limit. At Trinh lab, we focus on studying spectral properties of random matrix models arising from both theoretical areas and applied areas such as physics, mathematical statistics and numerical analysis, to name a few. Establish-ing the law of large numbers and the central limit theorem of random quantities of those random matrix models (in a more abstract space) is the very first step in understanding the models. Undergraduate students begin with studying basic concepts of applied proba-bility theory by reading textbooks. Graduate students get used to reading monographs and research papers on random matrix theory and aim to get some new results themselves.Message to students: Waseda University is where you can study pure math, applied math in Japanese or English.04ProfileJun. 2007. B. Sc. Hanoi University of Science, Vietnam National University Mar. 2010. M. Sc. Department of Mathematics, Graduate School of Science, Osaka UniversityJun. 2012. Ph. D. Department of Mathematics, Graduate School of Science, Osaka UniversityJul. 2012~Sep. 2013. Research Fellow of the Japan Society for the Promotion of Science.Department of Mathematics, Graduate School of Science, Osaka University Oct. 2013~Nov. 2017. Assistant Professor. Institute of Mathematics for Industry, Kyushu UniversityDec. 2017~Mar. 2019. Associate Professor. Research Alliance Center for Mathematical Sciences, Tohoku University Apr. 2019~now. Associate Professor (without tenure). Global Center for Science and Engineering, Waseda UniversityMastering concepts and tools in probability theory by doing research in random matrix theory and applications
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