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报告题目: High dimensional probability and quantities arises from large random structures
报 告 人: 黄瀚
报告人所在单位: Georgia Institute of Technology, Hale Visiting Assistant Professor
报告日期: 2022-01-14
报告时间: 13:30—14:10
报告地点: 复旦大学光华楼东主楼2201室、腾讯会议755107231
   
报告摘要:

Abstract: Many important quantities in large random structures exhibit a strong concentration phenomenon. However, applying a general concentration inequality usually cannot derive meaningful results because often such quantities are difficult to express as a function of the structures. For example, the rank of a random matrix is difficult to be expressed as a function of its entries and may be challenging to analyze.

  

 To determine and quantify such a phenomenon, one needs to observe from the insights of the random structures and find some crucial events in which sharp non-asymptomatic estimates are obtainable. In this talk, we will discuss some works in these: the rank of random matrices,  nodal domains of random graphs, reconstruct-ability of random graphs from its local structures, and the distribution of minimal distance for random linear codes, and a classical discrete convex geometry problem in which concentration of measure approach is useful.

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本年度学院报告总序号: 389

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