女王调教

Bias phenomenon in integer partitions
报告人:李吉有教授,上海交通大学 时间:2025年09月11日14:00 字号:

报告地点:行健楼学术活动室526

报告人简介:

李吉有,北京大学博士,上海交通大学女王调教 教授、博士生导师,上海交通大学凯原十佳教师获得者,主要研究领域为数论及其应用、代数组合、代数编码理论等。曾任麻省理工*女王调教-女王调教视频-女王 调教小说访问副教授 (2015-2016)。发表学术论文二十余篇,著有数学科普书《数学的天空》。

报告摘要:

Partitions with restricted parts in many different settings have been extensively studied. An interesting new subject is the study of the bias phenomenon, which focuses on the tendency of some parts to appear more frequently than others in the partitions. Quantitative and qualitative research have been carried out on such phenomena. In this talk, we will show how to explicitly measure the biases of the appearance of parts from two certain finite sets. We also address a problem of Stanley concerning explicit bijections between partitions into restricted (distinct and bounded) parts of a number divisible by n and binary necklaces of n heads. Joint work with Sicheng Zhao and Yanghongbo Zhou.


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