REU Site: Discrete Random Structures

这个为期三年的项目“离散随机结构”将使首席研究员Anant Godbole能够通过每年带领八名学生进行一系列当代和高水平的研究工作来巩固他对本科生研究的参与，每项研究都旨在说服参与者他们可能以有意义的方式为数学领域的发展做出贡献。团队成员的问题，虽然产生于组合学等领域；数论;图论;几何;算法;分子生物学，将有一个随机的味道，所以解决方案将通过使用当代概率和经典分析的方法来寻求。参与者将在全国范围内进行筛选，并将于夏季在东田纳西州立大学学习两个月。根据首席研究员过去12年的跟踪记录，可以预测学生研究人员平均每人将研究两个问题，无论是单独的还是两人或更多的团队，并且能够在这些努力中至少有一个取得重大进展。学生们的研究成果将在诸如AMS/MAA年会之类的全国性会议上发表，或者在精心挑选的概率/组合学会议上发表。与过去一样，我们将尽一切努力将学生的论文提交给可能发表的高水平期刊。我们希望从范围广泛的学院和大学中选拔学生，并完全致力于大力招收女性、少数民族和残疾学生。

This three-year project "Discrete Random Structures" will enable the Principal Investigator, Anant Godbole, to consolidate his involvement with undergraduate research by leading eight students each year in a series of contemporary and high-level research endeavours, each designed to convince the participants that they may contribute in a meaningful way to the development of the field of mathematics. The team-members' problems, while emanating in areas such as combinatorics; number theory; graph theory; geometry; algorithms; and molecular biology, will have a stochastic flavor -- so that solutions will be sought through the use of methods in contemporary probability and classical analysis. The participants will be selected after a nationwide search, and will spend two months at East Tennessee State University during the summer. Based on the Prinicipal Investigator's track record over the last twelve years, it can be predicted that the student researchers will each work on an average of two problems, either individually or in teams of two or more, and be able to make significant progress on at least one of these endeavors. The students' findings will be presented at national meetings such as the Annual AMS/MAA Meeting, or at a carefully selected Probability/Combinatorics conference. As in the past, every effort will be made to submit the students' papers to high-level journals for possible publication. We expect to select students from a broad range of colleges and universities, and are totally committed to the vigorous recruitment of women, minorities and disabled students.