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PIMS Summer School in Probability 2015

PIMS Summer School in Probability 2015
2015 年 PIMS 概率暑期学校
批准号:
1460646
负责人:
Sreekalyani Bhamidi
金额:
$2.7万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-03-15 至 2016-02-29

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中文摘要
翻译
这笔旅行补助金支持美国学生参加2015年太平洋数学科学研究所(PIMS)概率暑期学校,该暑期学校将于2015年6月15日至7月11日在蒙特利尔麦吉尔大学举行。该学院致力于培养概率领域的博士生。它预计将有一些高级本科生、新近的博士生和一些正规的教职员工参加。2015年PIMS暑期学校是研究生和初级研究人员从该领域的顶尖专家那里学习现代概率理论中一些最活跃的研究领域的绝佳机会。初级参与者通常是当前和未来的学术人员,能够在研究社区进一步传播这些基本技术的知识。PIMS概率暑期学校于2004年推出,在发展北美特别强大的概率学家社区方面发挥了突出作用,并在促进参与者之间的长期合作方面有良好的记录。学员将学习概率论中一些最活跃领域的最新技术,包括随机矩阵理论及其与自由概率和地图计数的联系,临界点附近的高维渗流和标度指数,关键随机结构的连续统标度极限及其与概率组合优化和随机网络上扩散的动态模型的联系,以及通过增加随机性实现偏微分方程的稳定化。预计与会者将就主要课程和相关领域涵盖的一些主题进行积极研究。会议的完整描述可在以下网址找到:http://problab.ca/ssprob2015/index.php
英文摘要
This travel grant supports the participation of U.S.-based students in the 2015 Pacific Institute for the Mathematical Sciences (PIMS) Summer School in Probability, to be held at McGill University in Montreal, June 15- July 11, 2015. The school is devoted to training of doctoral students in the area of probability. It anticipates some participation of advanced undergraduate students, recent Ph.D.s, and also some regular faculty. The PIMS Summer School 2015 is a fantastic opportunity for graduate students and junior researchers to learn about some of the most active research areas in modern probability theory from top experts in the field. The junior participants are often current and future academic faculty, able to spread the knowledge of these fundamental techniques further in the research community. The PIMS probability summer schools, launched in 2004, play an outstanding role in the development of an exceptionally strong community of probabilists in North America and have a proven track record of fostering long term collaborations between the participants. The participants will learn current techniques in some of the most active areas of probability theory, including random matrix theory and its connection to free probability and enumeration of maps, high dimensional percolation and scaling exponents near criticality, continuum scaling limits of critical random structures and their connection to probabilistic combinatorial optimization and dynamic models of diffusion on random networks as well as stabilization of partial differential equations via the addition of randomness. It is expected that the participants will engage in active research on some topics covered by the main courses and related areas.A complete description of the conference can be found at:http://problab.ca/ssprob2015/index.php
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会议论文
Dynamic network models: Entrance boundary and continuum scaling limits, condensation phenomena and probabilistic combinatorial optimization
Collaborative Research: Specification and Estimation of Exponential Family Random Graph Models for Weighted Networks
Structural properties of random tree models and their applications in network flows, brain circulation networks and statistical physics
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