The critical behaviour of random systems

随机系统的临界行为

• 批准号: 9351-2012
• 负责人: Slade, Gordon
• 金额: $ 3.72万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=592969
• 关键词: critical; behaviour; random; systems

Mathematical models such as the self-avoiding walk and percolation are of considerable interest in statistical mechanics, probability theory, and combinatorics. These models have been studied for about half a century, and remain a fascinating source of problems for mathematicians. They have also been studied by physicists and chemists, as models of polymer molecules and of phase transition. Their significance for mathematics is currently greater than ever, and the subject is flourishing.

数学模型，如自避行走和渗流是相当大的兴趣，在统计力学，概率论和组合。这些模型已经被研究了大约半个世纪，并且仍然是数学家们的一个迷人的问题来源。它们也被物理学家和化学家研究，作为聚合物分子和相变的模型。它们对数学的重要性目前比以往任何时候都要大，这一学科正在蓬勃发展。