Applied Analytic Combinatorics

应用分析组合学

• 批准号: 312582-2012
• 负责人: Mishna, Marni
• 金额: $ 1.6万
• 依托单位: Simon Fraser University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=526584
• 关键词: Applied; Analytic; Combinatorics

Combinatorial structures arising as discrete mathematical models of physical phenomena are increasingly found lurking at the interface of mathematics and other sciences, particularly physics, biology and computer science. The simplicity of the structures is deceptive, as they are often sufficiently rich to play a key role in our understanding of the underlying phenomena being studied. Analytic combinatorics is a rapidly advancing area of theory which studies combinatorial families and their properties using complex analysis and algebra. A central feature of this theory is its algorithmic and generic nature.

组合结构作为物理现象的离散数学模型越来越多地被发现潜伏在数学和其他科学的界面上，特别是物理学、生物学和计算机科学。结构的简单性是具有欺骗性的，因为它们往往足够丰富，在我们理解所研究的潜在现象方面发挥了关键作用。解析组合学是一个迅速发展的理论领域，它利用复分析和代数来研究组合族及其性质。这个理论的一个中心特征是它的算法和通用性。