Random Knotting and Lattice Paths

随机结和网格路径

• 批准号: 6272-2013
• 负责人: Whittington, Stuart
• 金额: $ 1.09万
• 依托单位: University of Toronto
• 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=592834
• 关键词: Random; Knotting; Lattice; Paths

Knot theory has played an important role in molecular biology since entanglements in DNA molecules can affect cellular processes such as replication and transcription. Much of my research is aimed at understanding the phenomenon of random knotting. I am especially interested in lattice models where combinatorial methods can be used and my aims are to understand the relative frequency of occurrence of different knot types, and to derive bounds on the knot probability.

结理论在分子生物学中起着重要作用，因为DNA分子中的纠缠会影响细胞过程，例如复制和转录。我的大部分研究旨在理解随机打结的现象。我对可以使用组合方法的晶格模型特别感兴趣，我的目的是了解不同结类型的相对频率，并在结概率上得出界限。