Stochastic particle systems and stochastic partial differential equations: Large scale behaviour

随机粒子系统和随机偏微分方程：大尺度行为

• 批准号: 203087-2007
• 负责人: Quastel, Jeremy
• 金额: $ 2.62万
• 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: 2009
• 资助国家: 加拿大
• 起止时间: 2009-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=423808
• 关键词: Stochastic; particle; systems; stochastic; partial

The researcher will investigate the behaviour of large interacting stochastic systems. For example, partial differential equations are used as models throughout the sciences, but are often an approximation of discrete many body systems. One would like to know how the discreteness and randomness, which are really present, will affect the systems on a large scale. To do this one has to develop methods for the analysis of such systems with effectively infinitely many degrees of freedom.

研究人员将研究大型相互作用随机系统的行为。 例如，偏微分方程在整个科学中被用作模型，但通常是离散多体系统的近似。 人们想知道离散性和随机性，这是真正存在的，将如何影响大规模的系统。 要做到这一点，人们必须发展的方法，分析这种系统的有效无限多自由度。