Analysis of complex systems related to fractional random fields

与分数随机场相关的复杂系统分析

• 批准号: 263899-2012
• 负责人: Balan, Raluca
• 金额: $ 0.87万
• 依托单位: University of Ottawa
• 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=525602
• 关键词: Analysis; complex; systems; related; fractional

This proposal will use novel mathematical techniques for analyzing the behavior of complex systems which evolve randomly in space and time, whose underlying structure is determined by a random field, and in particular, a random fractal. Random fields are useful tools for modeling spatial-temporal phenomena in physics, engineering, environmental sciences, and medical imaging. The proposal will contain projects related to the following two areas: (I) stochastic analysis; (II) limit theorems.

该提案将使用新的数学技术来分析复杂系统的行为，这些系统在空间和时间上随机演化，其基本结构由随机场，特别是随机分形决定。随机场是物理学、工程学、环境科学和医学成像中建模时空现象的有用工具。该提案将包括与以下两个领域有关的项目：（一）随机分析;（二）极限定理。