Stability and Complexity: New insights from Random Matrix Theory

稳定性和复杂性：随机矩阵理论的新见解

• 批准号: DE210101581
• 负责人: Dr Jesper Ipsen
• 金额: $ 8.84万
• 依托单位: The University of Melbourne
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Early Career Researcher Award
• 财政年份: 2021
• 资助国家: 澳大利亚
• 起止时间: 2021-02-01 至 2022-09-01
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DE210101581
• 关键词: Stability; Complexity; New; insights; Random

Complexity is a rule of nature: large ecosystems, the human brain, and turbulent fluids are merely a few examples of complex systems. This project aims to study and classify criteria of stability in large complex systems based on universal probabilistic models. This project expects to generate new important understanding of stability using cutting-edge techniques from random matrix theory. Expected outcomes of this project include development and expansion of an innovative mathematical framework and techniques which allow a unified and universal approach to the question of stability in large complex systems.

复杂性是自然规律：大型生态系统、人类大脑和湍流只是复杂系统的几个例子。本课题旨在研究和分类基于普遍概率模型的大型复杂系统的稳定性准则。该项目期望利用随机矩阵理论的前沿技术对稳定性产生新的重要认识。该项目的预期成果包括发展和扩展创新的数学框架和技术，从而对大型复杂系统的稳定性问题采用统一和通用的方法。