Digits, distributions, and rigidity in dynamical systems

动力系统工具和技术是现代科学和技术所不可或缺的，因为它们能够对从空间飞行到细胞生长到经济冲击的各种过程进行准确建模。动力系统的广泛范围和由它们产生的大量数据使得它们的定量和计算方面的研究成为一个重要的研究领域。在这方面，拟议的方案将以几种方式作出贡献。研究主题可以大致分组，因为它们分别与数字，分布和刚性有关。

Dynamical systems tools and techniques are indispensable to modern science and technology as they enable accurate modelling of processes ranging from space flight to cell growth to economic shocks. The wide scope of dynamical systems and the vast amounts of data generated by them have made the study of their quantitative and computational aspects an important research area. To this area the proposed program will contribute in several ways. The research topics can roughly be grouped as they relate, respectively, to digits, distributions, and rigidity.