会议摘要(Abstract)
本次研讨会以动力系统的最新进展及其在各个领域的应用为主题。动力系统研究系统随时间的演变,是当前数学研究的一个充满活力的领域。现代动力系统理论的起源于19世纪末期庞加莱在天体力学领域的开创性工作,之后由李雅普诺夫、伯克霍夫和斯梅尔等数学家进一步推进。该领域与数论、微分几何学、概率论等其他数学分支紧密相连,并在生物学、化学、物理学、工程学、气候科学、社会科学、工业数学、数据科学等多个学科领域展现出广泛而令人瞩目的应用前景。
本次研讨会包含动力系统和遍历理论方面的专家,他们将展示各自最新的研究成果,并就当前的前沿问题进行深入探讨。报告内容将包括微分动力系统、随机动力系统、光滑遍历论以及在其它相关领域的应用。
The topic of this workshop is recent advances in dynamical systems and their applications across various fields. Dynamical systems, which study the evolution of systems that change over time, is a vibrant area of current mathematical research. The modern theory of dynamical systems traces its origins to Poincaré’s work on celestial mechanics in the late 19th century, further developed by mathematicians including Lyapunov, Birkhoff and Smale. This field is closely connected to other areas like number theory, differential geometry and probability theory, and boasts a multitude of exciting applications in biology, chemistry, physics, engineering, climate science, social science, industrial mathematics, data science and more.
This workshop is to gather experts in dynamical systems and ergodic theory to share their latest research findings and discuss cutting-edge problems. Talks will include differentiable and stochastic dynamical systems, smooth ergodic theory and other related fields with applications in applied mathematics.
举办意义(Description of the aim)
本次研讨会将聚集动力系统领域活跃的资深专家与年轻学者。研讨会旨在分享与探讨最新的研究成果,推动正在进行中的项目及产生新的合作,并为探索跨学科方法提供一个交流平台。另外,研讨会将为年轻学者提供展示其最新研究成果的机会。
The proposed workshop aims to bring together active senior and young researchers in the field of dynamical systems. This gathering provides a platform for sharing and discussing the latest research findings, fostering new and ongoing collaborations, and exploring interdisciplinary approaches. In addition, the conference will provide opportunities for young scholars to present them recent work.
Sixu Liu, Beijing Institute of Mathematical Sciences and Applications (BIMSA)