Frontiers in Topological Dynamics: Theory, Applications, and Interdisciplinary Connections

 Organizer(s):
Name:
Affiliation:
Country:
Guohua Zhang
Fudan University, School of Mathematical Sciences
Peoples Rep of China
Wen Huang
University of Science and Technology of China, School of Mathematical Sciences
Peoples Rep of China
Song Shao
University of Science and Technology of China, School of Mathematical Sciences
Peoples Rep of China
 Introduction:  
  Topological dynamics is an important branch analyzing complex phenomena that arise from the interaction between topological structures and dynamical evolution. Its capacity to characterize qualitative behaviors of dynamical systems — such as stability, chaos, and long-term patterns — has led to many interesting applications in geometry, number theory, statistical physics, and beyond. The purpose of the special session aims to bring together people working on different aspects of this topic. The session will focus on both classical and modern aspects of the field, including symbolic dynamics, minimal systems, entropy theory, recurrence properties, ergodic theory, chaos theory, and connections to geometric or measurable dynamics. The session will particularly encourage contributions that explore links between topological dynamics and related fields, such as operator algebras, fractal geometry, or machine learning.