题目：Recent Progress in Singular Flows

报告人：杨帆 助理教授 (Wake Forest University)

摘要：We will discuss recent progress in the theory of singular flow. More specifically, we will focus on the ergodic theory of smooth singular star flows. Such systems can be seen as "hyperbolic flows with singularities"; among them, the most famous example is the Lorenz Attractor discovered in the 1960s. In this talk, we will consider expansiveness, continuity of the topological pressure, existence and uniqueness of equilibrium states, and their mixing properties. We will also discuss how to obtain topological information from certain ergodic properties, and present a partial answer to the spectral decomposition conjecture for singular star flows. Joint with M.J. Pacifico and J. Yang.

  报告时间：2024年7月22日（周一）下午15：00-16：00

报告地点：教二楼612

联系人：王方