Minkowski Content for Brownian cut points

  • 报告人: 李欣意博士
  • 报告人单位: 芝加哥大学
  • 报告地址: 数学学院东409
  • 报告时间: 9月12日下午4点到5点
  • 主题摘要:
Consider 2 or 3-dimensional Brownian motion. We prove that the Minkowski content of the set of its cut points is a.s. finite and non-trivial. If time permits, I will also explain how we identify the Minkowski content with the scaling limit of the counting measure of pivotal points for percolation on the triangular lattice in the 2-dimensional case. This is a joint project with Nina Holden, Greg Lawler and Xin Sun.