主 讲 人：张宇  Colorado大学数学系

时间地点：  

          6月25日  09:00-11:00             教二101

          6月25日  14:00-16:00             教二318

          6月29日、7月09日   14:00-16:00   教二410a

          6月30日、7月10日   09:00-11:00   教二410a

          6月30日  14:00-16:00             教二402

          7月09日  09:00-11:00             教二318

主    办：数学科学学院

摘    要： This course will cover two topics.

  1) Directed First Passage Percolation. Consider the square lattice. For each edge e,  we assign independently a time t(e) with a distribution F. we denote by  the passage time from the origin to  by a directed path. In this topic,  

we will discuss with the three behaviors of the limit of :

   (i)  If ,  for all  ;

   (ii)  If ,  iff ;

   (iii)  If , then there exists a percolation cone  such that  iff .

In addition, we will present many conjectures in this field.

  2) The Concentration with a Moment Condition in First Passage Per- colation. Consider the lattice. We denote by the passage time from the origin to  by any path. With a moment condition, we will investigate the concentration of  from its mean. More precisely, if , then With this concentration estimate, we will discuss the rate of convergence of from its mean.