3:00–4:20 pm Eckhart Hall, Room 202
A Descriptive Approach To Pointwise Ergodic Theorems
Abstract
Pointwise ergodic theorems provide a bridge between the global behaviour of a dynamical system and the local (combinatorial) statistics of the system at a point. These are powerful tools used in ergodic theory, probability, number theory, and other areas of mathematics. I will describe a general yet elementary approach for proving such theorems which is inspired by descriptive set theory. This approach has led to new kinds of pointwise ergodic theorems, and I will discuss those obtained in joint work with Jenna Zomback.
Event Type
May
1
