Non-commutative approach to the recurrence of Boole's map
王俊超教授University of Saskatchewan, Canada 下午 2:30–5:00 Tòa nhà Hồng Kinh 107 室Abstract:
Everybody knows George Boole and his theory of mathematical logic for sure, but not many know that he actually discovered a measure-preserving map (called Boole's map) way before Lebesgue's integration theory came out in 1902. We will discuss a noncommutative probability approach to the infinite ergodic theory of Boole's map. The main result here is a sufficient condition for the recurrence and ergodicity of Boole type transformations on the real line.