We continue our study of basic ergodic theorems, establishing the maximal and pointwise ergodic theorems of Birkhoff. Using these theorems, we can then give several equivalent notions of the fundament… more →
What's newwrote 4 months ago: — 1. Introduction — One can argue that (modern) ergodic theory started with the ergodic … more →
wrote 1 year ago: This composite image illustrates both methods used to track dye molecules through the channels in th … more →
wrote 2 years ago: Throughout is an ineteger, and is an matrix with entries in Definition 1. The complex conjugate of … more →
wrote 5 years ago: We continue our study of basic ergodic theorems, establishing the maximal and pointwise ergodic theo … more →