Ergodic Theory Over ${\F}_2[[T]]$
  In cryptography and coding theory, it is important to study the pseudo-random sequences and the ergodic transformations. We already have the 1-Lipshitz ergodic theory over ${\Z}_2$ established by V. Anashin and others. In this paper we present an ergodic theory over ${\F}_2[[T]]$ and some ideas which might be very useful in applications. 
Dongdai Lin, Tao Shi, and Zifeng Yang
math.CO