Event Type:

REU Colloquium

Date/Time:

Thursday, August 6, 2020 - 13:00 to 13:45

Location:

Zoom - Email Holly for Link

Guest Speaker:

Thomas Morrill

Institution:

Trine University

Abstract:

We examine a recursive sequence in which s_n is a literal description of what the binary expansion of the previous term s_{n−1} is not. By adapting a technique of Conway, we determine limiting behavior of \{s_n\}_{n=1}^\infty and dynamics of a related self-map of 2^{\NN}. Our main result is the existence and uniqueness of a pair of binary sequences, each the compliment-description of the other.