- Series
- CDSNS Colloquium
- Time
- Friday, November 6, 2015 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jon Fickenscher – Princeton University – jonfick@princeton.edu – https://web.math.princeton.edu/~jonfick/index.html
- Organizer
- Michael Damron
We will consider (sub)shifts with complexity such that the difference
from n to n+1 is constant for all large n. The shifts that arise
naturally from interval exchange transformations belong to this class.
An interval exchange transformation on d intervals has at most d/2
ergodic probability measures. We look to establish the correct bound for
shifts with constant complexity growth. To this end, we give our
current bound and discuss further improvements when more assumptions are
allowed. This is ongoing work with Michael Damron.