Dynamical Systems Seminar

Title: The Hallways Problem and Sturmian Sequences
Speaker: Jason Siefken
Speaker Info:
Brief Description:
Special Note:

The doorways problem considers adjacent parallel hallways of unit width each with a single doorway (aligned with integer lattice points) of unit width. It then asks, what are the properties of lines that pass through each doorway? Configurations of doorways closely correspond to Sturmian words, and so properties of these configurations may be lifted to properties of Sturmian words. This talk will explore lines of sight, lines that pass through each doorway, for both the case of a finite number of parallel hallways and an infinite number and their consequences for Sturmian words. We then produce a metric on configurations with an infinite number of hallways that preserves the property of admitting a line of sight under limits.
Date: Tuesday, January 31, 2017
Time: 4:00pm
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: kra@math.northwestern.edu
Contact Phone: 847-491-5567
Copyright © 1997-2024 Department of Mathematics, Northwestern University.