Dynamical Systems Seminar

Title: Characterizing substitution minimal sets
Speaker: Andrew Dykstra
Speaker Info: Hamilton College
Brief Description:
Special Note:

It is well known that a doubly-infinite sequence of 0's and 1's belongs to the Morse minimal set if and only if it does not contain any word of the form BBb, where b is the first letter of B. In 2008, Ethan Coven, Mike Keane, and Michelle LeMasurier found a similar characterization of the Toeplitz minimal set and gave necessary and sufficient conditions for a minimal subshift to be topologically conjugate to Morse or Toeplitz. In this talk, we characterize a broad new class of constant-length substitutions up to topological conjugacy. The substitutions we consider include all constant-length examples from Gottschalk's seminal 1963 paper.
Date: Tuesday, March 15, 2011
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Van Cyr
Contact email: cyr@math.northwestern.edu
Contact Phone: 847-491-8535
Copyright © 1997-2024 Department of Mathematics, Northwestern University.