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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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A dynamical characterization of the Morse Minimal Set
by
Michelle LeMasurier
Hamilton College
Coauthors: Ethan Coven (Wesleyan), Mike Keane (Wesleyan)

The famous Morse-Thue sequence has the "no BBb" property: it contains no block of the form
b1b2...bnb1b2...bnb1.

In the early 1900s, Axel Thue showed that the set of all doubly infinite sequences having the no BBb property, called the Morse Minimal Set, is the shift orbit closure of the Morse-Thue sequence. So you can always determine whether or not a sequence is a member of the Morse Minimal Set simply by determining whether or not it has the no BBb property.

But what if you encounter a sequence that is disguised in some way-the names of the symbols have been changed in some unknown way-and you want to know whether or not this sequence is a member of a minimal set topologically conjugate to the Morse Minimal Set? I will discuss a method for determining the answer to this question, and also a method for determining membership in the Toeplitz Minimal Set.

Date received: February 28, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawy-30.