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Instructor:
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Jon Fickenscher
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Meeting Times:
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M 4:20pm-6:20pm
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Room:
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Fine 1001
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Office Hours:
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Fine
1104
M 3:00pm-4:00pm
and by appointment
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Main Course Page:
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Available on BlackBoard
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Lectures:
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Current Draft: 2014-05-15
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Contents
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1.1:
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Definitions
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1.2:
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Measure Theory
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1.3:
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Ergodicity and Generic Points
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1.4-1.5:
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Substitutions and Primitivity
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2.1:
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Morse Sequence – Combinatorial Properties
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2.2:
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Morse Shift – Invertibility
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2.3:
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Morse Shift – Rokhlin Stacks 1
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2.4:
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Unitary Operators and Spectrum
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2.5:
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Morse Shift – Rokhlin Stacks 2
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2.6:
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The Dyadic Rotation
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2.7:
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Two-Point Extension of the Morse Shift
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2.8:
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Automata and the Rudin-Shapiro Sequence
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2.9:
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The Unique Ergodicity of Primitive Substitutions
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2.10-2.11:
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Fibonacci Subsitution
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2.12:
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Chacon Sequence
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3.1:
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Frequency and Minimality of Sturmian Sequences
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3.2:
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Basic Properties of Sturmian Sequences
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