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General existence of ghost measures, I
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Classroom Contents
Spectral Theory of Regular Sequences
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- 1 Intro
- 2 k-regular sequences
- 3 Stern's sequence
- 4 How complicated are integer sequences?
- 5 Three questions...
- 6 Maximal values: the finiteness conjecture
- 7 The Zaremba sequence
- 8 General existence of ghost measures, I
- 9 Proof via relation to dilation equations
- 10 From dilation equations to iterated function systems
- 11 The IFS and ghost distribution of Zaremba's sequence
- 12 Determining the spectral type
- 13 Continuous ghost measures have a level-set construction
- 14 Example: Stern sequence
- 15 Examples: 2-Zaremba sequence
- 16 Some questions and further work
