Spectral Theory of Regular Sequences

Spectral Theory of Regular Sequences

Fields Institute via YouTube Direct link

Intro

1 of 16

1 of 16

Intro

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Spectral Theory of Regular Sequences

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

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