Periodicity, complexity and shifts
55 mins 55 secs,
803.21 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.91 Mbits/sec
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About this item
| Description: |
Kra, B (Northwestern University)
Tuesday 17 June 2014, 14:30-15:30 |
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| Created: | 2014-07-09 15:26 |
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| Collection: | Interactions between Dynamics of Group Actions and Number Theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Kra, B |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | A beautiful example of a global property being determined by a local one is the Morse-Hedlund Theorem; it gives the relation between the global property of periodicity for an infinite word in a finite alphabet and local information on the complexity of the word. I will discuss higher dimensional versions of this problem, and the use of local conditions on complexity to determine global properties of the configuration, and applications of this to the automorphism group of shifts. This is joint work with Van Cyr. |
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