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Computability of Mandelbrot-like sets Rojas, Cristóbal
Description
One of the most important open problems in computable complex dynamics is whether the Mandelbrot set can be computed with arbitrary precision. We will review what is known about this question, and present a recent negative result for a Mandelbrot-like set associated with a one-parameter cubic (instead of quadratic) family. This is joint work with Coronel and Yampolsky.
Item Metadata
Title |
Computability of Mandelbrot-like sets
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-12-08T16:35
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Description |
One of the most important open problems in computable complex dynamics is whether the Mandelbrot set can be computed with arbitrary precision. We will review what is known about this question, and present a recent negative result for a Mandelbrot-like set associated with a one-parameter cubic (instead of quadratic) family.
This is joint work with Coronel and Yampolsky.
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Extent |
34 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Universidad Nacional Andres Bello
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Series | |
Date Available |
2017-06-09
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0348169
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International