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On M. dim f(S^1), where f is k-quasiconformal mapping whose dilatation is supported on a sparse set Ivrii, Oleg
Description
In this talk, I will present an estimate for the dimension of a k-quasicircle which is the image of the unit circle under a k-quasiconformal mapping whose dilatation is supported on a union of horoballs located at least a hyperbolic distance R apart. The estimate is sharp up to a multiplicative constant.
To motivate the proof, I will first discuss an analogous estimate for the growth of solutions of certain parabolic PDEs given by the Feynman-Kac formula.
Item Metadata
| Title |
On M. dim f(S^1), where f is k-quasiconformal mapping whose dilatation is supported on a sparse set
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-09-20T11:45
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| Description |
In this talk, I will present an estimate for the dimension of a k-quasicircle which is the image of the unit circle under a k-quasiconformal mapping whose dilatation is supported on a union of horoballs located at least a hyperbolic distance R apart. The estimate is sharp up to a multiplicative constant.
To motivate the proof, I will first discuss an analogous estimate for the growth of solutions of certain parabolic PDEs given by the Feynman-Kac formula.
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| Extent |
30 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Helsinki
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| Series | |
| Date Available |
2017-03-22
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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 |
10.14288/1.0343299
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International