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Critical exponent and spectrum in negative curvature Tapie, Samuel
Description
A famous theorem of Patterson and Sullivan shows that, on hyperbolic manifolds, the bottom of the spectrum of the Laplacian is related to the dynamics of the fundamental group via its critical exponent. In this talk, we will give an alternative simple proof of Patterson-Sullivan theorem, and we will explain which new insights it gives to the relationship between dynamics and bottom of the spectrum in negative curvature.
Item Metadata
| Title |
Critical exponent and spectrum in negative curvature
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-12-13T16:30
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| Description |
A famous theorem of Patterson and Sullivan shows that, on hyperbolic manifolds, the bottom of the spectrum of the Laplacian is related to the dynamics of the fundamental group via its critical exponent.
In this talk, we will give an alternative simple proof of Patterson-Sullivan theorem, and we will explain which new insights it gives to the relationship between dynamics and bottom of the spectrum in negative curvature.
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| Extent |
31 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Université de Nantes
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| Series | |
| Date Available |
2017-06-13
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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 |
10.14288/1.0348234
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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