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Heat trace asymptotics for equiregular sub-Riemannian manifolds Inahama, Yuzuru
Description
We study a "div-grad type" sub-Laplacian with respect to a smooth
measure and its associated heat semigroup on a compact equiregular sub-
Riemannian manifold. We prove a short time asymptotic expansion of the
heat trace up to any order. Our main result holds true for any smooth
measure on the manifold, but it has a spectral geometric meaning when
Popp's measure is considered. Our proof is probabilistic. In particular,
we use S. Watanabe's distributional Malliavin calculus.
Item Metadata
| Title |
Heat trace asymptotics for equiregular sub-Riemannian manifolds
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
| Date Issued |
2018-09-11T10:05
|
| Description |
We study a "div-grad type" sub-Laplacian with respect to a smooth
measure and its associated heat semigroup on a compact equiregular sub-
Riemannian manifold. We prove a short time asymptotic expansion of the
heat trace up to any order. Our main result holds true for any smooth
measure on the manifold, but it has a spectral geometric meaning when
Popp's measure is considered. Our proof is probabilistic. In particular,
we use S. Watanabe's distributional Malliavin calculus.
|
| Extent |
25.0
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Kyushu University
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| Series | |
| Date Available |
2019-03-21
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0377316
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
|
| Scholarly Level |
Faculty
|
| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International