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Heat content on the Heisenberg group Wang, Jing
Description
In this talk we study small time asymptotic of the heat content for a smoothly bounded domain with non-characteristic boundary in the Heisenberg group, which captures geometric information of the of the boundary including perimeter and the total horizontal mean curvature of the boundary of the domain. We use probabilistic method by studying the escaping probability of the horizon- tal Brownian motion process that is canonically associated to the sub-Riemannian structure of the Heisenberg group. This is a joint work with J. Tyson.
Item Metadata
Title |
Heat content on the Heisenberg group
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-09-10T09:59
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Description |
In this talk we study small time asymptotic of the heat content for a smoothly
bounded domain with non-characteristic boundary in the Heisenberg group, which
captures geometric information of the of the boundary including perimeter and the
total horizontal mean curvature of the boundary of the domain.
We use probabilistic method by studying the escaping probability of the horizon-
tal Brownian motion process that is canonically associated to the sub-Riemannian
structure of the Heisenberg group. This is a joint work with J. Tyson.
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Extent |
28.0
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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 Illinois at Urbana Champaign
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Series | |
Date Available |
2019-03-22
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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 |
10.14288/1.0377310
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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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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International