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Uniform Spanning Forests and Bi-Laplacian Gaussian Field Lawler, Greg
Description
We construct the bi-Laplacian Gaussian field on $R^4$ as a scaling limit of a field in $Z^4$ constructed using a wired spanning forest. The proof requires improving the known results about four dimensional loop-erased random walk. There are similar (and somewhat easier) results for higher dimensions. This is joint work with Xin Sun and Wei Wu.
Item Metadata
Title |
Uniform Spanning Forests and Bi-Laplacian Gaussian Field
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-06-30T09:00
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Description |
We construct the bi-Laplacian Gaussian field on $R^4$ as a scaling
limit of a field in $Z^4$ constructed using a wired spanning forest.
The proof requires improving the known results about four
dimensional loop-erased random walk. There are similar
(and somewhat easier) results for higher dimensions. This is
joint work with Xin Sun and Wei Wu.
|
Extent |
57 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 Chicago
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Series | |
Date Available |
2017-01-31
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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 |
10.14288/1.0340466
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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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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International