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The scaling limit of the longest increasing subsequence Dauvergne, Duncan
Description
I will describe a framework for proving convergence to the directed landscape, the central limit object in the KPZ universality class. The directed landscape is a random scale-invariant `directed' metric on the plane. One highlight of this work is that the scaling limit of the longest increasing subsequence in a uniformly random permutation is a geodesic in the directed landscape. Joint work with Balint Virag.
Item Metadata
Title |
The scaling limit of the longest increasing subsequence
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2020-09-17T10:16
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Description |
I will describe a framework for proving convergence to the directed landscape, the central limit object in the KPZ universality class. The directed landscape is a random scale-invariant `directed' metric on the plane. One highlight of this work is that the scaling limit of the longest increasing subsequence in a uniformly random permutation is a geodesic in the directed landscape. Joint work with Balint Virag.
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Extent |
29.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Princeton University
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Series | |
Date Available |
2021-03-17
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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 |
10.14288/1.0396126
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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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