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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
Creator
Dauvergne, Duncan
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2020-09-17T10:16
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.
Extent
29.0 minutes
Subject
Mathematics; Probability theory and stochastic processes; Combinatorics
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Princeton University
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2021-03-17
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0396126
URI
http://hdl.handle.net/2429/77530
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Researcher
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International