Title	Lower-tail of the KPZ equation via Coulomb gas
Creator	Tsai, Li-Cheng
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-08-28T10:01
Description	We establish a Large Deviation Principle (LDP) for the lower-tail of the Kardar-Parisi-Zhang (KPZ) equation with narrow wedge initial condition. Our analysis exploits an exact connection between the KPZ one-point distribution and the Airy Point Process (PP). The latter is a semi-infinite particle system arises at the spectral edge the Gaussian Unitary Ensemble. We develop the LDP for the Airy PP, with an explicitly rate function written in terms of electrostatic energy. From this rate function, we solve a variational problem to obtain the exact lower-tail LD rate function of the KPZ equation.
Extent	30.0
Subject	Mathematics; Partial differential equations; Probability theory and stochastic processes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Columbia University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377355
URI	http://hdl.handle.net/2429/69113
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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