Title	Higher-order multi-critical points in two-dimensional lattice polygon models
Creator	Prellberg, Thomas
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-09-21T16:01
Description	We introduce a deformed version of Dyck paths (DDP), where additional to the steps allowed for Dyck paths, ‘jumps’ orthogonal to the preferred direction of the path are permitted. We consider the generating function of DDP, weighted with respect to their half length, area and number of jumps. This represents the first example of a hierarchy of exactly solvable two-dimensional lattice vesicle models showing higher-order multi-critical points with scaling functions expressible via generalized Airy functions, as conjectured by John Cardy.
Extent	29 minutes
Subject	Mathematics; Combinatorics; Sequences, series, summability; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Queen Mary University of London
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-04-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0364610
URI	http://hdl.handle.net/2429/65054
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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