Title	Course #2: An introduction to the kernel method
Creator	Rechnitzer, Andrew
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-09-18T10:47
Description	The kernel method has become one of the standard tools for solving lattice path enumeration problems. I will start by introducing the method in the context of constrained 1-dimensional random walks and simple polymer models. When we move up to 2 dimensions, the generating functions of random walk models can display a very broad range of analytic properties. In this context the kernel method becomes much richer and I will demonstrate a few of the ways in which it may be applied. Along the way I will give a few "warm-up" exercises and finish with a few open problems concerning more interacting boundary conditions.
Extent	74 minutes
Subject	Mathematics; Combinatorics; Sequences, series, summability; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of British Columbia
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-03-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0364590
URI	http://hdl.handle.net/2429/65035
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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