Title	Winding angles of simple walks on Z^2
Creator	Budd, Timothy
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-09-20T09:02
Description	A method will be described to determine generating functions for certain classes of simple walks on the square lattice, while keeping track of their winding angle around the origin. Together with a reflection principle the method can be used to count certain simple walks in wedges of various opening angles, and this is shown to lead in particular to a new proof of the counting of Gessel excursions. If time permits, I'll discuss a connection with the enumeration of planar maps and O(n) loop models.
Extent	57 minutes
Subject	Mathematics; Combinatorics; Sequences, series, summability; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université Paris-Saclay
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-03-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0364600
URI	http://hdl.handle.net/2429/65044
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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