Title	Positive catalytic and non-catalytic polynomial systems of equations
Creator	Drmota, Michael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-09-20T11:02
Description	Several combinatorial objects (including several types of random walks) have a recursive combinatorial description that leads to a (system of) functional equation(s) for the corresponding counting generating function, where the right hand side of the equation has non-negative coefficients; sometimes there also appears a catalytic variable, for example for random walks restricted to some region or for the enumeration of planar maps. The purpose of this talk to show that the positivity condition leads to universal asymptotic properties of the underlying counting problem.
Extent	28 minutes
Subject	Mathematics; Combinatorics; Sequences, series, summability; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Technische Universitaet Wien
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	10.14288/1.0364602
URI	http://hdl.handle.net/2429/65046
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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