Zeros of truncated binomial polynomials

31 mins 47 secs,  439.60 MB,  MPEG-4 Video  480x360,  25.0 fps,  44100 Hz,  1.84 Mbits/sec
About this item
Image inherited from collection
Description: Janson, S (Uppsala)
Thursday 24 January 2008, 11:30-12:00
Zeros of Graph Polynomials
 
Created: 2008-02-07 13:48
Collection: Combinatorics and Statistical Mechanics
Publisher: Isaac Newton Institute
Copyright: Janson, S
Language: eng (English)
Credits:
Author:  Janson, S
Author:  Alex Scott
Author:  Alan Sokal
Producer:  Steve Greenham
 
Abstract: We study the set of zeros of the truncated binomial polynomials \sum_{k=0}^r \binom{n}{k} z^k and \sum_{k=r+1}^n \binom{n}{k} z^k as n and r tend to infinity with r/n converging to some number a, and show convergence of the zero sets to parts of a certain curve in the complex plane.

This is joint work with Alex Scott and Alan Sokal.
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