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Zeros of truncated binomial polynomials

Presented by: 
S Janson [Uppsala]
Date: 
Thursday 24th January 2008 - 11:30 to 12:00
Venue: 
INI Seminar Room 1
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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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons