Skip to content

CSM

Seminar

Asymptotic enumeration of contingency tables

Greenhill, C (New South Wales)
Tuesday 25 March 2008, 14:00-14:30

Seminar Room 1, Newton Institute

Abstract

Contingency tables are nonnegative integer matrices with given row and column sums. Such matrices appear in many combinatorial contexts and have applications in statistics. There has been a lot of work on efficient algorithms for approximately counting these matrices using Markov chains or dynamic programming.

Asymptotic formulae for these matrices have recently been obtained for sufficiently sparse matrices (Greenhill & McKay) and for sufficiently dense matrices when all row sums are equal and all column sums are equal (Canfield & McKay). I will discuss these results and ask whether they provide a practical method for approximate counting.

Joint work with Brendan McKay.

Presentation

[pdf ]

Audio

MP3MP3

Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧