Combinatorics Reading Seminar: Introduction to Ewens sampling formula

Seminar | October 1 | 11:10 a.m.-12:10 p.m. | 748 Evans Hall

 Sebastian Hummel, Bielefield

 Department of Mathematics

I will give a brief introduction to the setup of Ewens sampling formula in the context of population genetics. The main aim will be to prove the formula using the combinatorial arguments of Griffiths/Lessard. Finally, if time permits, I explain Feller's construction to generate random permutations weighted by the number of their cycles.