Christian Krattenthaler - Universite Claude-Bernard Lyon-I
Exact and asymptotic enumeration of watermelons with a wall interaction
I consider an instance of the vicious walker model of MichaelFisher, proposed by Owczarek, Essam and Brak, in which their is aninteraction of the walkers with a fixed wall. I show how to completelysolve the problem of determining the asymptotic behaviour of thecorresponding partition function (and of another interesting parameter).In the course of doing that, we shall meet some of my dear friends:determinants, a tableau bijection, and hypergeometric series.