Exact and asymptotic enumeration of watermelons with a wall interaction
I consider an instance of the vicious walker model of Michael Fisher, proposed by Owczarek, Essam and Brak, in which there is an interaction of the walkers with a fixed wall. I show how to completely solve the problem of determining the asymptotic behaviour of the corresponding 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.
Fakultät für Mathematik, Universität Wien
Speaker
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Christian Krattenthaler
