Zdzislaw Burda, Desmond A. Johnston
Published 2025-01-24Version 1
We exploit the equivalence between the partition function of an adsorbing Dyck walk model and the Asymmetric Simple Exclusion Process (ASEP) normalization to obtain the thermodynamic limit of the locus of the ASEP normalization zeros from a conformal map. We discuss the equivalence between this approach and using an electrostatic analogy to determine the locus, both in the case of the ASEP and the random allocation model.
On Random Allocation Models in the Thermodynamic Limit
Partition function zeros of zeta-urns
Construction of a Coordinate Bethe Ansatz for the asymmetric simple exclusion process with open boundaries
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