Exclusion statistics and lattice random walks

We establish a connection between exclusion statistics with arbitrary integer exclusion parameter g and a class of random walks on planar lattices, relating the generating function for the algebraic area of closed walks on the lattice to the grand partition function of particles obeying exclusion st...

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Bibliographic Details
Main Authors: Stéphane Ouvry, Alexios P. Polychronakos
Format: Article
Language:English
Published: Elsevier 2019-11-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319302172