Lattice walk area enumeration is shown to be the grand partition function of exclusion statistics particles, with explicit g=2 square-lattice and g=3 triangular-lattice realizations.
Fractional statistics in arbitrary dimensions: A generalization of the Pauli principle
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Exclusion statistics and lattice random walks
Lattice walk area enumeration is shown to be the grand partition function of exclusion statistics particles, with explicit g=2 square-lattice and g=3 triangular-lattice realizations.