Hamiltonian and exclusion statistics approach to discrete forward-moving paths.
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DOI: 10.1103/physreve.104.014143
Abstract: We use a Hamiltonian (transition matrix) description of height-restricted Dyck paths on the plane in which generating functions for the paths arise as matrix elements of the propagator to evaluate the length and area generating… read more here.
Keywords: exclusion; hamiltonian exclusion; discrete forward; exclusion statistics ... See more keywords