Hamiltonian and exclusion statistics approach to discrete forward-moving paths – Archive ouverte HAL
Stéphane Ouvry 1 Alexios P. Polychronakos Stéphane Ouvry, Alexios P. Polychronakos. Hamiltonian and exclusion statistics approach to discrete forward-moving paths. Phys.Rev.E, 2021, 104 (1), pp.014143. ⟨10.1103/PhysRevE.104.014143⟩. ⟨hal-03197542⟩ 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 […]