Geodesic
Enumerative combinatorics of $XX0$ Heisenberg chain
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 53-67 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper the enumeration of a certain class of directed lattice paths is based on the analysis of dynamical correlation functions of the exactly solvable $XX0$ model. This model is the zero anisotropy limit of one of the basic models of the theory of integrable systems, the $XXZ$ Heisenberg magnet. We demonstrate that the considered correlation functions under different boundary conditions are the exponential generating functions of the different types of paths, Dyck and Motzkin in particular. 
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     title = {Enumerative combinatorics of $XX0$ {Heisenberg} chain},
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N. M. Bogoliubov. Enumerative combinatorics of $XX0$ Heisenberg chain. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 26, Tome 487 (2019), pp. 53-67. http://geodesic.mathdoc.fr/item/ZNSL_2019_487_a3/

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