Geodesic
$XX0$ Heisenberg chain and random walks
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Tome 325 (2005), pp. 13-27

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The time-dependent correlation functions of the $XX0$ Heisenberg chain over the ferromagnetic vacuum are considered as the generating functions of random walks on a one-dimensional lattice with different boundary conditions. The long-time asymptotic behaviour of these functions is studied. Bibliography: 18 titles. 
@article{ZNSL_2005_325_a1,
     author = {N. M. Bogolyubov},
     title = {$XX0$ {Heisenberg} chain and random walks},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {13--27},
     publisher = {mathdoc},
     volume = {325},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_325_a1/}
}
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N. M. Bogolyubov. $XX0$ Heisenberg chain and random walks. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XII, Tome 325 (2005), pp. 13-27. http://geodesic.mathdoc.fr/item/ZNSL_2005_325_a1/