Geodesic
Semi-infinite Heisenberg XX0 chain and random walks
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 30, Tome 532 (2024), pp. 91-108

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Heisenberg XX0 chain on semi-infinte interval enables modelling of random walks restricted by presence of impenetrable wall. The state vectors of the Hamiltonian are represented in terms of symplectic Schur functions. The transition amplitudes of the model are obtained in the integral form and are estimated in the case of unlimited increasing of the number of steps of random walks. 
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     title = {Semi-infinite {Heisenberg} {XX0} chain and random walks},
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N. M. Bogoliubov; C. L. Malyshev. Semi-infinite Heisenberg XX0 chain and random walks. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 30, Tome 532 (2024), pp. 91-108. http://geodesic.mathdoc.fr/item/ZNSL_2024_532_a3/