Random walk with long-range interaction with a barrier and its dual: Exact results |
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Authors: | Thierry Huillet |
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Institution: | Laboratoire de Physique Théorique et Modélisation, CNRS-UMR 8089 et Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, F-95302, Cergy-Pontoise, France |
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Abstract: | We consider the random walk on Z+={0,1,…}, with up and down transition probabilities given the chain is in state x∈{1,2,…}: |
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Keywords: | primary 60J10 secondary 42C05 |
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