Random walk with long-range interaction
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Thierry Huillet
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Article
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2010
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Elsevier Science
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English
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## a b s t r a c t We consider the random walk on Z + = {0, 1, . . .}, with up and down transition probabilities given the chain is in state x โ {1, 2, . . .}: Here ฮด โฅ -1 is a real tuning parameter. We assume that this random walk is reflected at the origin. For ฮด > 0, the walker is attracted to