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Random walk to and interaction with an impurity

✍ Scribed by Peter M. Richards


Publisher
Springer
Year
1983
Tongue
English
Weight
517 KB
Volume
30
Category
Article
ISSN
0022-4715

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Random walk with long-range interaction
✍ Thierry Huillet πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 962 KB

## 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 ∈ {1, 2, . . .}: Here Ξ΄ β‰₯ -1 is a real tuning parameter. We assume that this random walk is reflected at the origin. For Ξ΄ > 0, the walker is attracted to