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A combinatorial result with applications to self-interacting random walks

✍ Scribed by Mark Holmes; Thomas S. Salisbury

Book ID
113698802
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
286 KB
Volume
119
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES

Random walk with long-range interaction
Random walk with long-range interaction with a barrier and its dual: Exact results
✍ 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