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On a random walk with memory and its relation with Markovian processes

✍ Scribed by Turban, Loïc


Book ID
125987111
Publisher
IOP Publishing
Year
2010
Tongue
English
Weight
425 KB
Volume
43
Category
Article
ISSN
1751-8113

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📜 SIMILAR VOLUMES


Random walk with long-range interaction
✍ Thierry Huillet 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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 δ ≥ -1 is a real tuning parameter. We assume that this random walk is reflected at the origin. For δ > 0, the walker is attracted to